BOOK I. OF EUCLID'S "ELEMENTS."

Produced by Marius Masi, Don Kretz and the Online

Distributed Proofreading Team at http://www.pgdp.net

Transcriber's notes:

(1) Numbers following letters (without space) like C2 were originally

printed in subscript. Letter subscripts are preceded by an

underscore, like C_n.

(2) Characters following a carat (^) were printed in superscript.

(3) Side-notes were relocated to function as titles of their respective

paragraphs.

(4) Macrons and breves above letters and dots below letters were not

inserted.

(5) [root] stands for the root symbol; [alpha], [beta], etc. for greek

letters.

(6) The following typographical errors have been corrected:

ARTICLE GEOFFREY: "... his history in chiefly one of quarrels, with

the see of Canterbury, with the chancellor William Longchamp, with

his half-brothers Richard and John, and especially with his canons

at York." 'William' amended from 'Willian'.

ARTICLE GEOLOGY: "... and at the same time greater appreciation has

been shown of the signification and strength of the geological

proofs of the high antiquity of our planet." 'strength' amended

from 'stength'.

ARTICLE GEOLOGY: "... it can be demonstrated that sometimes an inch

or two of sediment might, on certain horizons, represent the

deposit of an enormously longer period than a hundred or a thousand

times the same amount of sediment on other horizons." 'might'

amended from 'much'.

ARTICLE GEOLOGY: "But no such extensive disturbance of the normal

conditions of the distribution of life can take place without

carrying with it many secondary effects, and setting in motion a

wide cycle of change and of reaction in the animal and vegetable

kingdoms." 'kingdoms' amended from 'kindgoms'.

ARTICLE GEOMETRY: "The bases and altitudes of equal solid

parallelepipeds are reciprocally proportional; and if the bases and

altitudes be reciprocally proportional, the solid parallelepipeds

are equal." 'are' amended from 'and'.

ARTICLE GEOMETRY: "An alternative method of testing a relation is

illustrated in the following example:--If A, B, C, D, E,

F be six collinear points, then" 'following example:--' amended

from 'example: following'.

ARTICLE GEOMETRY: "3. In an hyperbolic involution any two conjugate

points are harmonic conjugates with regard to the two foci." 'an'

amended from 'a'.

ARTICLE GEOMETRY: "If two lines, given by their projections,

intersect, the intersection of their planes and the intersection of

their elevations must lie in a line perpendicular to the axis,

because they must be the projections of the point common to the two

lines." 'planes' amended from 'plans'.

ARTICLE GEOMETRY: "Where this is the case, if [alpha] be the measure

of curvature, the linear element can be put into the form" 'if'

amended from 'it'.

ARTICLE GEOMETRY: "The development of the consequences of these

metrical definitions is the subject of non-Euclidean geometry."

'subject' amended from 'subjct'.

ENCYCLOPAEDIA BRITANNICA

A DICTIONARY OF ARTS, SCIENCES, LITERATURE

AND GENERAL INFORMATION

ELEVENTH EDITION

VOLUME XI, SLICE VI

GEODESY to GEOMETRY

ARTICLES IN THIS SLICE:

GEODESY GEOFFROY, ETIENNE FRANCOIS

GEOFFREY (Martel) GEOFFROY, JULIEN LOUIS

GEOFFREY (Plantagenet) GEOFFROY SAINT-HILAIRE, ETIENNE

GEOFFREY (duke of Brittany) GEOFFROY SAINT-HILAIRE, ISIDORE

GEOFFREY (archbishop of York) GEOGRAPHY

GEOFFREY DE MONTBRAY GEOID

GEOFFREY OF MONMOUTH GEOK-TEPE

GEOFFREY OF PARIS GEOLOGY

GEOFFREY THE BAKER GEOMETRICAL CONTINUITY

GEOFFRIN, MARIE THERESE RODET GEOMETRY

GEODESY (from the Gr. [Greek: ge], the earth, and [Greek: daiein], to

divide), the science of surveying (q.v.) extended to large tracts of

country, having in view not only the production of a system of maps of

very great accuracy, but the determination of the curvature of the

surface of the earth, and eventually of the figure and dimensions of the

earth. This last, indeed, may be the sole object in view, as was the

case in the operations conducted in Peru and in Lapland by the

celebrated French astronomers P. Bouguer, C.M. de la Condamine, P.L.M.

de Maupertuis, A.C. Clairault and others; and the measurement of the

meridian arc of France by P.F.A. Mechain and J.B.J. Delambre had for

its end the determination of the true length of the "metre" which was to

be the legal standard of length of France (see EARTH, FIGURE OF THE).

The basis of every extensive survey is an accurate triangulation, and

the operations of geodesy consist in the measurement, by theodolites, of

the angles of the triangles; the measurement of one or more sides of

these triangles on the ground; the determination by astronomical

observations of the azimuth of the whole network of triangles; the

determination of the actual position of the same on the surface of the

earth by observations, first for latitude at some of the stations, and

secondly for longitude; the determination of altitude for all stations.

For the computation, the points of the actual surface of the earth are

imagined as projected along their plumb lines on the mathematical

figure, which is given by the stationary sea-level, and the extension of

the sea through the continents by a system of imaginary canals. For many

purposes the mathematical surface is assumed to be a plane; in other

cases a sphere of radius 6371 kilometres (20,900,000 ft.). In the case

of extensive operations the surface must be considered as a compressed

ellipsoid of rotation, whose minor axis coincides with the earth's axis,

and whose compression, flattening, or ellipticity is about 1/298.

_Measurement of Base Lines._

To determine by actual measurement on the ground the length of a side

of one of the triangles ("base line"), wherefrom to infer the lengths

of all the other sides in the triangulation, is not the least

difficult operation of a trigonometrical survey. When the problem is

stated thus--To determine the number of times that a certain standard

or unit of length is contained between two finely marked points on the

surface of the earth at a distance of some miles asunder, so that the

error of the result may be pronounced to lie between certain very

narrow limits,--then the question demands very serious consideration.

The representation of the unit of length by means of the distance

between two fine lines on the surface of a bar of metal at a certain

temperature is never itself free from uncertainty and probable error,

owing to the difficulty of knowing at any moment the precise

temperature of the bar; and the transference of this unit, or a

multiple of it, to a measuring bar will be affected not only with

errors of observation, but with errors arising from uncertainty of

temperature of both bars. If the measuring bar be not

self-compensating for temperature, its expansion must be determined by

very careful experiments. The thermometers required for this purpose

must be very carefully studied, and their errors of division and index

error determined.

In order to avoid the difficulty in exactly determining the

temperature of a bar by the mercury thermometer, F.W. Bessel

introduced in 1834 near Konigsberg a compound bar which constituted a

metallic thermometer.[1] A zinc bar is laid on an iron bar two toises

long, both bars being perfectly planed and in free contact, the zinc

bar being slightly shorter and the two bars rigidly united at one end.

As the temperature varies, the difference of the lengths of the bars,

as perceived by the other end, also varies, and affords a quantitative

correction for temperature variations, which is applied to reduce the

length to standard temperature. During the measurement of the base

line the bars were not allowed to come into contact, the interval

being measured by the insertion of glass wedges. The results of the

comparisons of four measuring rods with one another and with the

standards were elaborately computed by the method of least-squares.

The probable error of the measured length of 935 toises (about 6000

ft.) has been estimated as 1/863500 or 1.2 [mu] ([mu] denoting a

millionth). With this apparatus fourteen base lines were measured in

Prussia and some neighbouring states; in these cases a somewhat higher

degree of accuracy was obtained.

The principal triangulation of Great Britain and Ireland has seven

base lines: five have been measured by steel chains, and two, more

exactly, by the compensation bars of General T.F. Colby, an apparatus

introduced in 1827-1828 at Lough Foyle in Ireland. Ten base lines were

measured in India in 1831-1869 by the same apparatus. This is a system

of six compound-bars self-correcting for temperature. The bars may be

thus described: Two bars, one of brass and the other of iron, are laid

in parallelism side by side, firmly united at their centres, from

which they may freely expand or contract; at the standard temperature

they are of the same length. Let AB be one bar, A'B' the other; draw

lines through the corresponding extremities AA' (to P) and BB' (to Q),

and make A'P = B'Q, AA' being equal to BB'. If the ratio A'P/AP equals

the ratio of the coefficients of expansion of the bars A'B' and AB,

then, obviously, the distance PQ is constant (or nearly so). In the

actual instrument P and Q are finely engraved dots 10 ft. apart. In

practice the bars, when aligned, are not in contact, an interval of 6

in. being allowed between each bar and its neighbour. This distance is

accurately measured by an ingenious micrometrical arrangement

constructed on exactly the same principle as the bars themselves.

The last base line measured in India had a length of 8913 ft. In

consequence of some suspicion as to the accuracy of the compensation

apparatus, the measurement was repeated four times, the operations

being conducted so as to determine the actual values of the probable

errors of the apparatus. The direction of the line (which is at Cape

Comorin) is north and south. In two of the measurements the brass

component was to the west, in the others to the east; the differences

between the individual measurements and the mean of the four were

+0.0017, -0.0049, -0.0015, +0.0045 ft. These differences are very

small; an elaborate investigation of all sources of error shows that

the probable error of a base line in India is on the average [+-]2.8

[mu]. These compensation bars were also used by Sir Thomas Maclear in

the measurement of the base line in his extension of Lacaille's arc at

the Cape. The account of this operation will be found in a volume

entitled _Verification and Extension of Lacaille's Arc of Meridian at

the Cape of Good Hope_, by Sir Thomas Maclear, published in 1866. A

rediscussion has been given by Sir David Gill in his _Report on the

Geodetic Survey of South Africa, &c., 1896_.

A very simple base apparatus was employed by W. Struve in his

triangulations in Russia from 1817 to 1855. This consisted of four

wrought-iron bars, each two toises (rather more than 13 ft.) long; one

end of each bar is terminated in a small steel cylinder presenting a

slightly convex surface for contact, the other end carries a contact

lever rigidly connected with the bar. The shorter arm of the lever

terminates below in a polished hemisphere, the upper and longer arm

traversing a vertical divided arc. In measuring, the plane end of one

bar is brought into contact with the short arm of the contact lever

(pushed forward by a weak spring) of the next bar. Each bar has two

thermometers, and a level for determining the inclination of the bar

in measuring. The manner of transferring the end of a bar to the

ground is simply this: under the end of the bar a stake is driven very

firmly into the ground, carrying on its upper surface a disk, capable

of movement in the direction of the measured line by means of

slow-motion screws. A fine mark on this disk is brought vertically

under the end of the bar by means of a theodolite which is planted at

a distance of 25 ft. from the stake in a direction perpendicular to

the base. Struve investigated for each base the probable errors of the

measurement arising from each of these seven causes: Alignment,

inclination, comparisons with standards, readings of index, personal

errors, uncertainties of temperature, and the probable errors of

adopted rates of expansion. He found that [+-]0.8 [mu] was the mean of

the probable errors of the seven bases measured by him. The

Austro-Hungarian apparatus is similar; the distance of the rods is

measured by a slider, which rests on one of the ends of each rod.

Twenty-two base lines were measured in 1840-1899.

General Carlos Ibanez employed in 1858-1879, for the measurement of

nine base lines in Spain, two apparatus similar to the apparatus

previously employed by Porro in Italy; one is complicated, the other

simplified. The first, an apparatus of the brothers Brunner of Paris,

was a thermometric combination of two bars, one of platinum and one of

brass, in length 4 metres, furnished with three levels and four

thermometers. Suppose A, B, C three micrometer microscopes very firmly

supported at intervals of 4 metres with their axes vertical, and

aligned in the plane of the base line by means of a transit

instrument, their micrometer screws being in the line of measurement.

The measuring bar is brought under say A and B, and those micrometers

read; the bar is then shifted and brought under B and C. By repetition

of this process, the reading of a micrometer indicating the end of

each position of the bar, the measurement is made.

Quite similar apparatus (among others) has been employed by the French

and Germans. Since, however, it only permitted a distance of about 300

m. to be measured daily, Ibanez introduced a simplification; the

measuring rod being made simply of steel, and provided with inlaid

mercury thermometers. This apparatus was used in Switzerland for the

measurement of three base lines. The accuracy is shown by the

estimated probable errors: [+-]0.2 [mu] to [+-]0.8 [mu]. The distance

measured daily amounts at least to 800 m.

A greater daily distance can be measured with the same accuracy by

means of Bessel's apparatus; this permits the ready measurement of

2000 m. daily. For this, however, it is important to notice that a

large staff and favourable ground are necessary. An important

improvement was introduced by Edward Jaderin of Stockholm, who

measures with stretched wires of about 24 metres long; these wires are

about 1.65 mm. in diameter, and when in use are stretched by an

accurate spring balance with a tension of 10 kg.[2] The nature of the

ground has a very trifling effect on this method. The difficulty of

temperature determinations is removed by employing wires made of

invar, an alloy of steel (64%) and nickel (36%) which has practically

no linear expansion for small thermal changes at ordinary

temperatures; this alloy was discovered in 1896 by Benoit and

Guillaume of the International Bureau of Weights and Measures at

Breteuil. Apparently the future of base-line measurements rests with

the invar wires of the Jaderin apparatus; next comes Porro's apparatus

with invar bars 4 to 5 metres long.

Results have been obtained in the United States, of great importance

in view of their accuracy, rapidity of determination and economy. For

the measurement of the arc of meridian in longitude 98 deg. E., in

1900, nine base lines of a total length of 69.2 km. were measured in

six months. The total cost of one base was $1231. At the beginning and

at the end of the field-season a distance of exactly 100 m. was

measured with R.S. Woodward's "5-m. ice-bar" (invented in 1891); by

means of the remeasurement of this length the standardization of the

apparatus was done under the same conditions as existed in the case of

the base measurements. For the measurements there were employed two

steel tapes of 100 m. long, provided with supports at distances of 25

m., two of 50 m., and the duplex apparatus of Eimbeck, consisting of

four 5-m. rods. Each base was divided into sections of about 1000 m.;

one of these, the "test kilometre," was measured with all the five

apparatus, the others only with two apparatus, mostly tapes. The

probable error was about [+-]0.8 [mu], and the day's work a distance

of about 2000 m. Each of the four rods of the duplex apparatus

consists of two bars of brass and steel. Mercury thermometers are

inserted in both bars; these serve for the measurement of the length

of the base lines by each of the bars, as they are brought into their

consecutive positions, the contact being made by an elastic-sliding

contact. The length of the base lines may be calculated for each bar

only, and also by the supposition that both bars have the same

temperature. The apparatus thus affords three sets of results, which

mutually control themselves, and the contact adjustments permit rapid

work. The same device has been applied to the older

bimetallic-compensating apparatus of Bache-Wurdemann (six bases,

1847-1857) and of Schott. There was also employed a single rod

bimetallic apparatus on F. Porro's principle, constructed by the

brothers Repsold for some base lines. Excellent results have been more

recently obtained with invar tapes.

The following results show the lengths of the same German base lines

as measured by different apparatus:

metres.

Base at Berlin 1864 Apparatus of Bessel 2336.3920

" " 1880 " Brunner .3924

Base at Strehlen 1854 " Bessel 2762.5824

" " 1879 " Brunner .5852

Old base at Bonn 1847 " Bessel 2133.9095

" " 1892 " " .9097

New base at Bonn 1892 " " 2512.9612

" " 1892 " Brunner .9696

It is necessary that the altitude above the level of the sea of every

part of a base line be ascertained by spirit levelling, in order that

the measured length may be reduced to what it would have been had the

measurement been made on the surface of the sea, produced in

imagination. Thus if l be the length of a measuring bar, h its height

at any given position in the measurement, r the radius of the earth,

then the length radially projected on to the level of the sea is l(1 -

h/r). In the Salisbury Plain base line the reduction to the level of

the sea is -0.6294 ft.

The total number of base lines measured in Europe up to the present

time is about one hundred and ten, nineteen of which do not exceed in

length 2500 metres, or about 1-1/2 miles, and three--one in France, the

others in Bavaria--exceed 19,000 metres. The question has been

frequently discussed whether or not the advantage of a long base is

sufficiently great to warrant the expenditure of time that it

requires, or whether as much precision is not obtainable in the end by

careful triangulation from a short base. But the answer cannot be

given generally; it must depend on the circumstances of each

particular case. With Jaderin's apparatus, provided with invar wires,

bases of 20 to 30 km. long are obtained without difficulty.

[Illustration: FIG. 1.]

In working away from a base line ab, stations c, d, e, f are carefully

selected so as to obtain from well-shaped triangles gradually

increasing sides. Before, however, finally leaving the base line, it

is usual to verify it by triangulation thus: during the measurement

two or more points, as p, q (fig. 1), are marked in the base in

positions such that the lengths of the different segments of the line

are known; then, taking suitable external stations, as h, k, the

angles of the triangles bhp, phq, hqk, kqa are measured. From these

angles can be computed the ratios of the segments, which must agree,

if all operations are correctly performed, with the ratios resulting

from the measures. Leaving the base line, the sides increase up to

10, 30 or 50 miles occasionally, but seldom reaching 100 miles. The

triangulation points may either be natural objects presenting

themselves in suitable positions, such as church towers; or they may

be objects specially constructed in stone or wood on mountain tops or

other prominent ground. In every case it is necessary that the precise

centre of the station be marked by some permanent mark. In India no

expense is spared in making permanent the principal trigonometrical

stations--costly towers in masonry being erected. It is essential that

every trigonometrical station shall present a fine object for

observation from surrounding stations.

_Horizontal Angles._

In placing the theodolite over a station to be observed from, the

first point to be attended to is that it shall rest upon a perfectly

solid foundation. The method of obtaining this desideratum must depend

entirely on the nature of the ground; the instrument must if possible

be supported on rock, or if that be impossible a solid foundation must

be obtained by digging. When the theodolite is required to be raised

above the surface of the ground in order to command particular points,

it is necessary to build two scaffolds,--the outer one to carry the

observatory, the inner one to carry the instrument,--and these two

edifices must have no point of contact. Many cases of high scaffolding

have occurred on the English Ordnance Survey, as for instance at

Thaxted church, where the tower, 80 ft. high, is surmounted by a spire

of 90 ft. The scaffold for the observatory was carried from the base

to the top of the spire; that for the instrument was raised from a

point of the spire 140 ft. above the ground, having its bearing upon

timbers passing through the spire at that height. Thus the instrument,

at a height of 178 ft. above the ground, was insulated, and not

affected by the action of the wind on the observatory.

At every station it is necessary to examine and correct the

adjustments of the theodolite, which are these: the line of

collimation of the telescope must be perpendicular to its axis of

rotation; this axis perpendicular to the vertical axis of the

instrument; and the latter perpendicular to the plane of the horizon.

The micrometer microscopes must also measure correct quantities on the

divided circle or circles. The method of observing is this. Let A, B,

C ... be the stations to be observed taken in order of azimuth; the

telescope is first directed to A and the cross-hairs of the telescope

made to bisect the object presented by A, then the microscopes or

verniers of the horizontal circle (also of the vertical circle if

necessary) are read and recorded. The telescope is then turned to B,

which is observed in the same manner; then C and the other stations.

Coming round by continuous motion to A, it is again observed, and the

agreement of this second reading with the first is some test of the

stability of the instrument. In taking this round of angles--or "arc,"

as it is called on the Ordnance Survey--it is desirable that the

interval of time between the first and second observations of A should

be as small as may be consistent with due care. Before taking the next

arc the horizontal circle is moved through 20 deg. or 30 deg.; thus a

different set of divisions of the circle is used in each arc, which

tends to eliminate the errors of division.

It is very desirable that all arcs at a station should contain one

point in common, to which all angular measurements are thus

referred,--the observations on each arc commencing and ending with

this point, which is on the Ordnance Survey called the "referring

object." It is usual for this purpose to select, from among the points

which have to be observed, that one which affords the best object for

precise observation. For mountain tops a "referring object" is

constructed of two rectangular plates of metal in the same vertical

plane, their edges parallel and placed at such a distance apart that

the light of the sky seen through appears as a vertical line about 10"

in width. The best distance for this object is from 1 to 2 miles.

This method seems at first sight very advantageous; but if, however,

it be desired to attain the highest accuracy, it is better, as shown

by General Schreiber of Berlin in 1878, to measure only single angles,

and as many of these as possible between the directions to be

determined. Division-errors are thus more perfectly eliminated, and

errors due to the variation in the stability, &c., of the instruments

are diminished. This method is rapidly gaining precedence.

The theodolites used in geodesy vary in pattern and in size--the

horizontal circles ranging from 10 in. to 36 in. in diameter. In

Ramsden's 36-in. theodolite the telescope has a focal length of 36 in.

and an aperture of 2.5 in., the ordinarily used magnifying power being

54; this last, however, can of course be changed at the requirements

of the observer or of the weather. The probable error of a single

observation of a fine object with this theodolite is about 0".2. Fig.

2 represents an altazimuth theodolite of an improved pattern used on

the Ordnance Survey. The horizontal circle of 14-in. diameter is read

by three micrometer microscopes; the vertical circle has a diameter of

12 in., and is read by two microscopes. In the great trigonometrical

survey of India the theodolites used in the more important parts of

the work have been of 2 and 3 ft. diameter--the circle read by five

equidistant microscopes. Every angle is measured twice in each

position of the zero of the horizontal circle, of which there are

generally ten; the entire number of measures of an angle is never

less than 20. An examination of 1407 angles showed that the probable

error of an observed angle is on the average [+-] 0".28.

For the observations of very distant stations it is usual to employ a

heliotrope (from the Gr. [Greek: helios], sun; [Greek: tropos], a

turn), invented by Gauss at Gottingen in 1821. In its simplest form

this is a plane mirror, 4, 6, or 8 in. in diameter, capable of

rotation round a horizontal and a vertical axis. This mirror is placed

at the station to be observed, and in fine weather it is kept so

directed that the rays of the sun reflected by it strike the distant

observing telescope. To the observer the heliotrope presents the

appearance of a star of the first or second magnitude, and is

generally a pleasant object for observing.

Observations at night, with the aid of light-signals, have been

repeatedly made, and with good results, particularly in France by

General Francois Perrier, and more recently in the United States by

the Coast and Geodetic Survey; the signal employed being an acetylene

bicycle-lamp, with a lens 5 in. in diameter. Particularly noteworthy

are the trigonometrical connexions of Spain and Algeria, which were

carried out in 1879 by Generals Ibanez and Perrier (over a distance of

270 km.), of Sicily and Malta in 1900, and of the islands of Elba and

Sardinia in 1902 by Dr Guarducci (over distances up to 230 km.); in

these cases artificial light was employed: in the first case electric

light and in the two others acetylene lamps.

[Illustration: FIG. 2.--Altazimuth Theodolite.]

_Astronomical Observations._

The direction of the meridian is determined either by a theodolite or

a portable transit instrument. In the former case the operation

consists in observing the angle between a terrestrial

object--generally a mark specially erected and capable of illumination

at night--and a close circumpolar star at its greatest eastern or

western azimuth, or, at any rate, when very near that position. If the

observation be made t minutes of time before or after the time of

greatest azimuth, the azimuth then will differ from its maximum value

by (450t)^2 sin 1" sin 2[delta]/ sin z, in seconds of angle, omitting

smaller terms, [delta] being the star's declination and z its zenith

distance. The collimation and level errors are very carefully

determined before and after these observations, and it is usual to

arrange the observations by the reversal of the telescope so that

collimation error shall disappear. If b, c be the level and

collimation errors, the correction to the circle reading is b cot z

[+-] c cosec z, b being positive when the west end of the axis is

high. It is clear that any uncertainty as to the real state of the

level will produce a corresponding uncertainty in the resulting value

of the azimuth,--an uncertainty which increases with the latitude and

is very large in high latitudes. This may be partly remedied by

observing in connexion with the star its reflection in mercury. In

determining the value of "one division" of a level tube, it is

necessary to bear in mind that in some the value varies considerably

with the temperature. By experiments on the level of Ramsden's 3-foot

theodolite, it was found that though at the ordinary temperature of 66

deg. the value of a division was about one second, yet at 32 deg. it

was about five seconds.

In a very excellent portable transit used on the Ordnance Survey, the

uprights carrying the telescope are constructed of mahogany, each

upright being built of several pieces glued and screwed together; the

base, which is a solid and heavy plate of iron, carries a reversing

apparatus for lifting the telescope out of its bearings, reversing it

and letting it down again. Thus is avoided the change of temperature

which the telescope would incur by being lifted by the hands of the

observer. Another form of transit is the German diagonal form, in

which the rays of light after passing through the object-glass are

turned by a total reflection prism through one of the transverse arms

of the telescope, at the extremity of which arm is the eye-piece. The

unused half of the ordinary telescope being cut away is replaced by a

counterpoise. In this instrument there is the advantage that the

observer without moving the position of his eye commands the whole

meridian, and that the level may remain on the pivots whatever be the

elevation of the telescope. But there is the disadvantage that the

flexure of the transverse axis causes a variable collimation error

depending on the zenith distance of the star to which it is directed;

and moreover it has been found that in some cases the personal error

of an observer is not the same in the two positions of the telescope.

To determine the direction of the meridian, it is well to erect two

marks at nearly equal angular distances on either side of the north

meridian line, so that the pole star crosses the vertical of each mark

a short time before and after attaining its greatest eastern and

western azimuths.

If now the instrument, perfectly levelled, is adjusted to have its

centre wire on one of the marks, then when elevated to the star, the

star will traverse the wire, and its exact position in the field at

any moment can be measured by the micrometer wire. Alternate

observations of the star and the terrestrial mark, combined with

careful level readings and reversals of the instrument, will enable

one, even with only one mark, to determine the direction of the

meridian in the course of an hour with a probable error of less than a

second. The second mark enables one to complete the station more

rapidly and gives a check upon the work. As an instance, at Findlay

Seat, in latitude 57 deg. 35', the resulting azimuths of the two marks

were 177 deg. 45' 37".29 [+-] 0".20 and 182 deg. 17' 15".61 [+-] 0".13,

while the angle between the two marks directly measured by a

theodolite was found to be 4 deg. 31' 37".43 [+-] 0".23.

[Illustration: FIG. 3.]

We now come to the consideration of the determination of time with the

transit instrument. Let fig. 3 represent the sphere stereographically

projected on the plane of the horizon,--ns being the meridian, we the

prime vertical, Z, P the zenith and the pole. Let p be the point in

which the production of the axis of the instrument meets the celestial

sphere, S the position of a star when observed on a wire whose

distance from the collimation centre is c. Let a be the azimuthal

deviation, namely, the angle wZp, b the level error so that Zp = 90

deg. - b. Let also the hour angle corresponding to p be 90 deg. - n,

and the declination of the same = m, the star's declination being

[delta], and the latitude [phi]. Then to find the hour angle ZPS =

[tau] of the star when observed, in the triangles pPS, pPZ we have,

since pPS = 90 + [tau] - n,

-Sin c = sin m sin [delta] + cos m cos [delta] sin (n - [tau]),

Sin m = sin b sin [phi] - cos b cos [phi] sin a,

Cos m sin n = sin b cos [phi] + cos b sin [phi] sin a.

And these equations solve the problem, however large be the errors of

the instrument. Supposing, as usual, a, b, m, n to be small, we have

at once [tau] = n + c sec [delta] + m tan [delta], which is the

correction to the observed time of transit. Or, eliminating m and n by

means of the second and third equations, and putting z for the zenith

distance of the star, t for the observed time of transit, the

corrected time is t + (a sin z + b cos z + c) / cos [delta]. Another

very convenient form for stars near the zenith is [tau] = b sec [phi]

+ c sec [delta] + m (tan [delta] - tan [phi]).

Suppose that in commencing to observe at a station the error of the

chronometer is not known; then having secured for the instrument a

very solid foundation, removed as far as possible level and

collimation errors, and placed it by estimation nearly in the

meridian, let two stars differing considerably in declination be

observed--the instrument not being reversed between them. From these

two stars, neither of which should be a close circumpolar star, a good

approximation to the chronometer error can be obtained; thus let

[epsilon]1, [epsilon]2, be the apparent clock errors given by these

stars if [delta]1, [delta]2 be their declinations the real error is

[epsilon] = [epsilon]1 + ([epsilon]1 - [epsilon]2)

(tan [phi] - tan [delta]1) / (tan [delta]1 - tan [delta]2).

Of course this is still only approximate, but it will enable the

observer (who by the help of a table of natural tangents can compute

[epsilon] in a few minutes) to find the meridian by placing at the

proper time, which he now knows approximately, the centre wire of his

instrument on the first star that passes--not near the zenith.

The transit instrument is always reversed at least once in the course

of an evening's observing, the level being frequently read and

recorded. It is necessary in most instruments to add a correction for

the difference in size of the pivots.

The transit instrument is also used in the prime vertical for the

determination of latitudes. In the preceding figure let q be the point

in which the northern extremity of the axis of the instrument produced

meets the celestial sphere. Let nZq be the azimuthal deviation = a,

and b being the level error, Zq = 90 deg. - b; let also nPq = [tau]

and Pq = [psi]. Let S' be the position of a star when observed on a

wire whose distance from the collimation centre is c, positive when to

the south, and let h be the observed hour angle of the star, viz.

ZPS'. Then the triangles qPS', gPZ give

-Sin c = sin [delta] cos [psi] - cos [delta] sin [psi] cos (h + [tau]),

Cos [psi] = sin b sin [phi] + cos b cos [phi] cos a,

Sin [psi] sin [tau] = cos b sin a.

Now when a and b are very small, we see from the last two equations

that [psi] = [phi] - b, a = [tau] sin [psi], and if we calculate

[phi]' by the formula cot [phi]' = cot [delta] cos h, the first

equation leads us to this result--

[phi] = [phi]' + (a sin z + b cos z + c)/cos z,

the correction for instrumental error being very similar to that

applied to the observed time of transit in the case of meridian

observations. When a is not very small and z is small, the formulae

required are more complicated.

[Illustration: FIG. 4.--Zenith Telescope constructed for the

International Stations at Mizusawa, Carloforte, Gaithersburg and

Ukiah, by Hermann Wanschaff, Berlin.]

The method of determining latitude by transits in the prime vertical

has the disadvantage of being a somewhat slow process, and of

requiring a very precise knowledge of the time, a disadvantage from

which the zenith telescope is free. In principle this instrument is

based on the proposition that when the meridian zenith distances of

two stars at their upper culminations--one being to the north and the

other to the south of the zenith--are equal, the latitude is the mean

of their declinations; or, if the zenith distance of a star

culminating to the south of the zenith be Z, its declination being

[delta], and that of another culminating to the north with zenith

distance Z' and declination [delta]', then clearly the latitude is

1/2([delta] + [delta]') + 1/2(Z - Z'). Now the zenith telescope does

away with the divided circle, and substitutes the measurement

micrometrically of the quantity Z' - Z.

In fig. 4 is shown a zenith telescope by H. Wanschaff of Berlin, which

is the type used (according to the Central Bureau at Potsdam) since

about 1890 for the determination of the variations of latitude due to

different, but as yet imperfectly understood, influences. The

instrument is supported on a strong tripod, fitted with levelling

screws; to this tripod is fixed the azimuth circle and a long vertical

steel axis. Fitting on this axis is a hollow axis which carries on its

upper end a short transverse horizontal axis with a level. This latter

carries the telescope, which, supported at the centre of its length,

is free to rotate in a vertical plane. The telescope is thus mounted

eccentrically with respect to the vertical axis around which it

revolves. Two extremely sensitive levels are attached to the

telescope, which latter carries a micrometer in its eye-piece, with a

screw of long range for measuring differences of zenith distance. Two

levels are employed for controlling and increasing the accuracy. For

this instrument stars are selected in pairs, passing north and south

of the zenith, culminating within a few minutes of time and within

about twenty minutes (angular) of zenith distance of each other. When

a pair of stars is to be observed, the telescope is set to the mean of

the zenith distances and in the plane of the meridian. The first star

on passing the central meridional wire is bisected by the micrometer;

then the telescope is rotated very carefully through 180 deg. round

the vertical axis, and the second star on passing through the field is

bisected by the micrometer on the centre wire. The micrometer has thus

measured the difference of the zenith distances, and the calculation

to get the latitude is most simple. Of course it is necessary to read

the level, and the observations are not necessarily confined to the

centre wire. In fact if n, s be the north and south readings of the

level for the south star, n', s' the same for the north star, l the

value of one division of the level, m the value of one division of the

micrometer, r, r' the refraction corrections, [mu], [mu]' the

micrometer readings of the south and north star, the micrometer being

supposed to read from the zenith, then, supposing the observation made

on the centre wire,--

[phi] = 1/2([delta] + [delta]') + 1/2([mu] - [mu]')m + 1/4(n + n' - s - s')l +

1/2(r - r').

It is of course of the highest importance that the value m of the

screw be well determined. This is done most effectually by observing

the vertical movement of a close circumpolar star when at its greatest

azimuth.

In a single night with this instrument a very accurate result, say

with a probable error of about 0".2, could be obtained for latitude

from, say, twenty pair of stars; but when the latitude is required to

be obtained with the highest possible precision, two nights at least

are necessary. The weak point of the zenith telescope lies in the

circumstance that its requirements prevent the selection of stars

whose positions are well fixed; very frequently it is necessary to

have the declinations of the stars selected for this instrument

specially observed at fixed observatories. The zenith telescope is

made in various sizes from 30 to 54 in. in focal length; a 30-in.

telescope is sufficient for the highest purposes and is very portable.

The net observation probable-error for one pair of stars is only

[+-]0".1.

The zenith telescope is a particularly pleasant instrument to work

with, and an observer has been known (a sergeant of Royal Engineers,

on one occasion) to take every star in his list during eleven hours on

a stretch, namely, from 6 o'clock P.M. until 5 A.M., and this on a

very cold November night on one of the highest points of the

Grampians. Observers accustomed to geodetic operations attain

considerable powers of endurance. Shortly after the commencement of

the observations on one of the hills in the Isle of Skye a storm

carried away the wooden houses of the men and left the observatory

roofless. Three observatory roofs were subsequently demolished, and

for some time the observatory was used without a roof, being filled

with snow every night and emptied every morning. Quite different,

however, was the experience of the same party when on the top of Ben

Nevis, 4406 ft. high. For about a fortnight the state of the

atmosphere was unusually calm, so much so, that a lighted candle could

often be carried between the tents of the men and the observatory,

whilst at the foot of the hill the weather was wild and stormy.

The determination of the difference of longitude between two stations

A and B resolves itself into the determination of the local time at

each of the stations, and the comparison by signals of the clocks at A

and B. Whenever telegraphic lines are available these comparisons are

made by telegraphy. A small and delicately-made apparatus introduced

into the mechanism of an astronomical clock or chronometer breaks or

closes by the action of the clock an electric circuit every second. In

order to record the minutes as well as seconds, one second in each

minute, namely that numbered 0 or 60, is omitted. The seconds are

recorded on a chronograph, which consists of a cylinder revolving

uniformly at the rate of one revolution per minute covered with white

paper, on which a pen having a slow movement in the direction of the

axis of the cylinder describes a continuous spiral. This pen is

deflected through the agency of an electromagnet every second, and

thus the seconds of the clock are recorded on the chronograph by

offsets from the spiral curve. An observer having his hand on a

contact key in the same circuit can record in the same manner his

observed times of transits of stars. The method of determination of

difference of longitude is, therefore, virtually as follows. After the

necessary observations for instrumental corrections, which are

recorded only at the station of observation, the clock at A is put in

connexion with the circuit so as to write on both chronographs,

namely, that at A and that at B. Then the clock at B is made to write

on both chronographs. It is clear that by this double operation one

can eliminate the effect of the small interval of time consumed in the

transmission of signals, for the difference of longitude obtained from

the one chronograph will be in excess by as much as that obtained from

the other will be in defect. The determination of the personal errors

of the observers in this delicate operation is a matter of the

greatest importance, as therein lies probably the chief source of

residual error.

These errors can nevertheless be almost entirely avoided by using the

impersonal micrometer of Dr Repsold (Hamburg, 1889). In this device

there is a movable micrometer wire which is brought by hand into

coincidence with the star and moved along with it; at fixed points

there are electrical contacts, which replace the fixed wires.

Experiments at the Geodetic Institute and Central Bureau at Potsdam in

1891 gave the following personal equations in the case of four

observers:--

Older Procedure. New Procedure.

A-B -0^s.108 -0^s.004

A-G -0^s.314 -0^s.035

A-S -0^s.184 -0^s.027

B-G -0^s.225 +0^s.013

B-S -0^s.086 -0^s.023

G-S +0^s.109 -0^s.006

These results show that in the later method the personal equation is

small and not so variable; and consequently the repetition of

longitude determinations with exchanged observers and apparatus

entirely eliminates the constant errors, the probable error of such

determinations on ten nights being scarcely [+-]0^s.01.

_Calculation of Triangulation._

The surface of Great Britain and Ireland is uniformly covered by

triangulation, of which the sides are of various lengths from 10 to

111 miles. The largest triangle has one angle at Snowdon in Wales,

another on Slieve Donard in Ireland, and a third at Scaw Fell in

Cumberland; each side is over a hundred miles and the spherical excess

is 64". The more ordinary method of triangulation is, however, that of

chains of triangles, in the direction of the meridian and

perpendicular thereto. The principal triangulations of France, Spain,

Austria and India are so arranged. Oblique chains of triangles are

formed in Italy, Sweden and Norway, also in Germany and Russia, and in

the United States. Chains are composed sometimes merely of consecutive

plain triangles; sometimes, and more frequently in India, of

combinations of triangles forming consecutive polygonal figures. In

this method of triangulating, the sides of the triangles are generally

from 20 to 30 miles in length--seldom exceeding 40.

The inevitable errors of observation, which are inseparable from all

angular as well as other measurements, introduce a great difficulty

into the calculation of the sides of a triangulation. Starting from a

given base in order to get a required distance, it may generally be

obtained in several different ways--that is, by using different sets

of triangles. The results will certainly differ one from another, and

probably no two will agree. The experience of the computer will then

come to his aid, and enable him to say which is the most trustworthy

result; but no experience or ability will carry him through a large

network of triangles with anything like assurance. The only way to

obtain trustworthy results is to employ the method of least squares.

We cannot here give any illustration of this method as applied to

general triangulation, for it is most laborious, even for the simplest

cases.

Three stations, projected on the surface of the sea, give a spherical

or spheroidal triangle according to the adoption of the sphere or the

ellipsoid as the form of the surface. A spheroidal triangle differs

from a spherical triangle, not only in that the curvatures of the

sides are different one from another, but more especially in this

that, while in the spherical triangle the normals to the surface at

the angular points meet at the centre of the sphere, in the spheroidal

triangle the normals at the angles A, B, C meet the axis of revolution

of the spheroid in three different points, which we may designate

[alpha], [beta], [gamma] respectively. Now the angle A of the triangle

as measured by a theodolite is the inclination of the planes BA[alpha]

and CA[alpha], and the angle at B is that contained by the planes

AB[beta] and CB[beta]. But the planes AB[alpha] and AB[beta]

containing the line AB in common cut the surface in two distinct plane

curves. In order, therefore, that a spheroidal triangle may be exactly

defined, it is necessary that the nature of the lines joining the

three vertices be stated. In a mathematical point of view the most

natural definition is that the sides be geodetic or shortest lines.

C.C.G. Andrae, of Copenhagen, has also shown that other lines give a

less convenient computation.

K.F. Gauss, in his treatise, _Disquisitiones generales circa

superficies curvas_, entered fully into the subject of geodetic (or

geodesic) triangles, and investigated expressions for the angles of a

geodetic triangle whose sides are given, not certainly finite

expressions, but approximations inclusive of small quantities of the

fourth order, the side of the triangle or its ratio to the radius of

the nearly spherical surface being a small quantity of the first

order. The terms of the fourth order, as given by Gauss for any

surface in general, are very complicated even when the surface is a

spheroid. If we retain small quantities of the second order only, and

put [A], [B], [C] for the angles of the geodetic triangle, while A, B,

C are those of a plane triangle having sides equal respectively to

those of the geodetic triangle, then, [sigma] being the area of the

plane triangle and [a], [b], [c] the measures of curvature at the

angular points,

[A] = A + [sigma](2[a] + [b] + [c])/12,

[B] = B + [sigma]([a] + 2[b] + [c])/12,

[C] = C + [sigma]([a] + [b] + 2[c])/12.

For the sphere [a] = [b] = [r], and making this simplification, we

obtain the theorem previously given by A.M. Legendre. With the terms

of the fourth order, we have (after Andrae):

[epsilon] [sigma] /m^2 - a^2 [a] - k \

[A] - A = --------- + -------k ( ---------k + ------- ),

3 3 \ 20 4k /

[epsilon] [sigma] /m^2 - b^2 [b] - k \

[B] - B = --------- + -------k ( ---------k + -------- ),

3 3 \ 20 4k /

[epsilon] [sigma] /m^2 - c^2 [c] - k \

[C] - C = --------- + -------k ( ---------k + -------- ),

3 3 \ 20 4k /

in which [epsilon] = [sigma] k {1 + (m^2k / 8)}, 3m^2 = a^2 + b^2 +

c^2, 3k = [a] + [b] + [c]. For the ellipsoid of rotation the measure

of curvature is equal to 1 / [rho]n, [rho] and n being the radii of

curvature of the meridian and perpendicular.

It is rarely that the terms of the fourth order are required. As a

rule spheroidal triangles are calculated as spherical (after

Legendre), i.e. like plane triangles with a decrease of each angle of

about [epsilon] / 3; [epsilon] must, however, be calculated for each

triangle separately with its mean measure of curvature k.

The geodetic line being the shortest that can be drawn on any surface

between two given points, we may be conducted to its most important

characteristics by the following considerations: let p, q be adjacent

points on a curved surface; through s the middle point of the chord pq

imagine a plane drawn perpendicular to pq, and let S be any point in

the intersection of this plane with the surface; then pS + Sq is

evidently least when sS is a minimum, which is when sS is a normal to

the surface; hence it follows that of all plane curves on the surface

joining p, q, when those points are indefinitely near to one another,

that is the shortest which is made by the normal plane. That is to

say, the osculating plane at any point of a geodetic line contains the

normal to the surface at that point. Imagine now three points in

space, A, B, C, such that AB = BC = c; let the direction cosines of AB

be l, m, n, those of BC l', m', n', then x, y, z being the

co-ordinates of B, those of A and C will be respectively--

x - cl : y - cm : z - cn

x + cl': y + cm': z + cn'.

Hence the co-ordinates of the middle point M of AC are x + 1/2c(l' - l),

y + 1/2c(m' - m), z + 1/2c(n' - n), and the direction cosines of BM are

therefore proportional to l' - l : m' - m : n' - n. If the angle made

by BC with AB be indefinitely small, the direction cosines of BM are

as [delta]l : [delta]m : [delta]n. Now if AB, BC be two contiguous

elements of a geodetic, then BM must be a normal to the surface, and

since [delta]l, [delta]m, [delta]n are in this case represented by

[delta](dx/ds), [delta](dy/ds), [delta](dz/ds), and if the equation of

the surface be u = 0, we have

d^2x / du d^2y / du d^2z / du

---- / -- = ---- / -- = ---- / --,

ds^2 / dx ds^2 / dy ds^2 / dz

which, however, are equivalent to only one equation. In the case of

the spheroid this equation becomes

d^2x d^2y

y ---- - x ---- = 0,

ds^2 ds^2

which integrated gives ydx - xdy = Cds. This again may be put in the

form r sin a = C, where a is the azimuth of the geodetic at any

point--the angle between its direction and that of the meridian--and r

the distance of the point from the axis of revolution.

From this it may be shown that the azimuth at A of the geodetic

joining AB is not the same as the astronomical azimuth at A of B or

that determined by the vertical plane A[alpha]B. Generally speaking,

the geodetic lies between the two plane section curves joining A and B

which are formed by the two vertical planes, supposing these points

not far apart. If, however, A and B are nearly in the same latitude,

the geodetic may cross (between A and B) that plane curve which lies

nearest the adjacent pole of the spheroid. The condition of crossing

is this. Suppose that for a moment we drop the consideration of the

earth's non-sphericity, and draw a perpendicular from the pole C on

AB, meeting it in S between A and B. Then A being that point which is

nearest the pole, the geodetic will cross the plane curve if AS be

between 1/4AB and 3/8 AB. If AS lie between this last value and 1/2AB,

the geodetic will lie wholly to the north of both plane curves, that

is, supposing both points to be in the northern hemisphere.

The difference of the azimuths of the vertical section AB and of the

geodetic AB, i.e. the astronomical and geodetic azimuths, is very

small for all observable distances, being approximately:--

Geod. azimuth = Astr. azimuth -(1/12) [e^2/(1 - e^2)] (s^2/[rho]n)

(cos^2[phi] sin 2[alpha] + (s/4a)|sin 2[phi] sin [alpha]), in which: e

and a are the numerical eccentricity and semi-major axis respectively

of the meridian ellipse, [phi] and [alpha] are the latitude and

azimuth at A, s = AB, and [rho] and n are the radii of curvature of

the meridian and perpendicular at A. For s = 100 kilometres, only the

first term is of moment; its value is 0".028 cos^2 [phi] sin 2[alpha],

and it lies well within the errors of observation. If we imagine the

geodetic AB, it will generally trisect the angles between the vertical

sections at A and B, so that the geodetic at A is near the vertical

section AB, and at B near the section BA.[3] The greatest distance of

the vertical sections one from another is e^2s^3 cos^2 [phi]0 sin

2[alpha]0/16a^2, in which [phi]0 and [alpha]0 are the mean latitude

and azimuth respectively of the middle point of AB. For the value s =

64 kilometres, the maximum distance is 3 mm.

An idea of the course of a longer geodetic line may be gathered from

the following example. Let the line be that joining Cadiz and St

Petersburg, whose approximate positions are--

Cadiz. St Petersburg.

Lat. 36 deg. 22' N. 59 deg. 56' N.

Long. 6 deg. 18' W. 30 deg. 17' E.

If G be the point on the geodetic corresponding to F on that one of

the plane curves which contains the normal at Cadiz (by

"corresponding" we mean that F and G are on a meridian) then G is to

the north of F; at a quarter of the whole distance from Cadiz GF is

458 ft., at half the distance it is 637 ft., and at three-quarters it

is 473 ft. The azimuth of the geodetic at Cadiz differs 20" from that

of the vertical plane, which is the astronomical azimuth.

The azimuth of a geodetic line cannot be observed, so that the line

does not enter of necessity into practical geodesy, although many

formulae connected with its use are of great simplicity and elegance.

The geodetic line has always held a more important place in the

science of geodesy among the mathematicians of France, Germany and

Russia than has been assigned to it in the operations of the English

and Indian triangulations. Although the observed angles of a

triangulation are not geodetic angles, yet in the calculation of the

distance and reciprocal bearings of two points which are far apart,

and are connected by a long chain of triangles, we may fall upon the

geodetic line in this manner:--

If A, Z be the points, then to start the calculation from A, we obtain

by some preliminary calculation the approximate azimuth of Z, or the

angle made by the direction of Z with the side AB or AC of the first

triangle. Let P1 be the point where this line intersects BC; then, to

find P2, where the line cuts the next triangle side CD, we make the

angle BP1P2 such that BP1P2 + BP1A = 180 deg. This fixes P2, and P3 is

fixed by a repetition of the same process; so for P4, P5 .... Now it

is clear that the points P1, P2, P3 so computed are those which would

be actually fixed by an observer with a theodolite, proceeding in the

following manner. Having set the instrument up at A, and turned the

telescope in the direction of the computed bearing, an assistant

places a mark P1 on the line BC, adjusting it till bisected by the

cross-hairs of the telescope at A. The theodolite is then placed over

P1, and the telescope turned to A; the horizontal circle is then moved

through 180 deg. The assistant then places a mark P2 on the line CD,

so as to be bisected by the telescope, which is then moved to P2, and

in the same manner P3 is fixed. Now it is clear that the series of

points P1, P2, P3 approaches to the geodetic line, for the plane of

any two consecutive elements P_(n-1) P_n, P_n P_(n+1) contains the

normal at P_n.

If the objection be raised that not the geodetic azimuths but the

astronomical azimuths are observed, it is necessary to consider that

the observed vertical sections do not correspond to points on the

sea-level but to elevated points. Since the normals of the ellipsoid

of rotation do not in general intersect, there consequently arises an

influence of the height on the azimuth. In the case of the measurement

of the azimuth from A to B, the instrument is set to a point A' over

the surface of the ellipsoid (the sea-level), and it is then adjusted

to a point B', also over the surface, say at a height h'. The vertical

plane containing A' and B' also contains A but not B: it must

therefore be rotated through a small azimuth in order to contain B.

The correction amounts approximately to -e^2h' cos^2[phi] sin

2[alpha]/2a; in the case of h' = 1000 m., its value is 0".108

cos^2[phi] sin 2[alpha].

This correction is therefore of greater importance in the case of

observed azimuths and horizontal angles than in the previously

considered case of the astronomical and the geodetic azimuths. The

observed azimuths and horizontal angles must therefore also be

corrected in the case, where it is required to dispense with geodetic

lines.

When the angles of a triangulation have been adjusted by the method of

least squares, and the sides are calculated, the next process is to

calculate the latitudes and longitudes of all the stations starting

from one given point. The calculated latitudes, longitudes and

azimuths, which are designated geodetic latitudes, longitudes and

azimuths, are not to be confounded with the observed latitudes,

longitudes and azimuths, for these last are subject to somewhat large

errors. Supposing the latitudes of a number of stations in the

triangulation to be observed, practically the mean of these determines

the position in latitude of the network, taken as a whole. So the

orientation or general azimuth of the whole is inferred from all the

azimuth observations. The triangulation is then supposed to be

projected on a spheroid of given elements, representing as nearly as

one knows the real figure of the earth. Then, taking the latitude of

one point and the direction of the meridian there as given--obtained,

namely, from the astronomical observations there--one can compute the

latitudes of all the other points with any degree of precision that

may be considered desirable. It is necessary to employ for this

purpose formulae which will give results true even for the longest

distances to the second place of decimals of seconds, otherwise there

will arise an accumulation of errors from imperfect calculation which

should always be avoided. For very long distances, eight places of

decimals should be employed in logarithmic calculations; if seven

places only are available very great care will be required to keep the

last place true. Now let [phi], [phi]' be the latitudes of two

stations A and B; [alpha], [alpha]^* their mutual azimuths counted

from north by east continuously from 0 deg. to 360 deg.; [omega] their

difference of longitude measured from west to east; and s the distance

AB.

First compute a latitude [phi]1 by means of the formula [phi]1 = [phi]

+ (s cos [alpha]) / [rho], where [rho] is the radius of curvature of

the meridian at the latitude [phi]; this will require but four places

of logarithms. Then, in the first two of the following, five places

are sufficient--

s^2 s^2

[epsilon] = ------- sin [alpha] cos a, [eta] = ------- sin^2[alpha] tan[phi]1,

2[rho]n 2[rho]n

s

[phi]' - [phi] = ---- cos ([alpha] - 2/3[epsilon]) - [eta],

rho0

s sin (alpha - 1/3[epsilon])

[omega] = ----------------------------,

n cos ([phi]' + 1/3[eta])

[alpha]^* - [alpha] = [omega] sin ([phi]' + 2/3[eta]) - [epsilon] + 180 deg.

Here n is the normal or radius of curvature perpendicular to the

meridian; both n and [rho] correspond to latitude [phi]1, and [rho]0

to latitude 1/2([phi] + [phi]'). For calculations of latitude and

longitude, tables of the logarithmic values of [rho] sin 1", n sin 1",

and 2 n [rho] sin 1" are necessary. The following table contains these

logarithms for every ten minutes of latitude from 52 deg. to 53 deg.

computed with the elements a = 20926060 and a : b = 295 : 294 :--

+------+------------------+--------------+--------------------+

| | 1 | 1 | 1 |

| Lat. | Log.------------.| Log.--------.| Log.--------------.|

| | [rho] sin 1" | n sin 1" | 2[rho]n sin 1" |

+------+------------------+--------------+--------------------+

|deg. '| | | |

|52 0 | 7.9939434 | 7.9928231 | 0.37131 |

| 10 | 9309 | 8190 | 29 |

| 20 | 9185 | 8148 | 28 |

| 30 | 9060 | 8107 | 26 |

| 40 | 8936 | 8065 | 24 |

| 50 | 8812 | 8024 | 23 |

|53 0 | 8688 | 7982 | 22 |

+------+------------------+--------------+--------------------+

The logarithm in the last column is that required also for the

calculation of spherical excesses, the spherical excess of a triangle

being expressed by a b sin (C/2[rho]n) sin 1".

It is frequently necessary to obtain the co-ordinates of one point

with reference to another point; that is, let a perpendicular arc be

drawn from B to the meridian of A meeting it in P, then, [alpha] being

the azimuth of B at A, the co-ordinates of B with reference to A are

AP = s cos ([alpha] - 2/3[epsilon]), BP = s sin ([alpha] -

1/3[epsilon]),

where [epsilon] is the spherical excess of APB, viz. s^2 sin [alpha]

cos [alpha] multiplied by the quantity whose logarithm is in the

fourth column of the above table.

If it be necessary to determine the geographical latitude and

longitude as well as the azimuths to a greater degree of accuracy than

is given by the above formulae, we make use of the following formula:

given the latitude [phi] of A, and the azimuth [alpha] and the

distance s of B, to determine the latitude [phi]' and longitude

[omega] of B, and the back azimuth [alpha]'. Here it is understood

that [alpha]' is symmetrical to [alpha], so that [alpha]^* + [alpha]'

= 360 deg.

Let

[theta] = s [Delta] / a, where [Delta] = (1 - e^2 sin^2 [phi])^1/2

and

e^2 [theta]^2

[xi] = ------------- cos^2 [phi] sin 2[alpha],

(4 (1 - e^2)

e^2 [theta]^3

[xi]' = ------------- cos^2 [phi] cos^2 [alpha];

(6 (1 - e^2)

[xi], [xi]' are always very minute quantities even for the longest

distances; then, putting [kappa] = 90 deg. - [phi],

[alpha]' + [xi] - [omega] sin 1/2([kappa] - [theta] - [xi]') [alpha]

tan------------------------- = ---------------------------------- cot -------

2 sin 1/2([kappa] + [theta] + [xi]') 2

[alpha]' + [xi] + [omega] cos 1/2([kappa] - [theta] - [xi]') [alpha]

tan------------------------- = ---------------------------------- cot -------

2 cos 1/2([kappa] + [theta] + [xi]') 2

s sin 1/2([alpha]' + [xi] - [alpha]) / [theta]^2 [alpha]' - [alpha]\

[phi]' - [phi] = ----------------------------------------- ( 1 + ---------cos^2 ------------------ );

[rho]0 sin 1/2([alpha]' + [xi] + [alpha]) \ 12 2 /

here [rho]0 is the radius of curvature of the meridian for the mean

latitude 1/2([phi] + [phi]'). These formulae are approximate only, but

they are sufficiently precise even for very long distances.

For lines of any length the formulae of F.W. Bessel (_Astr. Nach._,

1823, iv. 241) are suitable.

If the two points A and B be defined by their geographical

co-ordinates, we can accurately calculate the corresponding

astronomical azimuths, i.e. those of the vertical section, and then

proceed, in the case of not too great distances, to determine the

length and the azimuth of the shortest lines. For _any_ distances

recourse must again be made to Bessel's formula.[4]

Let [alpha], [alpha]' be the mutual azimuths of two points A, B on a

spheroid, k the chord line joining them, [mu], [mu]' the angles made

by the chord with the normals at A and B, [phi], [phi]', [omega] their

latitudes and difference of longitude, and (x^2 + y^2)/a^2 + z^2 b^2 =

1 the equation of the surface; then if the plane xz passes through A

the co-ordinates of A and B will be

x = (a/[Delta]) cos [phi], x' = (a/[Delta]') cos [phi]' cos [omega],

y = 0 y' = (a/[Delta]') cos [phi]' sin [omega],

z = (a/[Delta]) (1 - e^2) sin [phi], z' = (a/[Delta]') (1 - e^2) sin [phi]',

where [Delta] = (1 - e^2 sin^2 [phi])^1/2, [Delta]' = (1 - e^2 sin^2

[phi]')^1/2, and e is the eccentricity. Let f, g, h be the direction

cosines of the normal to that plane which contains the normal at A and

the point B, and whose inclinations to the meridian plane of A is =

[alpha]; let also l, m, n and l', m', n' be the direction cosines of

the normal at A, and of the tangent to the surface at A which lies in

the plane passing through B, then since the first line is

perpendicular to each of the other two and to the chord k, whose

direction cosines are proportional to x' - x, y' - y, z' - z, we have

these three equations

f(x' - x) + gy' + h(z' - z) = 0

fl + gm + hn = 0

fl' + gm' + hn' = 0.

Eliminate f, g, h from these equations, and substitute

l = cos [phi] l' = - sin [phi] cos [alpha]

m = 0 m' = sin [alpha]

n = sin [phi] n' = cos [phi] cos [alpha],

and we get

(x' - x) sin [phi] + y' cot [alpha] - (z' - z) cos [phi] = 0.

The substitution of the values of x, z, x', y', z' in this equation

will give immediately the value of cot [alpha]; and if we put [zeta],

[zeta]' for the corresponding azimuths on a sphere, or on the

supposition e = 0, the following relations exist

cos [phi] Q

cot [alpha] - cot [zeta] = e^2 ------------------

cos [phi]' [Delta]

cos [phi]' Q

cot [alpha]' - cot [zeta]' = e^2 ------------------

cos [phi] [Delta]'

[Delta]' sin [phi] - [Delta] sin [phi]' = Q sin [omega].

If from B we let fall a perpendicular on the meridian plane of A, and

from A let fall a perpendicular on the meridian plane of B, then the

following equations become geometrically evident:

k sin [mu] sin [alpha] = (a/[Delta]') cos [phi]' sin [omega]

k sin [mu]' sin [alpha]' = (a/[Delta]) cos [phi] sin [omega].

Now in any surface u = 0 we have

k^2 = (x' - x)^2 + (y' - y)^2 + (z' - z)^2

_ _

| du du du | / / du^2 du^2 du^2 \ 1/2

-cos [mu] = |(x' - x) -- + (y' - y) -- + (z' - z) -- | / k ( ---- + ---- + ---- )

|_ dx dy dz_|/ \ dx^2 dy^2 dz^2 /

_ _

| du du du | / / du^2 du^2 du^2 \ 1/2

-cos [mu]' = |(x' - x) --- + (y' - y) --- + (z' - z) --- | / k ( ----- + ----- + ----- ).

|_ dx' dy' dz'_|/ \ dx'^2 dy'^2 dz'^2 /

In the present case, if we put

xx' zz'

1 - --- - --- = U,

a^2 b^2

then

k^2 /z' - z \ ^2

--- = 2U - e^2 ( ------ )

a^2 \ b /

cos [mu] = (a/k) [Delta]U; cos [mu]' = (a/k) [Delta]'U.

Let u be such an angle that

(1 - e^2)^1/2 sin [phi] = [Delta] sin u

cos [phi] = [Delta] cos u,

then on expressing x, x', z, z' in terms of u and u',

U = 1 - cos u cos u' cos [omega] - sin u sin u';

also, if v be the third side of a spherical triangle, of which two

sides are 1/2[pi] - u and 1/2[pi] - u' and the included angle [omega],

using a subsidiary angle [psi] such that

sin [psi] sin 1/2v = e sin 1/2(u' - u) cos 1/2(u' + u),

we obtain finally the following equations:--

k = 2a cos [psi] sin 1/2v

cos [mu] = [Delta] sec [psi] sin 1/2v

cos [mu]' = [Delta]' sec [psi] sin 1/2v

sin [mu] sin [alpha] = (a/k) cos u' sin [omega]

sin [mu]' sin [alpha]' = (a/k) cos u sin [omega].

These determine rigorously the distance, and the mutual zenith

distances and azimuths, of any two points on a spheroid whose

latitudes and difference of longitude are given.

By a series of reductions from the equations containing [zeta],

[zeta]' it may be shown that

[alpha] + [alpha]' = [zeta] + [zeta]' + 1/4e^4[omega]([phi]' - [phi])^2

cos^4 [phi]0 sin [phi]0 + ...,

where [phi]0 is the mean of [phi] and [phi]', and the higher powers of

e are neglected. A short computation will show that the small quantity

on the right-hand side of this equation cannot amount even to the

thousandth part of a second for k < 0.1a, which is, practically

speaking, zero; consequently the sum of the azimuths [alpha] +

[alpha]' on the spheroid is equal to the sum of the spherical

azimuths, whence follows this very important theorem (known as Dalby's

theorem). If [phi], [phi]' be the latitudes of two points on the

surface of a spheroid, [omega] their difference of longitude, [alpha],

[alpha]' their reciprocal azimuths,

tan 1/2[omega] = cot 1/2([alpha] + [alpha]') {cos 1/2([phi]' - [phi])/

sin 1/2([phi]' + [phi])}.

The computation of the geodetic from the astronomical azimuths has

been given above. From k we can now compute the length s of the

vertical section, and from this the shortest length. The difference of

length of the geodetic line and either of the plane curves is

e^4 s^5 cos^4 [phi]0 sin^2 2[alpha]0/360 a^4.

At least this is an approximate expression. Supposing s = 0.1a, this

quantity would be less than one-hundredth of a millimetre. The line s

is now to be calculated as a circular arc with a mean radius r along

AB. If [phi]0 = 1/2([phi] + [phi]'), [alpha]0 = 1/2(180 deg. + [alpha]

- [alpha]'), [Delta]0 = (1 - e^2 sin^2 [phi]0)^1/2, then 1/r =

[Delta]0/a [1 + e^2/(1 - e^2) (cos^2 [phi]0 cos^2 [alpha]0)], and

approximately sin (s/2r) = k/2r. These formulae give, in the case of k

= 0.1a, values certain to eight logarithmic decimal places. An

excellent series of formulae for the solution of the problem, to

determine the azimuths, chord and distance along the surface from the

geographical co-ordinates, was given in 1882 by Ch. M. Schols

(_Archives Neerlandaises_, vol. xvii.).

_Irregularities of the Earth's Surface._

In considering the effect of unequal distribution of matter in the

earth's crust on the form of the surface, we may simplify the matter

by disregarding the considerations of rotation and eccentricity. In

the first place, supposing the earth a sphere covered with a film of

water, let the density [rho] be a function of the distance from the

centre so that surfaces of equal density are concentric spheres. Let

now a disturbance of the arrangement of matter take place, so that the

density is no longer to be expressed by [rho], a function of r only,

but is expressed by [rho] + [rho]', where [rho]' is a function of

three co-ordinates [theta], [phi], r. Then [rho]' is the density of

what may be designated disturbing matter; it is positive in some

places and negative in others, and the whole quantity of matter whose

density is [rho]' is zero. The previously spherical surface of the sea

of radius a now takes a new form. Let P be a point on the disturbed

surface, P' the corresponding point vertically below it on the

undisturbed surface, PP' = N. The knowledge of N over the whole

surface gives us the form of the disturbed or actual surface of the

sea; it is an equipotential surface, and if V be the potential at P of

the disturbing matter [rho]', M the mass of the earth (the

attraction-constant is assumed equal to unity)

M M M

----- + V = C = -- - --- N + V.

a + N a a^2

As far as we know, N is always a very small quantity, and we have with

sufficient approximation N = 3V/4[pi][delta]a, where [delta] is the

mean density of the earth. Thus we have the disturbance in elevation

of the sea-level expressed in terms of the potential of the disturbing

matter. If at any point P the value of N remain constant when we pass

to any adjacent point, then the actual surface is there parallel to

the ideal spherical surface; as a rule, however, the normal at P is

inclined to that at P', and astronomical observations have shown that

this inclination, the deflection or deviation, amounting ordinarily to

one or two seconds, may in some cases exceed 10", or, as at the foot

of the Himalayas, even 60". By the expression "mathematical figure of

the earth" we mean the surface of the sea produced in imagination so

as to percolate the continents. We see then that the effect of the

uneven distribution of matter in the crust of the earth is to produce

small elevations and depressions on the mathematical surface which

would be otherwise spheroidal. No geodesist can proceed far in his

work without encountering the irregularities of the mathematical

surface, and it is necessary that he should know how they affect his

astronomical observations. The whole of this subject is dealt with in

his usual elegant manner by Bessel in the _Astronomische Nachrichten_,

Nos. 329, 330, 331, in a paper entitled "Ueber den Einfluss der

Unregelmassigkeiten der Figur der Erde auf geodatische Arbeiten, &c."

But without entering into further details it is not difficult to see

how local attraction at any station affects the determinations of

latitude, longitude and azimuth there.

Let there be at the station an attraction to the north-east throwing

the zenith to the south-west, so that it takes in the celestial sphere

a position Z', its undisturbed position being Z. Let the rectangular

components of the displacement ZZ' be [xi] measured southwards and

[eta] measured westwards. Now the great circle joining Z' with the

pole of the heavens P makes there an angle with the meridian PZ =

[eta] cosec PZ' = [eta] sec [phi], where [phi] is the latitude of the

station. Also this great circle meets the horizon in a point whose

distance from the great circle PZ is [eta] sec [phi] sin [phi] = [eta]

tan [phi]. That is, a meridian mark, fixed by observations of the pole

star, will be placed that amount to the east of north. Hence the

observed latitude requires the correction [xi]; the observed longitude

a correction [eta] sec [phi]; and any observed azimuth a correction

[eta] tan [phi]. Here it is supposed that azimuths are measured from

north by east, and longitudes eastwards. The horizontal angles are

also influenced by the deflections of the plumb-line, in fact, just as

if the direction of the vertical axis of the theodolite varied by the

same amount. This influence, however, is slight, so long as the sights

point almost horizontally at the objects, which is always the case in

the observation of distant points.

The expression given for N enables one to form an approximate estimate

of the effect of a compact mountain in raising the sea-level. Take,

for instance, Ben Nevis, which contains about a couple of cubic miles;

a simple calculation shows that the elevation produced would only

amount to about 3 in. In the case of a mountain mass like the

Himalayas, stretching over some 1500 miles of country with a breadth

of 300 and an average height of 3 miles, although it is difficult or

impossible to find an expression for V, yet we may ascertain that an

elevation amounting to several hundred feet may exist near their base.

The geodetical operations, however, rather negative this idea, for it

was shown by Colonel Clarke (_Phil. Mag._, 1878) that the form of the

sea-level along the Indian arc departs but slightly from that of the

mean figure of the earth. If this be so, the action of the Himalayas

must be counteracted by subterranean tenuity.

Suppose now that A, B, C, ... are the stations of a network of

triangulation projected on or lying on a spheroid of semiaxis major

and eccentricity a, e, this spheroid having its axis parallel to the

axis of rotation of the earth, and its surface coinciding with the

mathematical surface of the earth at A. Then basing the calculations

on the observed elements at A, the calculated latitudes, longitudes

and directions of the meridian at the other points will be the true

latitudes, &c., of the points as projected on the spheroid. On

comparing these geodetic elements with the corresponding astronomical

determinations, there will appear a system of differences which

represent the inclinations, at the various points, of the actual

irregular surface to the surface of the spheroid of reference. These

differences will suggest two things,--first, that we may improve the

agreement of the two surfaces, by not restricting the spheroid of

reference by the condition of making its surface coincide with the

mathematical surface of the earth at A; and secondly, by altering the

form and dimensions of the spheroid. With respect to the first

circumstance, we may allow the spheroid two degrees of freedom, that

is, the normals of the surfaces at A may be allowed to separate a

small quantity, compounded of a meridional difference and a difference

perpendicular to the same. Let the spheroid be so placed that its

normal at A lies to the north of the normal to the earth's surface by

the small quantity [xi] and to the east by the quantity [eta]. Then in

starting the calculation of geodetic latitudes, longitudes and

azimuths from A, we must take, not the observed elements [phi],

[alpha], but for [phi], [phi] + [xi], and for [alpha], [alpha] + [eta]

tan [phi], and zero longitude must be replaced by [eta] sec [phi]. At

the same time suppose the elements of the spheroid to be altered from

a, e to a + da, e + de. Confining our attention at first to the two

points A, B, let ([phi]'), ([alpha]'), ([omega]) be the numerical

elements at B as obtained in the first calculation, viz. before the

shifting and alteration of the spheroid; they will now take the form

([phi]') + f[xi] + g[eta] + hda + kde,

([alpha]') + f'[xi] + g'[eta] + h'da + k'de,

[omega] + f"[xi] + g"[eta] + h"da + k"de,

where the coefficients f, g, ... &c. can be numerically calculated.

Now these elements, corresponding to the projection of B on the

spheroid of reference, must be equal severally to the astronomically

determined elements at B, corrected for the inclination of the

surfaces there. If [xi]', [eta]' be the components of the inclination

at that point, then we have

[xi]' = ([phi]') - [phi]' + f[xi] + g[eta] + hda + kde,

[eta]' tan [phi]' = ([alpha]') - [alpha]' + f'[xi] + g'[eta] + h'da + k'de,

[eta]' sec [phi]' = ([omega]) - [omega] + f"[xi] + g"[eta] + h"da + k"de,

where [phi]', [alpha]', [omega] are the observed elements at B. Here

it appears that the observation of longitude gives no additional

information, but is available as a check upon the azimuthal

observations.

If now there be a number of astronomical stations in the

triangulation, and we form equations such as the above for each point,

then we can from them determine those values of [xi], [eta], da, de,

which make the quantity [xi]^2 + [eta]^2 + [xi]'^2 + [eta]'^2 + ... a

minimum. Thus we obtain that spheroid which best represents the

surface covered by the triangulation.

In the _Account of the Principal Triangulation of Great Britain and

Ireland_ will be found the determination, from 75 equations, of the

spheroid best representing the surface of the British Isles. Its

elements are a = 20927005 [+-] 295 ft., b : a - b = 280 [+-] 8; and it

is so placed that at Greenwich Observatory [xi] = 1".864, [eta] =

-0".546.

Taking Durham Observatory as the origin, and the tangent plane to the

surface (determined by [xi] = -0".664, [eta] = -4".117) as the plane

of x and y, the former measured northwards, and z measured vertically

downwards, the equation to the surface is

.99524953 x^2 + .99288005 y^2 + .99763052 z^2 - 0.00671003xz - 41655070z = 0.

_Altitudes._

The precise determination of the altitude of his station is a matter

of secondary importance to the geodesist; nevertheless it is usual to

observe the zenith distances of all trigonometrical points. Of great

importance is a knowledge of the height of the base for its reduction

to the sea-level. Again the height of a station does influence a

little the observation of terrestrial angles, for a vertical line at B

does not lie generally in the vertical plane of A (see above). The

height above the sea-level also influences the geographical latitude,

inasmuch as the centrifugal force is increased and the magnitude and

direction of the attraction of the earth are altered, and the effect

upon the latitude is a very small term expressed by the formula h (g'-

g) sin 2 [phi] / ag, where g, g' are the values of gravity at the

equator and at the pole. This is h sin 2 [phi] / 5820 seconds, h being

in metres, a quantity which may be neglected, since for ordinary

mountain heights it amounts to only a few hundredths of a second. We

can assume this amount as joined with the northern component of the

plumb-line perturbations.

The uncertainties of terrestrial refraction render it impossible to

determine accurately by vertical angles the heights of distant points.

Generally speaking, refraction is greatest at about daybreak; from

that time it diminishes, being at a minimum for a couple of hours

before and after mid-day; later in the afternoon it again increases.

This at least is the general march of the phenomenon, but it is by no

means regular. The vertical angles measured at the station on Hart

Fell showed on one occasion in the month of September a refraction of

double the average amount, lasting from 1 P.M. to 5 P.M. The mean

value of the coefficient of refraction k determined from a very large

number of observations of terrestrial zenith distances in Great

Britain is .0792 [+-] .0047; and if we separate those rays which for a

considerable portion of their length cross the sea from those which do

not, the former give k = .0813 and the latter k = .0753. These values

are determined from high stations and long distances; when the

distance is short, and the rays graze the ground, the amount of

refraction is extremely uncertain and variable. A case is noted in the

Indian survey where the zenith distance of a station 10.5 miles off

varied from a depression of 4' 52".6 at 4.30 P.M. to an elevation of

2' 24".0 at 10.50 P.M.

If h, h' be the heights above the level of the sea of two stations, 90

deg. + [delta], 90 deg. + [delta]' their mutual zenith distances

([delta] being that observed at h), s their distance apart, the earth

being regarded as a sphere of radius = a, then, with sufficient

precision,

/ 1 - 2k \ / 1 - 2k \

h' - h = s tan ( s -------- - [delta] ), h - h' = s tan ( -------- - [delta]' ).

\ 2a / \ 2a /

If from a station whose height is h the horizon of the sea be observed

to have a zenith distance 90 deg. + [delta], then the above formula

gives for h the value

a tan^2 [delta]

h = -- -------------.

2 1 - 2k

Suppose the depression [delta] to be n minutes, then h = 1.054n^2 if

the ray be for the greater part of its length crossing the sea; if

otherwise, h = 1.040n^2. To take an example: the mean of eight

observations of the zenith distance of the sea horizon at the top of

Ben Nevis is 91 deg. 4' 48", or [delta] = 64.8; the ray is pretty

equally disposed over land and water, and hence h = 1.047n^2 = 4396

ft. The actual height of the hill by spirit-levelling is 4406 ft., so

that the error of the height thus obtained is only 10 ft.

The determination of altitudes by means of spirit-levelling is

undoubtedly the most exact method, particularly in its present

development as precise-levelling, by which there have been determined

in all civilized countries close-meshed nets of elevated points

covering the entire land. (A. R. C; F. R. H.)

FOOTNOTES:

[1] An arrangement acting similarly had been previously introduced by

Borda.

[2] _Geodetic Survey of South Africa_, vol. iii. (1905), p. viii;

_Les Nouveaux Appareils pour la mesure rapide des bases geod._, par

J. Rene Benoit et Ch. Ed. Guillaume (1906).

[3] See a paper "On the Course of Geodetic Lines on the Earth's

Surface" in the _Phil. Mag._ 1870; Helmert, _Theorien der hoheren

Geodasie_, 1. 321.

[4] Helmert, Theorien der hoheren Geodasie, 1. 232, 247.

GEOFFREY, surnamed MARTEL (1006-1060), count of Anjou, son of the count

Fulk Nerra (q.v.) and of the countess Hildegarde or Audegarde, was born

on the 14th of October 1006. During his father's lifetime he was

recognized as suzerain by Fulk l'Oison ("the Gosling"), count of

Vendome, the son of his half-sister Adela. Fulk having revolted, he

confiscated the countship, which he did not restore till 1050. On the

1st of January 1032 he married Agnes, widow of William the Great, duke

of Aquitaine, and taking arms against William the Fat, eldest son and

successor of William the Great, defeated him and took him prisoner at

Mont-Couer near Saint-Jouin-de-Marnes on the 20th of September 1033. He

then tried to win recognition as dukes of Aquitaine for the sons of his

wife Agnes by William the Great, who were still minors, but Fulk Nerra

promptly took up arms to defend his suzerain William the Fat, from whom

he held the Loudunois and Saintonge in fief against his son. In 1036

Geoffrey Martel had to liberate William the Fat, on payment of a heavy

ransom, but the latter having died in 1038, and the second son of

William the Great, Odo, duke of Gascony, having fallen in his turn at

the siege of Mauze (10th of March 1039) Geoffrey made peace with his

father in the autumn of 1039, and had his wife's two sons recognized as

dukes. About this time, also, he had interfered in the affairs of Maine,

though without much result, for having sided against Gervais, bishop of

Le Mans, who was trying to make himself guardian of the young count of

Maine, Hugh, he had been beaten and forced to make terms with Gervais in

1038. In 1040 he succeeded his father in Anjou and was able to conquer

Touraine (1044) and assert his authority over Maine (see ANJOU). About

1050 he repudiated Agnes, his first wife, and married Grecie, the widow

of Bellay, lord of Montreuil-Bellay (before August 1052), whom he

subsequently left in order to marry Adela, daughter of a certain Count

Odo. Later he returned to Grecie, but again left her to marry Adelaide

the German. When, however, he died on the 14th of November 1060, at the

monastery of St Nicholas at Angers, he left no children, and transmitted

the countship to Geoffrey the Bearded, the eldest of his nephews (see

ANJOU).

See Louis Halphen, _Le Comte d'Anjou au XI^e siecle_ (Paris, 1906). A

summary biography is given by Celestin Port, _Dictionnaire historique,

geographique et biographique de Maine-et-Loire_ (3 vols.,

Paris-Angers, 1874-1878), vol. ii. pp. 252-253, and a sketch of the

wars by Kate Norgate, _England under the Angevin Kings_ (2 vols.,

London, 1887), vol. i. chs. iii. iv. (L. H.*)

GEOFFREY, surnamed PLANTAGENET [or PLANTEGENET] (1113-1151), count of

Anjou, was the son of Count Fulk the Young and of Eremburge (or

Arembourg of La Fleche); he was born on the 24th of August 1113. He is

also called "le bel" or "the handsome," and received the surname of

Plantagenet from the habit which he is said to have had of wearing in

his cap a sprig of broom (_genet_). In 1127 he was made a knight, and on

the 2nd of June 1129 married Matilda, daughter of Henry I. of England,

and widow of the emperor Henry V. Some months afterwards he succeeded to

his father, who gave up the countship when he definitively went to the

kingdom of Jerusalem. The years of his government were spent in subduing

the Angevin barons and in conquering Normandy (see ANJOU). In 1151,

while returning from the siege of Montreuil-Bellay, he took cold, in

consequence of bathing in the Loir at Chateau-du-Loir, and died on the

7th of September. He was buried in the cathedral of Le Mans. By his wife

Matilda he had three sons: Henry Plantagenet, born at Le Mans on Sunday,

the 5th of March 1133; Geoffrey, born at Argentan on the 1st of June

1134; and William Long-Sword, born on the 22nd of July 1136.

See Kate Norgate, _England under the Angevin Kings_ (2 vols., London,

1887), vol. i. chs. v.-viii.; Celestin Port, _Dictionnaire historique,

geographique et biographique de Maine-et-Loire_ (3 vols.,

Paris-Angers, 1874-1878), vol. ii. pp. 254-256. A history of Geoffrey

le Bel has yet to be written; there is a biography of him written in

the 12th century by Jean, a monk of Marmoutier, _Historia Gaufredi,

ducis Normannorum et comitis Andegavorum_, published by Marchegay et

Salmon; "Chroniques des comtes d'Anjou" (_Societe de l'histoire de

France_, Paris, 1856), pp. 229-310. (L. H.*)

GEOFFREY (1158-1186), duke of Brittany, fourth son of the English king

Henry II. and his wife Eleanor of Aquitaine, was born on the 23rd of

September 1158. In 1167 Henry suggested a marriage between Geoffrey and

Constance (d. 1201), daughter and heiress of Conan IV., duke of Brittany

(d. 1171); and Conan not only assented, perhaps under compulsion, to

this proposal, but surrendered the greater part of his unruly duchy to

the English king. Having received the homage of the Breton nobles,

Geoffrey joined his brothers, Henry and Richard, who, in alliance with

Louis VII. of France, were in revolt against their father; but he made

his peace in 1174, afterwards helping to restore order in Brittany and

Normandy, and aiding the new French king, Philip Augustus, to crush some

rebellious vassals. In July 1181 his marriage with Constance was

celebrated, and practically the whole of his subsequent life was spent

in warfare with his brother Richard. In 1183 he made peace with his

father, who had come to Richard's assistance; but a fresh struggle soon

broke out for the possession of Anjou, and Geoffrey was in Paris

treating for aid with Philip Augustus, when he died on the 19th of

August 1186. He left a daughter, Eleanor, and his wife bore a

posthumous son, the unfortunate Arthur.

GEOFFREY (c. 1152-1212), archbishop of York, was a bastard son of Henry

II., king of England. He was distinguished from his legitimate

half-brothers by his consistent attachment and fidelity to his father.

He was made bishop of Lincoln at the age of twenty-one (1173); but

though he enjoyed the temporalities he was never consecrated and

resigned the see in 1183. He then became his father's chancellor,

holding a large number of lucrative benefices in plurality. Richard

nominated him archbishop of York in 1189, but he was not consecrated

till 1191, or enthroned till 1194. Geoffrey, though of high character,

was a man of uneven temper; his history in chiefly one of quarrels, with

the see of Canterbury, with the chancellor William Longchamp, with his

half-brothers Richard and John, and especially with his canons at York.

This last dispute kept him in litigation before Richard and the pope for

many years. He led the clergy in their refusal to be taxed by John and

was forced to fly the kingdom in 1207. He died in Normandy on the 12th

of December 1212.

See Giraldus Cambrensis, _Vita Galfridi_; Stubbs's prefaces to _Roger

de Hoveden_, vols. iii. and iv. (Rolls Series). (H. W. C. D.)

GEOFFREY DE MONTBRAY (d. 1093), bishop of Coutances (_Constantiensis_),

a right-hand man of William the Conqueror, was a type of the great

feudal prelate, warrior and administrator at need. He knew, says

Orderic, more about marshalling mailed knights than edifying

psalm-singing clerks. Obtaining, as a young man, in 1048, the see of

Coutances, by his brother's influence (see MOWBRAY), he raised from his

fellow nobles and from their Sicilian spoils funds for completing his

cathedral, which was consecrated in 1056. With bishop Odo, a warrior

like himself, he was on the battle-field of Hastings, exhorting the

Normans to victory; and at William's coronation it was he who called on

them to acclaim their duke as king. His reward in England was a mighty

fief scattered over twelve counties. He accompanied William on his visit

to Normandy (1067), but, returning, led a royal force to the relief of

Montacute in September 1069. In 1075 he again took the field, leading

with Bishop Odo a vast host against the rebel earl of Norfolk, whose

stronghold at Norwich they besieged and captured.

Meanwhile the Conqueror had invested him with important judicial

functions. In 1072 he had presided over the great Kentish suit between

the primate and Bishop Odo, and about the same time over those between

the abbot of Ely and his despoilers, and between the bishop of Worcester

and the abbot of Ely, and there is some reason to think that he acted as

a Domesday commissioner (1086), and was placed about the same time in

charge of Northumberland. The bishop, who attended the Conqueror's

funeral, joined in the great rising against William Rufus next year

(1088), making Bristol, with which (as Domesday shows) he was closely

connected and where he had built a strong castle, his base of

operations. He burned Bath and ravaged Somerset, but had submitted to

the king before the end of the year. He appears to have been at Dover

with William in January 1090, but, withdrawing to Normandy, died at

Coutances three years later. In his fidelity to Duke Robert he seems to

have there held out for him against his brother Henry, when the latter

obtained the Cotentin.

See E.A. Freeman, _Norman Conquest_ and _William Rufus_; J.H. Round,

_Feudal England_; and, for original authorities, the works of Orderic

Vitalis and William of Poitiers, and of Florence of Worcester; the

Anglo-Saxon Chronicle; William of Malmesbury's _Gesta pontificum_, and

Lanfranc's works, ed. Giles; Domesday Book. (J. H. R.)

GEOFFREY OF MONMOUTH (d. 1154), bishop of St Asaph and writer on early

British history, was born about the year 1100. Of his early life little

is known, except that he received a liberal education under the eye of

his paternal uncle, Uchtryd, who was at that time archdeacon, and

subsequently bishop, of Llandaff. In 1129 Geoffrey appears at Oxford

among the witnesses of an Oseney charter. He subscribes himself Geoffrey

Arturus; from this we may perhaps infer that he had already begun his

experiments in the manufacture of Celtic mythology. A first edition of

his _Historia Britonum_ was in circulation by the year 1139, although

the text which we possess appears to date from 1147. This famous work,

which the author has the audacity to place on the same level with the

histories of William of Malmesbury and Henry of Huntingdon, professes to

be a translation from a Celtic source; "a very old book in the British

tongue" which Walter, archdeacon of Oxford, had brought from Brittany.

Walter the archdeacon is a historical personage; whether his book has

any real existence may be fairly questioned. There is nothing in the

matter or the style of the _Historia_ to preclude us from supposing that

Geoffrey drew partly upon confused traditions, partly on his own powers

of invention, and to a very slight degree upon the accepted authorities

for early British history. His chronology is fantastic and incredible;

William of Newburgh justly remarks that, if we accepted the events which

Geoffrey relates, we should have to suppose that they had happened in

another world. William of Newburgh wrote, however, in the reign of

Richard I. when the reputation of Geoffrey's work was too well

established to be shaken by such criticisms. The fearless romancer had

achieved an immediate success. He was patronized by Robert, earl of

Gloucester, and by two bishops of Lincoln; he obtained, about 1140, the

archdeaconry of Llandaff "on account of his learning"; and in 1151 was

promoted to the see of St Asaph.

Before his death the _Historia Britonum_ had already become a model and

a quarry for poets and chroniclers. The list of imitators begins with

Geoffrey Gaimar, the author of the _Estorie des Engles_ (c. 1147), and

Wace, whose _Roman de Brut_ (1155) is partly a translation and partly a

free paraphrase of the _Historia_. In the next century the influence of

Geoffrey is unmistakably attested by the _Brut_ of Layamon, and the

rhyming English chronicle of Robert of Gloucester. Among later

historians who were deceived by the _Historia Britonum_ it is only

needful to mention Higdon, Hardyng, Fabyan (1512), Holinshed (1580) and

John Milton. Still greater was the influence of Geoffrey upon those

writers who, like Warner in _Albion's England_ (1586), and Drayton in

_Polyolbion_ (1613), deliberately made their accounts of English history

as poetical as possible. The stories which Geoffrey preserved or

invented were not infrequently a source of inspiration to literary

artists. The earliest English tragedy, _Gorboduc_ (1565), the _Mirror

for Magistrates_ (1587), and Shakespeare's Lear, are instances in point.

It was, however, the Arthurian legend which of all his fabrications

attained the greatest vogue. In the work of expanding and elaborating

this theme the successors of Geoffrey went as far beyond him as he had

gone beyond Nennius; but he retains the credit due to the founder of a

great school. Marie de France, who wrote at the court of Henry II., and

Chretien de Troyes, her French contemporary, were the earliest of the

avowed romancers to take up the theme. The succeeding age saw the

Arthurian story popularized, through translations of the French

romances, as far afield as Germany and Scandinavia. It produced in

England the _Roman du Saint Graal_ and the _Roman de Merlin_, both from

the pen of Robert de Borron; the _Roman de Lancelot_; the _Roman de

Tristan_, which is attributed to a fictitious Lucas de Gast. In the

reign of Edward IV. Sir Thomas Malory paraphrased and arranged the best

episodes of these romances in English prose. His _Morte d'Arthur_,

printed by Caxton in 1485, epitomizes the rich mythology which

Geoffrey's work had first called into life, and gave the Arthurian story

a lasting place in the English imagination. The influence of the

_Historia Britonum_ may be illustrated in another way, by enumerating

the more familiar of the legends to which it first gave popularity. Of

the twelve books into which it is divided only three (Bks. IX., X., XI.)

are concerned with Arthur. Earlier in the work, however, we have the

adventures of Brutus; of his follower Corineus, the vanquisher of the

Cornish giant Goemagol (Gogmagog); of Locrinus and his daughter Sabre

(immortalized in Milton's _Comus_); of Bladud the builder of Bath; of

Lear and his daughters; of the three pairs of brothers, Ferrex and

Porrex, Brennius and Belinus, Elidure and Peridure. The story of

Vortigern and Rowena takes its final form in the _Historia Britonum_;

and Merlin makes his first appearance in the prelude to the Arthur

legend. Besides the _Historia Britonum_ Geoffrey is also credited with

a _Life of Merlin_ composed in Latin verse. The authorship of this work

has, however, been disputed, on the ground that the style is distinctly

superior to that of the _Historia_. A minor composition, the _Prophecies

of Merlin_, was written before 1136, and afterwards incorporated with

the _Historia_, of which it forms the seventh book.

For a discussion of the manuscripts of Geoffrey's work, see Sir T.D.

Hardy's _Descriptive Catalogue_ (Rolls Series), i. pp. 341 ff. The

_Historia Britonum_ has been critically edited by San Marte (Halle,

1854). There is an English translation by J.A. Giles (London, 1842).

The _Vita Merlini_ has been edited by F. Michel and T. Wright (Paris,

1837). See also the _Dublin Univ. Magazine_ for April 1876, for an

article by T. Gilray on the literary influence of Geoffrey; G.

Heeger's _Trojanersage der Britten_ (1889); and La Borderie's _Etudes

historiques bretonnes_ (1883). (H. W. C. D.)

GEOFFREY OF PARIS (d. c. 1320), French chronicler, was probably the

author of the _Chronique metrique de Philippe le Bel, or Chronique rimee

de Geoffroi de Paris_. This work, which deals with the history of France

from 1300 to 1316, contains 7918 verses, and is valuable as that of a

writer who had a personal knowledge of many of the events which he

relates. Various short historical poems have also been attributed to

Geoffrey, but there is no certain information about either his life or

his writings.

The _Chronique_ was published by J.A. Buchon in his _Collection des

chroniques_, tome ix. (Paris, 1827), and it has also been printed in

tome xxii. of the _Recueil des historiens des Gaules et de la France_

(Paris, 1865). See G. Paris, _Histoire de la litterature francaise au

moyen age_ (Paris, 1890); and A. Molinier, _Les Sources de l'histoire

de France_, tome iii. (Paris, 1903).

GEOFFREY THE BAKER (d. c. 1360), English chronicler, is also called

Walter of Swinbroke, and was probably a secular clerk at Swinbrook in

Oxfordshire. He wrote a _Chronicon Angliae temporibus Edwardi II. et

Edwardi III._, which deals with the history of England from 1303 to

1356. From the beginning until about 1324 this work is based upon Adam

Murimuth's _Continuatio chronicarum_, but after this date it is valuable

and interesting, containing information not found elsewhere, and closing

with a good account of the battle of Poitiers. The author obtained his

knowledge about the last days of Edward II. from William Bisschop, a

companion of the king's murderers, Thomas Gurney and John Maltravers.

Geoffrey also wrote a _Chroniculum_ from the creation of the world until

1336, the value of which is very slight. His writings have been edited

with notes by Sir E.M. Thompson as the _Chronicon Galfridi le Baker de

Swynebroke_ (Oxford, 1889). Some doubt exists concerning Geoffrey's

share in the compilation of the _Vita et mors Edwardi II._, usually

attributed to Sir Thomas de la More, or Moor, and printed by Camden in

his _Anglica scripta_. It has been maintained by Camden and others that

More wrote an account of Edward's reign in French, and that this was

translated into Latin by Geoffrey and used by him in compiling his

_Chronicon_. Recent scholarship, however, asserts that More was no

writer, and that the _Vita et mors_ is an extract from Geoffrey's

_Chronicon_, and was attributed to More, who was the author's patron. In

the main this conclusion substantiates the verdict of Stubbs, who has

published the _Vita et mors_ in his _Chronicles of the reigns of Edward

I. and Edward II._ (London, 1883). The manuscripts of Geoffrey's works

are in the Bodleian library at Oxford.

GEOFFRIN, MARIE THERESE RODET (1699-1777), a Frenchwoman who played an

interesting part in French literary and artistic life, was born in Paris

in 1699. She married, on the 19th of July 1713, Pierre Francois

Geoffrin, a rich manufacturer and lieutenant-colonel of the National

Guard, who died in 1750. It was not till Mme Geoffrin was nearly fifty

years of age that we begin to hear of her as a power in Parisian

society. She had learned much from Mme de Tencin, and about 1748 began

to gather round her a literary and artistic circle. She had every week

two dinners, on Monday for artists, and on Wednesday for her friends the

Encyclopaedists and other men of letters. She received many foreigners

of distinction, Hume and Horace Walpole among others. Walpole spent much

time in her society before he was finally attached to Mme du Deffand,

and speaks of her in his letters as a model of common sense. She was

indeed somewhat of a small tyrant in her circle. She had adopted the

pose of an old woman earlier than necessary, and her coquetry, if such

it can be called, took the form of being mother and mentor to her

guests, many of whom were indebted to her generosity for substantial

help. Although her aim appears to have been to have the _Encyclopedie_

in conversation and action around her, she was extremely displeased with

any of her friends who were so rash as to incur open disgrace. Marmontel

lost her favour after the official censure of _Belisaire_, and her

advanced views did not prevent her from observing the forms of religion.

A devoted Parisian, Mme Geoffrin rarely left the city, so that her

journey to Poland in 1766 to visit the king, Stanislas Poniatowski, whom

she had known in his early days in Paris, was a great event in her life.

Her experiences induced a sensible gratitude that she had been born

"_Francaise_" and "_particuliere_." In her last illness her daughter,

Therese, marquise de la Ferte Imbault, excluded her mother's old friends

so that she might die as a good Christian, a proceeding wittily

described by the old lady: "My daughter is like Godfrey de Bouillon, she

wished to defend my tomb from the infidels." Mme Geoffrin died in Paris

on the 6th of October 1777.

See _Correspondance inedite du roi Stanislas Auguste Poniatowski et de

Madame Geoffrin_, edited by the comte de Mouy (1875); P. de Segur, _Le

Royaume de la rue Saint-Honore, Madame Geoffrin et sa fille_ (1897);

A. Tornezy, _Un Bureau d'esprit au XVIII^e siecle: le salon de Madame

Geoffrin_ (1895); and Janet Aldis, _Madame Geoffrin, her Salon and her

Times, 1750-1777_ (1905).

GEOFFROY, ETIENNE FRANCOIS (1672-1731), French chemist, born in Paris on

the 13th of February 1672, was first an apothecary and then practised

medicine. After studying at Montpellier he accompanied Marshal Tallard

on his embassy to London in 1698 and thence travelled to Holland and

Italy. Returning to Paris he became professor of chemistry at the Jardin

du Roi and of pharmacy and medicine at the College de France, and dean

of the faculty of medicine. He died in Paris on the 6th of January 1731.

His name is best known in connexion with his tables of affinities

(_tables des rapports_), which he presented to the French Academy in

1718 and 1720. These were lists, prepared by collating observations on

the actions of substances one upon another, showing the varying degrees

of affinity exhibited by analogous bodies for different reagents, and

they retained their vogue for the rest of the century, until displaced

by the profounder conceptions introduced by C.L. Berthollet. Another of

his papers dealt with the delusions of the philosopher's stone, but

nevertheless he believed that iron could be artificially formed in the

combustion of vegetable matter. His _Tractatus de materia medica_,

published posthumously in 1741, was long celebrated.

His brother CLAUDE JOSEPH, known as Geoffroy the younger (1685-1752),

was also an apothecary and chemist who, having a considerable knowledge

of botany, devoted himself especially to the study of the essential oils

in plants.

GEOFFROY, JULIEN LOUIS (1743-1814), French critic, was born at Rennes in

1743. He studied in the school of his native town and at the College

Louis le Grand in Paris. He took orders and fulfilled for some time the

humble functions of an usher, eventually becoming professor of rhetoric

at the _College Mazarin_. A bad tragedy, Caton, was accepted at the

_Theatre Francais_, but was never acted. On the death of Elie Freron in

1776 the other collaborators in the _Annee litteraire_ asked Geoffroy to

succeed him, and he conducted the journal until in 1792 it ceased to

appear. Geoffroy was a bitter critic of Voltaire and his followers, and

made for himself many enemies. An enthusiastic royalist, he published

with Freron's brother-in-law, the abbe Thomas Royou (1741-1792), a

journal, _L'Ami du roi_ (1790-1792), which possibly did more harm than

good to the king's cause by its ill-advised partisanship. During the

Terror Geoffroy hid in the neighbourhood of Paris, only returning in

1799. An attempt to revive the _Annee litteraire_ failed, and Geoffroy

undertook the dramatic feuilleton of the _Journal des debats_. His

scathing criticisms had a success of notoriety, but their popularity was

ephemeral, and the publication of them (5 vols., 1819-1820) as _Cours de

litterature dramatique_ proved a failure. He was also the author of a

perfunctory _Commentaire_ on the works of Racine prefixed to Lenormant's

edition (1808). He died in Paris on the 27th of February 1814.

GEOFFROY SAINT-HILAIRE, ETIENNE (1772-1844), French naturalist, was the

son of Jean Gerard Geoffroy, procurator and magistrate of Etampes,

Seine-et-Oise, where he was born on the 15th of April 1772. Destined for

the church he entered the college of Navarre, in Paris, where he studied

natural philosophy under M.J. Brisson; and in 1788 he obtained one of

the canonicates of the chapter of Sainte Croix at Etampes, and also a

benefice. Science, however, offered him a more congenial career, and he

gained from his father permission to remain in Paris, and to attend the

lectures at the College de France and the Jardin des Plantes, on the

condition that he should also read law. He accordingly took up his

residence at Cardinal Lemoine's college, and there became the pupil and

soon the esteemed associate of Brisson's friend, the abbe Hauy, the

mineralogist. Having, before the close of the year 1790, taken the

degree of bachelor in law, he became a student of medicine, and attended

the lectures of A.F. de Fourcroy at the Jardin des Plantes, and of

L.J.M. Daubenton at the College de France. His studies at Paris were at

length suddenly interrupted, for, in August 1792, Hauy and the other

professors of Lemoine's college, as also those of the college of

Navarre, were arrested by the revolutionists as priests, and confined in

the prison of St Firmin. Through the influence of Daubenton and others

Geoffroy on the 14th of August obtained an order for the release of Hauy

in the name of the Academy; still the other professors of the two

colleges, save C.F. Lhomond, who had been rescued by his pupil J.L.

Tallien, remained in confinement. Geoffroy, foreseeing their certain

destruction if they remained in the hands of the revolutionists,

determined if possible to secure their liberty by stratagem. By bribing

one of the officials at St Firmin, and disguising himself as a

commissioner of prisons, he gained admission to his friends, and

entreated them to effect their escape by following him. All, however,

dreading lest their deliverance should render the doom of their

fellow-captives the more certain, refused the offer, and one priest

only, who was unknown to Geoffroy, left the prison. Already on the night

of the 2nd of September the massacre of the proscribed had begun, when

Geoffroy, yet intent on saving the life of his friends and teachers,

repaired to St Firmin. At 4 o'clock on the morning of the 3rd of

September, after eight hours' waiting, he by means of a ladder assisted

the escape of twelve ecclesiastics, not of the number of his

acquaintance, and then the approach of dawn and the discharge of a gun

directed at him warned him, his chief purpose unaccomplished, to return

to his lodgings. Leaving Paris he retired to Etampes, where, in

consequence of the anxieties of which he had lately been the prey, and

the horrors which he had witnessed, he was for some time seriously ill.

At the beginning of the winter of 1792 he returned to his studies in

Paris, and in March of the following year Daubenton, through the

interest of Bernardin de Saint Pierre, procured him the office of

sub-keeper and assistant demonstrator of the cabinet of natural history,

vacant by the resignation of B.G.E. Lacepede. By a law passed in June

1793, Geoffroy was appointed one of the twelve professors of the newly

constituted museum of natural history, being assigned the chair of

zoology. In the same year he busied himself with the formation of a

menagerie at that institution.

In 1794 through the introduction of A.H. Tessier he entered into

correspondence with Georges Cuvier, to whom, after the perusal of some

of his manuscripts, he wrote: "Venez jouer parmi nous le role de Linne,

d'un autre legislateur de l'histoire naturelle." Shortly after the

appointment of Cuvier as assistant at the Museum d'Histoire Naturelle,

Geoffroy received him into his house. The two friends wrote together

five memoirs on natural history, one of which, on the classification of

mammals, puts forward the idea of the subordination of characters upon

which Cuvier based his zoological system. It was in a paper entitled

"Histoire des Makis, ou singes de Madagascar," written in 1795, that

Geoffroy first gave expression to his views on "the unity of organic

composition," the influence of which is perceptible in all his

subsequent writings; nature, he observes, presents us with only one plan

of construction, the same in principle, but varied in its accessory

parts.

In 1798 Geoffroy was chosen a member of the great scientific expedition

to Egypt, and on the capitulation of Alexandria in August 1801, he took

part in resisting the claim made by the British general to the

collections of the expedition, declaring that, were that demand

persisted in, history would have to record that he also had burnt a

library in Alexandria. Early in January 1802 Geoffroy returned to his

accustomed labours in Paris. He was elected a member of the academy of

sciences of that city in September 1807. In March of the following year

the emperor, who had already recognized his national services by the

award of the cross of the legion of honour, selected him to visit the

museums of Portugal, for the purpose of procuring collections from them,

and in the face of considerable opposition from the British he

eventually was successful in retaining them as a permanent possession

for his country. In 1809, the year after his return to France, he was

made professor of zoology at the faculty of sciences at Paris, and from

that period he devoted himself more exclusively than before to

anatomical study. In 1818 he gave to the world the first part of his

celebrated _Philosophie anatomique_, the second volume of which,

published in 1822, and subsequent memoirs account for the formation of

monstrosities on the principle of arrest of development, and of the

attraction of similar parts. When, in 1830, Geoffroy proceeded to apply

to the invertebrata his views as to the unity of animal composition, he

found a vigorous opponent in Georges Cuvier, and the discussion between

them, continued up to the time of the death of the latter, soon

attracted the attention of the scientific throughout Europe. Geoffroy, a

synthesist, contended, in accordance with his theory of unity of plan in

organic composition, that all animals are formed of the same elements,

in the same number, and with the same connexions: homologous parts,

however they differ in form and size, must remain associated in the same

invariable order. With Goethe he held that there is in nature a law of

compensation or balancing of growth, so that if one organ take on an

excess of development, it is at the expense of some other part; and he

maintained that, since nature takes no sudden leaps, even organs which

are superfluous in any given species, if they have played an important

part in other species of the same family, are retained as rudiments,

which testify to the permanence of the general plan of creation. It was

his conviction that, owing to the conditions of life, the same forms had

not been perpetuated since the origin of all things, although it was not

his belief that existing species are becoming modified. Cuvier, who was

an analytical observer of facts, admitted only the prevalence of "laws

of co-existence" or "harmony" in animal organs, and maintained the

absolute invariability of species, which he declared had been created

with a regard to the circumstances in which they were placed, each organ

contrived with a view to the function it had to fulfil, thus putting, in

Geoffroy's considerations, the effect for the cause.

In July 1840 Geoffroy became blind, and some months later he had a

paralytic attack. From that time his strength gradually failed him. He

resigned his chair at the museum in 1841, and died at Paris on the 19th

of June 1844.

Geoffroy wrote: _Catalogue des mammiferes du Museum National

d'Histoire Naturelle_ (1813), not quite completed; _Philosophie

anatomique_--t. i., _Des organes respiratoires_ (1818), and t. ii.,

_Des monstruosites humaines_ (1822); _Systeme dentaire des mammiferes

et des oiseaux_ (1st pt., 1824); _Sur le principe de l'unite de

composition organique_ (1828); _Cours de l'histoire naturelle des

mammiferes_ (1829); _Principes de philosophie zoologique_ (1830);

_Etudes progressives d'un naturaliste_ (1835); _Fragments

biographiques_ (1832); _Notions synthetiques, historiques et

physiologiques de philosophie naturelle_ (1838), and other works; also

part of the _Description de l'Egypte par la commission des sciences_

(1821-1830); and, with Frederic Cuvier (1773-1838), a younger brother

of G. Cuvier, _Histoire naturelle des mammiferes_ (4 vols.,

1820-1842); besides numerous papers on such subjects as the anatomy of

marsupials, ruminants and electrical fishes, the vertebrate theory of

the skull, the opercula of fishes, teratology, palaeontology and the

influence of surrounding conditions in modifying animal forms.

See _Vie, travaux, et doctrine scientifique d'Etienne Geoffroy

Saint-Hilaire, par son fils M. Isidore Geoffroy Saint-Hilaire_ (Paris

and Strasburg, 1847), to which is appended a list of Geoffroy's works;

and Joly, in _Biog. universelle_, t. xvi. (1856).

GEOFFROY SAINT-HILAIRE, ISIDORE (1805-1861), French zoologist, son of

the preceding, was born at Paris on the 16th of December 1805. In his

earlier years he showed an aptitude for mathematics, but eventually he

devoted himself to the study of natural history and of medicine, and in

1824 he was appointed assistant naturalist to his father. On the

occasion of his taking the degree of doctor of medicine in September

1829, he read a thesis entitled _Propositions sur la monstruosite,

consideree chez l'homme et les animaux_; and in 1832-1837 was published

his great teratological work, _Histoire generale et particuliere des

anomalies de l'organisation chez l'homme et les animaux_, 3 vols. 8vo.

with 20 plates. In 1829 he delivered for his father the second part of a

course of lectures on ornithology, and during the three following years

he taught zoology at the Athenee, and teratology at the Ecole pratique.

He was elected a member of the academy of sciences at Paris in 1833, was

in 1837 appointed to act as deputy for his father at the faculty of

sciences in Paris, and in the following year was sent to Bordeaux to

organize a similar faculty there. He became successively inspector of

the academy of Paris (1840), professor of the museum on the retirement

of his father (1841), inspector-general of the university (1844), a

member of the royal council for public instruction (1845), and on the

death of H.M.D. de Blainville, professor of zoology at the faculty of

sciences (1850). In 1854 he founded the Acclimatization Society of

Paris, of which he was president. He died at Paris on the 10th of

November 1861.

Besides the above-mentioned works, he wrote: _Essais de zoologie

generale_ (1841); _Vie ... d'Etienne Geoffroy Saint-Hilaire_ (1847);

_Acclimatation et domestication des animaux utiles_ (1849; 4th ed.,

1861); _Lettres sur les substances alimentaires et particulierement

sur la viande de cheval_ (1856); and _Histoire naturelle generale des

regnes organiques_ (3 vols., 1854-1862), which was not quite

completed. He was the author also of various papers on zoology,

comparative anatomy and palaeontology.

GEOGRAPHY (Gr. [Greek: ge], earth, and [Greek: graphein], to write), the

exact and organized knowledge of the distribution of phenomena on the

surface of the earth. The fundamental basis of geography is the vertical

relief of the earth's crust, which controls all mobile distributions.

The grander features of the relief of the lithosphere or stony crust of

the earth control the distribution of the hydrosphere or collected

waters which gather into the hollows, filling them up to a height

corresponding to the volume, and thus producing the important practical

division of the surface into land and water. The distribution of the

mass of the atmosphere over the surface of the earth is also controlled

by the relief of the crust, its greater or lesser density at the surface

corresponding to the lesser or greater elevation of the surface. The

simplicity of the zonal distribution of solar energy on the earth's

surface, which would characterize a uniform globe, is entirely destroyed

by the dissimilar action of land and water with regard to radiant heat,

and by the influence of crust-forms on the direction of the resulting

circulation. The influence of physical environment becomes clearer and

stronger when the distribution of plant and animal life is considered,

and if it is less distinct in the case of man, the reason is found in

the modifications of environment consciously produced by human effort.

Geography is a synthetic science, dependent for the data with which it

deals on the results of specialized sciences such as astronomy, geology,

oceanography, meteorology, biology and anthropology, as well as on

topographical description. The physical and natural sciences are

concerned in geography only so far as they deal with the forms of the

earth's surface, or as regards the distribution of phenomena. The

distinctive task of geography as a science is to investigate the control

exercised by the crust-forms directly or indirectly upon the various

mobile distributions. This gives to it unity and definiteness, and

renders superfluous the attempts that have been made from time to time

to define the limits which divide geography from geology on the one hand

and from history on the other. It is essential to classify the

subject-matter of geography in such a manner as to give prominence not

only to facts, but to their mutual relations and their natural and

inevitable order.

The fundamental conception of geography is form, including the figure of

the earth and the varieties of crustal relief. Hence mathematical

geography (see MAP), including cartography as a practical application,

comes first. It merges into physical geography, which takes account of the

forms of the lithosphere (geomorphology), and also of the distribution of

the hydrosphere and the rearrangements resulting from the workings of

solar energy throughout the hydrosphere and atmosphere (oceanography and

climatology). Next follows the distribution of plants and animals

(biogeography), and finally the distribution of mankind and the various

artificial boundaries and redistributions (anthropogeography). The

applications of anthropogeography to human uses give rise to political and

commercial geography, in the elucidation of which all the earlier

departments or stages have to be considered, together with historical and

other purely human conditions. The evolutionary idea has revolutionized

and unified geography as it did biology, breaking down the old

hard-and-fast partitions between the various departments, and substituting

the study of the nature and influence of actual terrestrial environments

for the earlier motive, the discovery and exploration of new lands.

HISTORY OF GEOGRAPHICAL THEORY

The earliest conceptions of the earth, like those held by the

primitive peoples of the present day, are difficult to discover and

almost impossible fully to grasp. Early generalizations, as far as

they were made from known facts, were usually expressed in symbolic

language, and for our present purpose it is not profitable to

speculate on the underlying truths which may sometimes be suspected in

the old mythological cosmogonies.

Early Greek ideas.

Flat earth of Homer.

Hecataeus.

Herodotus.

The idea of symmetry.

The first definite geographical theories to affect the western world

were those evolved, or at least first expressed, by the Greeks.[1] The

earliest theoretical problem of geography was the form of the earth.

The natural supposition that the earth is a flat disk, circular or

elliptical in outline, had in the time of Homer acquired a special

definiteness by the introduction of the idea of the ocean river

bounding the whole, an application of imperfectly understood

observations. Thales of Miletus is claimed as the first exponent of

the idea of a spherical earth; but, although this does not appear to

be warranted, his disciple Anaximander (c. 580 B.C.) put forward the

theory that the earth had the figure of a solid body hanging freely in

the centre of the hollow sphere of the starry heavens. The Pythagorean

school of philosophers adopted the theory of a spherical earth, but

from metaphysical rather than scientific reasons; their convincing

argument was that a sphere being the most perfect solid figure was the

only one worthy to circumscribe the dwelling-place of man. The

division of the sphere into parallel zones and some of the

consequences of this generalization seem to have presented themselves

to Parmenides (c. 450 B.C.); but these ideas did not influence the

Ionian school of philosophers, who in their treatment of geography

preferred to deal with facts demonstrable by travel rather than with

speculations. Thus Hecataeus, claimed by H.F. Tozer[2] as the father

of geography on account of his _Periodos_, or general treatise on the

earth, did not advance beyond the primitive conception of a circular

disk. He systematized the form of the land within the ring of

ocean--the [Greek: oikoumene], or habitable world--by recognizing two

continents: Europe to the north, and Asia to the south of the midland

sea. Herodotus, equally oblivious of the sphere, criticized and

ridiculed the circular outline of the _oekumene_, which he knew to be

longer from east to west than it was broad from north to south. He

also pointed out reasons for accepting a division of the land into

three continents--Europe, Asia and Africa. Beyond the limits of his

personal travels Herodotus applied the characteristically Greek theory

of symmetry to complete, in the unknown, outlines of lands and rivers

analogous to those which had been explored. Symmetry was in fact the

first geographical theory, and the effect of Herodotus's hypothesis

that the Nile must flow from west to east before turning north in

order to balance the Danube running from west to east before turning

south lingered in the maps of Africa down to the time of Mungo

Park.[3]

Aristotle and the sphere.

To Aristotle (384-322 B.C.) must be given the distinction of founding

scientific geography. He demonstrated the sphericity of the earth by

three arguments, two of which could be tested by observation. These

were: (1) that the earth must be spherical, because of the tendency of

matter to fall together towards a common centre; (2) that only a

sphere could always throw a circular shadow on the moon during an

eclipse; and (3) that the shifting of the horizon and the appearance

of new constellations, or the disappearance of familiar stars, as one

travelled from north to south, could only be explained on the

hypothesis that the earth was a sphere. Aristotle, too, gave greater

definiteness to the idea of zones conceived by Parmenides, who had

pictured a torrid zone uninhabitable by reason of heat, two frigid

zones uninhabitable by reason of cold, and two intermediate temperate

zones fit for human occupation. Aristotle defined the temperate zone

as extending from the tropic to the arctic circle, but there is some

uncertainty as to the precise meaning he gave to the term "arctic

circle." Soon after his time, however, this conception was clearly

established, and with so large a generalization the mental horizon was

widened to conceive of a geography which was a science. Aristotle had

himself shown that in the southern temperate zone winds similar to

those of the northern temperate zone should blow, but from the

opposite direction.

Fitting the oekumene to the sphere.

While the theory of the sphere was being elaborated the efforts of

practical geographers were steadily directed towards ascertaining the

outline and configuration of the _oekumene_, or habitable world, the

only portion of the terrestrial surface known to the ancients and to

the medieval peoples, and still retaining a shadow of its old monopoly

of geographical attention in its modern name of the "Old World." The

fitting of the _oekumene_ to the sphere was the second theoretical

problem. The circular outline had given way in geographical opinion to

the elliptical with the long axis lying east and west, and Aristotle

was inclined to view it as a very long and relatively narrow band

almost encircling the globe in the temperate zone. His argument as to

the narrowness of the sea between West Africa and East Asia, from the

occurrence of elephants at both extremities, is difficult to

understand, although it shows that he looked on the distribution of

animals as a problem of geography.

Problem of the Antipodes.

Pythagoras had speculated as to the existence of antipodes, but it was

not until the first approximately accurate measurements of the globe

and estimates of the length and breadth of the _oekumene_ were made by

Eratosthenes (c. 250 B.C.) that the fact that, as then known, it

occupied less than a quarter of the surface of the sphere was clearly

recognized. It was natural, if not strictly logical, that the ocean

river should be extended from a narrow stream to a world-embracing

sea, and here again Greek theory, or rather fancy, gave its modern

name to the greatest feature of the globe. The old instinctive idea of

symmetry must often have suggested other _oekumene_ balancing the

known world in the other quarters of the globe. The Stoic

philosophers, especially Crates of Mallus, arguing from the love of

nature for life, placed an _oekumene_ in each quarter of the sphere,

the three unknown world-islands being those of the Antoeci, Perioeci

and Antipodes. This was a theory not only attractive to the

philosophical mind, but eminently adapted to promote exploration. It

had its opponents, however, for Herodotus showed that sea-basins

existed cut off from the ocean, and it is still a matter of

controversy how far the pre-Ptolemaic geographers believed in a

water-connexion between the Atlantic and Indian oceans. It is quite

clear that Pomponius Mela (c. A.D. 40), following Strabo, held that

the southern temperate zone contained a habitable land, which he

designated by the name _Antichthones_.

Aristotle's geographical views.

Aristotle left no work on geography, so that it is impossible to know

what facts he associated with the science of the earth's surface. The

word geography did not appear before Aristotle, the first use of it

being in the [Greek: Peri kosmon], which is one of the writings

doubtfully ascribed to him, and H. Berger considers that the

expression was introduced by Eratosthenes.[4] Aristotle was certainly

conversant with many facts, such as the formation of deltas,

coast-erosion, and to a certain extent the dependence of plants and

animals on their physical surroundings. He formed a comprehensive

theory of the variations of climate with latitude and season, and was

convinced of the necessity of a circulation of water between the sea

and rivers, though, like Plato, he held that this took place by water

rising from the sea through crevices in the rocks, losing its

dissolved salts in the process. He speculated on the differences in

the character of races of mankind living in different climates, and

correlated the political forms of communities with their situation on

a seashore, or in the neighbourhood of natural strongholds.

Strabo.

Strabo (c. 50 B.C.-A.D. 24) followed Eratosthenes rather than

Aristotle, but with sympathies which went out more to the human

interests than the mathematical basis of geography. He compiled a very

remarkable work dealing, in large measure from personal travel, with

the countries surrounding the Mediterranean. He may be said to have

set the pattern which was followed in succeeding ages by the compilers

of "political geographies" dealing less with theories than with

facts, and illustrating rather than formulating the principles of the

science.

Ptolemy.

Claudius Ptolemaeus (c. A.D. 150) concentrated in his writings the

final outcome of all Greek geographical learning, and passed it across

the gulf of the middle ages by the hands of the Arabs, to form the

starting-point of the science in modern times. His geography was based

more immediately on the work of his predecessor, Marinus of Tyre, and

on that of Hipparchus, the follower and critic of Eratosthenes. It was

the ambition of Ptolemy to describe and represent accurately the

surface of the _oekumene_, for which purpose he took immense trouble

to collect all existing determinations of the latitude of places, all

estimates of longitude, and to make every possible rectification in

the estimates of distances by land or sea. His work was mainly

cartographical in its aim, and theory was as far as possible excluded.

The symmetrically placed hypothetical islands in the great continuous

ocean disappeared, and the _oekumene_ acquired a new form by the

representation of the Indian Ocean as a larger Mediterranean

completely cut off by land from the Atlantic. The _terra incognita_

uniting Africa and Farther Asia was an unfortunate hypothesis which

helped to retard exploration. Ptolemy used the word _geography_ to

signify the description of the whole _oekumene_ on mathematical

principles, while _chorography_ signified the fuller description of a

particular region, and _topography_ the very detailed description of a

smaller locality. He introduced the simile that geography represented

an artist's sketch of a whole portrait, while chorography corresponded

to the careful and detailed drawing of an eye or an ear.[5]

The Caliph al-Mam[ = u]n (c. A.D. 815), the son and successor of H[ =

a]r[ = u]n al-Rash[ = i]d, caused an Arabic version of Ptolemy's great

astronomical work ([Greek: Suntaxis megiste]) to be made, which is

known as the _Almagest_, the word being nothing more than the Gr.

[Greek: megiste] with the Arabic article _al_ prefixed. The geography

of Ptolemy was also known and is constantly referred to by Arab

writers. The Arab astronomers measured a degree on the plains of

Mesopotamia, thereby deducing a fair approximation to the size of the

earth. The caliph's librarian, Abu Jafar Muhammad Ben Musa, wrote a

geographical work, now unfortunately lost, entitled _Rasm el Arsi_ ("A

Description of the World"), which is often referred to by subsequent

writers as having been composed on the model of that of Ptolemy.

Geography in the middle ages.

The middle ages saw geographical knowledge die out in Christendom,

although it retained, through the Arabic translations of Ptolemy, a

certain vitality in Islam. The verbal interpretation of Scripture led

Lactantius (c. A.D. 320) and other ecclesiastics to denounce the

spherical theory of the earth as heretical. The wretched subterfuge of

Cosmas (c. A.D. 550) to explain the phenomena of the apparent

movements of the sun by means of an earth modelled on the plan of the

Jewish Tabernacle gave place ultimately to the wheel-maps--the T in an

O--which reverted to the primitive ignorance of the times of Homer and

Hecataeus.[6]

The journey of Marco Polo, the increasing trade to the East and the

voyages of the Arabs in the Indian Ocean prepared the way for the

reacceptance of Ptolemy's ideas when the sealed books of the Greek

original were translated into Latin by Angelus in 1410.

Revival of geography.

The old arguments of Aristotle and the old measurements of Ptolemy

were used by Toscanelli and Columbus in urging a westward voyage to

India; and mainly on this account did the crossing of the Atlantic

rank higher in the history of scientific geography than the laborious

feeling out of the coast-line of Africa. But not until the voyage of

Magellan shook the scales from the eyes of Europe did modern geography

begin to advance. Discovery had outrun theory; the rush of new facts

made Ptolemy practically obsolete in a generation, after having been

the fount and origin of all geography for a millennium.

Apianus.

The earliest evidence of the reincarnation of a sound theoretical

geography is to be found in the text-books by Peter Apian and

Sebastian Munster. Apian in his _Cosmographicus liber_, published in

1524, and subsequently edited and added to by Gemma Frisius under the

title of _Cosmographia_, based the whole science on mathematics and

measurement. He followed Ptolemy closely, enlarging on his distinction

between geography and chorography, and expressing the artistic analogy

in a rough diagram. This slender distinction was made much of by most

subsequent writers until Nathanael Carpenter in 1625 pointed out that

the difference between geography and chorography was simply one of

degree, not of kind.

Munster.

Sebastian Munster, on the other hand, in his _Cosmographia

universalis_ of 1544, paid no regard to the mathematical basis of

geography, but, following the model of Strabo, described the world

according to its different political divisions, and entered with great

zest into the question of the productions of countries, and into the

manners and costumes of the various peoples. Thus early commenced the

separation between what were long called mathematical and political

geography, the one subject appealing mainly to mathematicians, the

other to historians.

Throughout the 16th and 17th centuries the rapidly accumulating store

of facts as to the extent, outline and mountain and river systems of

the lands of the earth were put in order by the generation of

cartographers of which Mercator was the chief; but the writings of

Apian and Munster held the field for a hundred years without a serious

rival, unless the many annotated editions of Ptolemy might be so

considered. Meanwhile the new facts were the subject of original study

by philosophers and by practical men without reference to classical

traditions. Bacon argued keenly on geographical matters and was a

lover of maps, in which he observed and reasoned upon such

resemblances as that between the outlines of South America and Africa.

Cluverius.

Philip Cluver's _Introductio in geographiam universam tam veterem quam

novam_ was published in 1624. Geography he defined as "the description

of the whole earth, so far as it is known to us." It is distinguished

from cosmography by dealing with the earth alone, not with the

universe, and from chorography and topography by dealing with the

whole earth, not with a country or a place. The first book, of

fourteen short chapters, is concerned with the general properties of

the globe; the remaining six books treat in considerable detail of the

countries of Europe and of the other continents. Each country is

described with particular regard to its people as well as to its

surface, and the prominence given to the human element is of special

interest.

Carpenter.

A little-known book which appears to have escaped the attention of

most writers on the history of modern geography was published at

Oxford in 1625 by Nathanael Carpenter, fellow of Exeter College, with

the title _Geographie delineated forth in Two Bookes, containing the

Sphericall and Topicall parts thereof_. It is discursive in its style

and verbose; but, considering the period at which it appeared, it is

remarkable for the strong common sense displayed by the author, his

comparative freedom from prejudice, and his firm application of the

methods of scientific reasoning to the interpretation of phenomena.

Basing his work on the principles of Ptolemy, he brings together

illustrations from the most recent travellers, and does not hesitate

to take as illustrative examples the familiar city of Oxford and his

native county of Devon. He divides geography into _The Spherical

Part_, or that for the study of which mathematics alone is required,

and _The Topical Part_, or the description of the physical relations

of parts of the earth's surface, preferring this division to that

favoured by the ancient geographers--into general and special. It is

distinguished from other English geographical books of the period by

confining attention to the principles of geography, and not describing

the countries of the world.

Varenius.

A much more important work in the history of geographical method is

the _Geographia generalis_ of Bernhard Varenius, a German medical

doctor of Leiden, who died at the age of twenty-eight in 1650, the

year of the publication of his book. Although for a time it was lost

sight of on the continent, Sir Isaac Newton thought so highly of this

book that he prepared an annotated edition which was published in

Cambridge in 1672, with the addition of the plates which had been

planned by Varenius, but not produced by the original publishers. "The

reason why this great man took so much care in correcting and

publishing our author was, because he thought him necessary to be read

by his audience, the young gentlemen of Cambridge, while he was

delivering lectures on the same subject from the Lucasian Chair."[7]

The treatise of Varenius is a model of logical arrangement and terse

expression; it is a work of science and of genius; one of the few of

that age which can still be studied with profit. The English

translation renders the definition thus: "Geography is that part of

_mixed mathematics_ which explains the state of the earth and of its

parts, depending on quantity, viz. its figure, place, magnitude and

motion, with the celestial appearances, &c. By some it is taken in too

limited a sense, for a bare description of the several countries; and

by others too extensively, who along with such a description would

have their political constitution."

Varenius was reluctant to include the human side of geography in his

system, and only allowed it as a concession to custom, and in order to

attract readers by imparting interest to the sterner details of the

science. His division of geography was into two parts--(i.) General or

universal, dealing with the earth in general, and explaining its

properties without regard to particular countries; and (ii.) Special

or particular, dealing with each country in turn from the

chorographical or topographical point of view. General geography was

divided into--(1) the _Absolute_ part, dealing with the form,

dimensions, position and substance of the earth, the distribution of

land and water, mountains, woods and deserts, hydrography (including

all the waters of the earth) and the atmosphere; (2) the _Relative_

part, including the celestial properties, i.e. latitude, climate

zones, longitude, &c.; and (3) the _Comparative_ part, which

"considers the particulars arising from comparing one part with

another"; but under this head the questions discussed were longitude,

the situation and distances of places, and navigation. Varenius does

not treat of special geography, but gives a scheme for it under three

heads--(1) _Terrestrial_, including position, outline, boundaries,

mountains, mines, woods and deserts, waters, fertility and fruits, and

living creatures; (2) _Celestial_, including appearance of the heavens

and the climate; (3) _Human_, but this was added out of deference to

popular usage.

This system of geography founded a new epoch, and the book--translated

into English, Dutch and French--was the unchallenged standard for more

than a century. The framework was capable of accommodating itself to

new facts, and was indeed far in advance of the knowledge of the

period. The method included a recognition of the causes and effects of

phenomena as well as the mere fact of their occurrence, and for the

first time the importance of the vertical relief of the land was

fairly recognized.

The physical side of geography continued to be elaborated after

Varenius's methods, while the historical side was developed

separately. Both branches, although enriched by new facts, remained

stationary so far as method is concerned until nearly the end of the

18th century. The compilation of "geography books" by uninstructed

writers led to the pernicious habit, which is not yet wholly overcome,

of reducing the general or "physical" part to a few pages of

concentrated information, and expanding the particular or "political"

part by including unrevised travellers' stories and uncritical

descriptions of the various countries of the world. Such books were in

fact not geography, but merely compressed travel.

Bergman.

The next marked advance in the theory of geography may be taken as the

nearly simultaneous studies of the physical earth carried out by the

Swedish chemist, Torbern Bergman, acting under the impulse of

Linnaeus, and by the German philosopher, Immanuel Kant. Bergman's

_Physical Description of the Earth_ was published in Swedish in 1766,

and translated into English in 1772 and into German in 1774. It is a

plain, straightforward description of the globe, and of the various

phenomena of the surface, dealing only with definitely ascertained

facts in the natural order of their relationships, but avoiding any

systematic classification or even definitions of terms.

Kant.

The problems of geography had been lightened by the destructive

criticism of the French cartographer D'Anville (who had purged the map

of the world of the last remnants of traditional fact unverified by

modern observations) and rendered richer by the dawn of the new era of

scientific travel, when Kant brought his logical powers to bear upon

them. Kant's lectures on physical geography were delivered in the

university of Konigsberg from 1765 onwards.[8] Geography appealed to

him as a valuable educational discipline, the joint foundation with

anthropology of that "knowledge of the world" which was the result of

reason and experience. In this connexion he divided the communication

of experience from one person to another into two categories--the

narrative or historical and the descriptive or geographical; both

history and geography being viewed as descriptions, the former a

description in order of time, the latter a description in order of

space.

Physical geography he viewed as a summary of nature, the basis not

only of history but also of "all the other possible geographies," of

which he enumerates five, viz. (1) _Mathematical geography_, which

deals with the form, size and movements of the earth and its place in

the solar system; (2) _Moral geography_, or an account of the

different customs and characters of mankind according to the region

they inhabit; (3) _Political geography_, the divisions according to

their organized governments; (4) _Mercantile geography_, dealing with

the trade in the surplus products of countries; (5) _Theological

geography_, or the distribution of religions. Here there is a clear

and formal statement of the interaction and causal relation of all the

phenomena of distribution on the earth's surface, including the

influence of physical geography upon the various activities of mankind

from the lowest to the highest. Notwithstanding the form of this

classification, Kant himself treats mathematical geography as

preliminary to, and therefore not dependent on, physical geography.

Physical geography itself is divided into two parts: a general, which

has to do with the earth and all that belongs to it--water, air and

land; and a particular, which deals with special products of the

earth--mankind, animals, plants and minerals. Particular importance is

given to the vertical relief of the land, on which the various

branches of human geography are shown to depend.

Humboldt.

Alexander von Humboldt (1769-1859) was the first modern geographer to

become a great traveller, and thus to acquire an extensive stock of

first-hand information on which an improved system of geography might

be founded. The impulse given to the study of natural history by the

example of Linnaeus; the results brought back by Sir Joseph Banks, Dr

Solander and the two Forsters, who accompanied Cook in his voyages of

discovery; the studies of De Saussure in the Alps, and the lists of

desiderata in physical geography drawn up by that investigator,

combined to prepare the way for Humboldt. The theory of geography was

advanced by Humboldt mainly by his insistence on the great principle

of the unity of nature. He brought all the "observable things," which

the eager collectors of the previous century had been heaping together

regardless of order or system, into relation with the vertical relief

and the horizontal forms of the earth's surface. Thus he demonstrated

that the forms of the land exercise a directive and determining

influence on climate, plant life, animal life and on man himself. This

was no new idea; it had been familiar for centuries in a less definite

form, deduced from a priori considerations, and so far as regards the

influence of surrounding circumstances upon man, Kant had already

given it full expression. Humboldt's concrete illustrations and the

remarkable power of his personality enabled him to enforce these

principles in a way that produced an immediate and lasting effect. The

treatises on physical geography by Mrs Mary Somerville and Sir John

Herschel (the latter written for the eighth edition of the

_Encyclopaedia Britannica_) showed the effect produced in Great

Britain by the stimulus of Humboldt's work.

Ritter.

Humboldt's contemporary, Carl Ritter (1779-1859), extended and

disseminated the same views, and in his interpretation of "Comparative

Geography" he laid stress on the importance of forming conclusions,

not from the study of one region by itself, but from the comparison of

the phenomena of many places. Impressed by the influence of

terrestrial relief and climate on human movements, Ritter was led

deeper and deeper into the study of history and archaeology. His

monumental _Vergleichende Geographie_, which was to have made the

whole world its theme, died out in a wilderness of detail in

twenty-one volumes before it had covered more of the earth's surface

than Asia and a portion of Africa. Some of his followers showed a

tendency to look on geography rather as an auxiliary to history than

as a study of intrinsic worth.

Geography as a natural science.

During the rapid development of physical geography many branches of

the study of nature, which had been included in the cosmography of the

early writers, the physiography of Linnaeus and even the _Erdkunde_ of

Ritter, had been so much advanced by the labours of specialists that

their connexion was apt to be forgotten. Thus geology, meteorology,

oceanography and anthropology developed into distinct sciences. The

absurd attempt was, and sometimes is still, made by geographers to

include all natural science in geography; but it is more common for

specialists in the various detailed sciences to think, and sometimes

to assert, that the ground of physical geography is now fully occupied

by these sciences. Political geography has been too often looked on

from both sides as a mere summary of guide-book knowledge, useful in

the schoolroom, a poor relation of physical geography that it was

rarely necessary to recognize.

The science of geography, passed on from antiquity by Ptolemy,

re-established by Varenius and Newton, and systematized by Kant,

included within itself definite aspects of all those terrestrial

phenomena which are now treated exhaustively under the heads of

geology, meteorology, oceanography and anthropology; and the inclusion

of the requisite portions of the perfected results of these sciences

in geography is simply the gathering in of fruit matured from the seed

scattered by geography itself.

The study of geography was advanced by improvements in cartography

(see MAP), not only in the methods of survey and projection, but in

the representation of the third dimension by means of contour lines

introduced by Philippe Buache in 1737, and the more remarkable because

less obvious invention of isotherms introduced by Humboldt in 1817.

The teleological argument in geography.

The "argument from design" had been a favourite form of reasoning

amongst Christian theologians, and, as worked out by Paley in his

_Natural Theology_, it served the useful purpose of emphasizing the

fitness which exists between all the inhabitants of the earth and

their physical environment. It was held that the earth had been

created so as to fit the wants of man in every particular. This

argument was tacitly accepted or explicitly avowed by almost every

writer on the theory of geography, and Carl Ritter distinctly

recognized and adopted it as the unifying principle of his system. As

a student of nature, however, he did not fail to see, and as professor

of geography he always taught, that man was in very large measure

conditioned by his physical environment. The apparent opposition of

the observed fact to the assigned theory he overcame by looking upon

the forms of the land and the arrangement of land and sea as

instruments of Divine Providence for guiding the destiny as well as

for supplying the requirements of man. This was the central theme of

Ritter's philosophy; his religion and his geography were one, and the

consequent fervour with which he pursued his mission goes far to

account for the immense influence he acquired in Germany.

The theory of evolution in geography.

The evolutionary theory, more than hinted at in Kant's "Physical

Geography," has, since the writings of Charles Darwin, become the

unifying principle in geography. The conception of the development of

the plan of the earth from the first cooling of the surface of the

planet throughout the long geological periods, the guiding power of

environment on the circulation of water and of air, on the

distribution of plants and animals, and finally on the movements of

man, give to geography a philosophical dignity and a scientific

completeness which it never previously possessed. The influence of

environment on the organism may not be quite so potent as it was once

believed to be, in the writings of Buckle, for instance,[9] and

certainly man, the ultimate term in the series, reacts upon and

greatly modifies his environment; yet the fact that environment does

influence all distributions is established beyond the possibility of

doubt. In this way also the position of geography, at the point where

physical science meets and mingles with mental science, is explained

and justified. The change which took place during the 19th century in

the substance and style of geography may be well seen by comparing the

eight volumes of Malte-Brun's _Geographie universelle_ (Paris,

1812-1829) with the twenty-one volumes of Reclus's _Geographie

universelle_ (Paris, 1876-1895).

In estimating the influence of recent writers on geography it is usual

to assign to Oscar Peschel (1826-1875) the credit of having corrected

the preponderance which Ritter gave to the historical element, and of

restoring physical geography to its old pre-eminence.[10] As a matter

of fact, each of the leading modern exponents of theoretical

geography--such as Ferdinand von Richthofen, Hermann Wagner, Friedrich

Ratzel, William M. Davis, A. Penck, A. de Lapparent and Elisee

Reclus--has his individual point of view, one devoting more attention

to the results of geological processes, another to anthropological

conditions, and the rest viewing the subject in various blendings of

the extreme lights.

The two conceptions which may now be said to animate the theory of

geography are the genetic, which depends upon processes of origin, and

the morphological, which depends on facts of form and distribution.

PROGRESS OF GEOGRAPHICAL DISCOVERY

Exploration and geographical discovery must have started from more

than one centre, and to deal justly with the matter one ought to treat

of these separately in the early ages before the whole civilized world

was bound together by the bonds of modern intercommunication. At the

least there should be some consideration of four separate systems of

discovery--the Eastern, in which Chinese and Japanese explorers

acquired knowledge of the geography of Asia, and felt their way

towards Europe and America; the Western, in which the dominant races

of the Mexican and South American plateaus extended their knowledge of

the American continent before Columbus; the Polynesian, in which the

conquering races of the Pacific Islands found their way from group to

group; and the Mediterranean. For some of these we have no certain

information, and regarding others the tales narrated in the early

records are so hard to reconcile with present knowledge that they are

better fitted to be the battle-ground of scholars championing rival

theories than the basis of definite history. So it has come about that

the only practicable history of geographical exploration starts from

the Mediterranean centre, the first home of that civilization which

has come to be known as European, though its field of activity has

long since overspread the habitable land of both temperate zones,

eastern Asia alone in part excepted.

From all centres the leading motives of exploration were probably the

same--commercial intercourse, warlike operations, whether resulting in

conquest or in flight, religious zeal expressed in pilgrimages or

missionary journeys, or, from the other side, the avoidance of

persecution, and, more particularly in later years, the advancement of

knowledge for its own sake. At different times one or the other motive

predominated.

Before the 14th century B.C. the warrior kings of Egypt had carried

the power of their arms southward from the delta of the Nile well-nigh

to its source, and eastward to the confines of Assyria. The

hieroglyphic inscriptions of Egypt and the cuneiform inscriptions of

Assyria are rich in records of the movements and achievements of

armies, the conquest of towns and the subjugation of peoples; but

though many of the recorded sites have been identified, their

discovery by wandering armies was isolated from their subsequent

history and need not concern us here.

The Phoenicians.

The Phoenicians are the earliest Mediterranean people in the

consecutive chain of geographical discovery which joins pre-historic

time with the present. From Sidon, and later from its more famous

rival Tyre, the merchant adventurers of Phoenicia explored and

colonized the coasts of the Mediterranean and fared forth into the

ocean beyond. They traded also on the Red sea, and opened up regular

traffic with India as well as with the ports of the south and west, so

that it was natural for Solomon to employ the merchant navies of Tyre

in his oversea trade. The western emporium known in the scriptures as

Tarshish was probably situated in the south of Spain, possibly at

Cadiz, although some writers contend that it was Carthage in North

Africa. Still more diversity of opinion prevails as to the southern

gold-exporting port of Ophir, which some scholars place in Arabia,

others at one or another point on the east coast of Africa. Whether

associated with the exploitation of Ophir (q.v.) or not the first

great voyage of African discovery appears to have been accomplished by

the Phoenicians sailing the Red Sea. Herodotus (himself a notable

traveller in the 5th century B.C.) relates that the Egyptian king

Necho of the XXVIth Dynasty (c. 600 B.C.) built a fleet on the Red

Sea, and confided it to Phoenician sailors with the orders to sail

southward and return to Egypt by the Pillars of Hercules and the

Mediterranean sea. According to the tradition, which Herodotus quotes

sceptically, this was accomplished; but the story is too vague to be

accepted as more than a possibility.

The great Phoenician colony of Carthage, founded before 800 B.C.,

perpetuated the commercial enterprise of the parent state, and

extended the sphere of practical trade to the ocean shores of Africa

and Europe. The most celebrated voyage of antiquity undertaken for the

express purpose of discovery was that fitted out by the senate of

Carthage under the command of Hanno, with the intention of founding

new colonies along the west coast of Africa. According to Pliny, the

only authority on this point, the period of the voyage was that of the

greatest prosperity of Carthage, which may be taken as somewhere

between 570 and 480 B.C. The extent of this voyage is doubtful, but it

seems probable that the farthest point reached was on the east-running

coast which bounds the Gulf of Guinea on the north. Himilco, a

contemporary of Hanno, was charged with an expedition along the west

coast of Iberia northward, and as far as the uncertain references to

this voyage can be understood, he seems to have passed the Bay of

Biscay and possibly sighted the coast of England.

The Greeks.

The sea power of the Greek communities on the coast of Asia Minor and

in the Archipelago began to be a formidable rival to the Phoenician

soon after the time of Hanno and Himilco, and peculiar interest

attaches to the first recorded Greek voyage beyond the Pillars of

Hercules. Pytheas, a navigator of the Phocean colony of Massilia

(Marseilles), determined the latitude of that port with considerable

precision by the somewhat clumsy method of ascertaining the length of

the longest day, and when, about 330 B.C., he set out on exploration

to the northward in search of the lands whence came gold, tin and

amber, he followed this system of ascertaining his position from time

to time. If on each occasion he himself made the observations his

voyage must have extended over six years; but it is not impossible

that he ascertained the approximate length of the longest day in some

cases by questioning the natives. Pytheas, whose own narrative is not

preserved, coasted the Bay of Biscay, sailed up the English Channel

and followed the coast of Britain to its most northerly point. Beyond

this he spoke of a land called _Thule_, which, if his estimate of the

length of the longest day is correct, may have been Shetland, but was

possibly Iceland; and from some confused statements as to a sea which

could not be sailed through, it has been assumed that Pytheas was the

first of the Greeks to obtain direct knowledge of the Arctic regions.

During this or a second voyage Pytheas entered the Baltic, discovered

the coasts where amber is obtained and returned to the Mediterranean.

It does not seem that any maritime trade followed these discoveries,

and indeed it is doubtful whether his contemporaries accepted the

truth of Pytheas's narrative; Strabo four hundred years later

certainly did not, but the critical studies of modern scholars have

rehabilitated the Massilian explorer.

Alexander the Great.

The Greco-Persian wars had made the remoter parts of Asia Minor more

than a name to the Greek geographers before the time of Alexander the

Great, but the campaigns of that conqueror from 329 to 325 B.C. opened

up the greater Asia to the knowledge of Europe. His armies crossed the

plains beyond the Caspian, penetrated the wild mountain passes

north-west of India, and did not turn back until they had entered on

the Indo-Gangetic plain. This was one of the few great epochs of

geographical discovery.

The world was henceforth viewed as a very large place stretching far

on every side beyond the Midland or Mediterranean Sea, and the land

journey of Alexander resulted in a voyage of discovery in the outer

ocean from the mouth of the Indus to that of the Tigris, thus opening

direct intercourse between Grecian and Hindu civilization. The Greeks

who accompanied Alexander described with care the towns and villages,

the products and the aspect of the country. The conqueror also

intended to open up trade by sea between Europe and India, and the

narrative of his general Nearchus records this famous voyage of

discovery, the detailed accounts of the chief pilot Onesicritus being

lost. At the beginning of October 326 B.C. Nearchus left the Indus

with his fleet, and the anchorages sought for each night are carefully

recorded. He entered the Persian Gulf, and rejoined Alexander at Susa,

when he was ordered to prepare another expedition for the

circumnavigation of Arabia. Alexander died at Babylon in 323 B.C., and

the fleet was dispersed without making the voyage.

The dynasties founded by Alexander's generals, Seleucus, Antiochus and

Ptolemy, encouraged the same spirit of enterprise which their master

had fostered, and extended geographical knowledge in several

directions. Seleucus Nicator established the Greco-Bactrian empire and

continued the intercourse with India. Authentic information respecting

the great valley of the Ganges was supplied by Megasthenes, an

ambassador sent by Seleucus, who reached the remote city of

Patali-putra, the modern Patna.

The Ptolemies.

The Ptolemies in Egypt showed equal anxiety to extend the bounds of

geographical knowledge. Ptolemy Euergetes (247-222 B.C.) rendered the

greatest service to geography by the protection and encouragement of

Eratosthenes, whose labours gave the first approximate knowledge of

the true size of the spherical earth. The second Euergetes and his

successor Ptolemy Lathyrus (118-115 B.C.) furnished Eudoxus with a

fleet to explore the Arabian sea. After two successful voyages,

Eudoxus, impressed with the idea that Africa was surrounded by ocean

on the south, left the Egyptian service, and proceeded to Cadiz and

other Mediterranean centres of trade seeking a patron who would

finance an expedition for the purpose of African discovery; and we

learn from Strabo that the veteran explorer made at least two voyages

southward along the coast of Africa. The Ptolemies continued to send

fleets annually from their Red Sea ports of Berenice and Myos Hormus

to Arabia, as well as to ports on the coasts of Africa and India.

The Romans.

The Romans did not encourage navigation and commerce with the same

ardour as their predecessors; still the luxury of Rome, which gave

rise to demands for the varied products of all the countries of the

known world, led to an active trade both by ships and caravans. But it

was the military genius of Rome, and the ambition for universal

empire, which led, not only to the discovery, but also to the survey

of nearly all Europe, and of large tracts in Asia and Africa. Every

new war produced a new survey and itinerary of the countries which

were conquered, and added one more to the imperishable roads that led

from every quarter of the known world to Rome. In the height of their

power the Romans had surveyed and explored all the coasts of the

Mediterranean, Italy, Greece, the Balkan Peninsula, Spain, Gaul,

western Germany and southern Britain. In Africa their empire included

Egypt, Carthage, Numidia and Mauritania. In Asia they held Asia Minor

and Syria, had sent expeditions into Arabia, and were acquainted with

the more distant countries formerly invaded by Alexander, including

Persia, Scythia, Bactria and India. Roman intercourse with India

especially led to the extension of geographical knowledge.

Before the Roman legions were sent into a new region to extend the

limits of the empire, it was usual to send out exploring expeditions

to report as to the nature of the country. It is narrated by Pliny and

Seneca that the emperor Nero sent out two centurions on such a mission

towards the source of the Nile (probably about A.D. 60), and that the

travellers pushed southwards until they reached vast marshes through

which they could not make their way either on foot or in boats. This

seems to indicate that they had penetrated to about 9 deg. N. Shortly

before A.D. 79 Hippalus took advantage of the regular alternation of

the monsoons to make the voyage from the Red Sea to India across the

open ocean out of sight of land. Even though this sea-route was known,

the author of the _Periplus of the Erythraean Sea_, published after

the time of Pliny, recites the old itinerary around the coast of the

Arabian Gulf. It was, however, in the reigns of Severus and his

immediate successors that Roman intercourse with India was at its

height, and from the writings of Pausanias (c. 174) it appears that

direct communication between Rome and China had already taken place.

After the division of the Roman empire, Constantinople became the last

refuge of learning, arts and taste; while Alexandria continued to be

the emporium whence were imported the commodities of the East. The

emperor Justinian (483-565), in whose reign the greatness of the

Eastern empire culminated, sent two Nestorian monks to China, who

returned with eggs of the silkworm concealed in a hollow cane, and

thus silk manufactures were established in the Peloponnesus and the

Greek islands. It was also in the reign of Justinian that Cosmas

Indicopleustes, an Egyptian merchant, made several voyages, and

afterwards composed his [Greek: Christianike topographia] (Christian

Topography), containing, in addition to his absurd cosmogony, a

tolerable description of India.

The Arabs.

The great outburst of Mahommedan conquest in the 7th century was

followed by the Arab civilization, having its centres at Bagdad and

Cordova, in connexion with which geography again received a share of

attention. The works of the ancient Greek geographers were translated

into Arabic, and starting with a sound basis of theoretical knowledge,

exploration once more made progress. From the 9th to the 13th century

intelligent Arab travellers wrote accounts of what they had seen and

heard in distant lands. The earliest Arabian traveller whose

observations have come down to us is the merchant Sulaiman, who

embarked in the Persian Gulf and made several voyages to India and

China, in the middle of the 9th century. Abu Zaid also wrote on India,

and his work is the most important that we possess before the

epoch-making discoveries of Marco Polo. Masudi, a great traveller who

knew from personal experience all the countries between Spain and

China, described the plains, mountains and seas, the dynasties and

peoples, in his _Meadows of Gold_, an abstract made by himself of his

larger work _News of the Time_. He died in 956, and was known, from

the comprehensiveness of his survey, as the Pliny of the East. Amongst

his contemporaries were Istakhri, who travelled through all the

Mahommedan countries and wrote his _Book of Climates_ in 950, and Ibn

Haukal, whose _Book of Roads and Kingdoms_, based on the work of

Istakhri, was written in 976. Idrisi, the best known of the Arabian

geographical authors, after travelling far and wide in the first half

of the 12th century, settled in Sicily, where he wrote a treatise

descriptive of an armillary sphere which he had constructed for Roger

II., the Norman king, and in this work he incorporated all accessible

results of contemporary travel.

The Northmen.

The Northmen of Denmark and Norway, whose piratical adventures were

the terror of all the coasts of Europe, and who established themselves

in Great Britain and Ireland, in France and Sicily, were also

geographical explorers in their rough but practical way during the

darkest period of the middle ages. All Northmen were not bent on

rapine and plunder; many were peaceful merchants. Alfred the Great,

king of the Saxons in England, not only educated his people in the

learning of the past ages; he inserted in the geographical works he

translated many narratives of the travel of his own time. Thus he

placed on record the voyages of the merchant Ulfsten in the Baltic,

including particulars of the geography of Germany. And in particular

he told of the remarkable voyage of Other, a Norwegian of Helgeland,

who was the first authentic Arctic explorer, the first to tell of the

rounding of the North Cape and the sight of the midnight sun. This

voyage of the middle of the 9th century deserves to be held in happy

memory, for it unites the first Norwegian polar explorer with the

first English collector of travels. Scandinavian merchants brought the

products of India to England and Ireland. From the 8th to the 11th

century a commercial route from India passed through Novgorod to the

Baltic, and Arabian coins found in Sweden, and particularly in the

island of Gotland, prove how closely the enterprise of the Northmen

and of the Arabs intertwined. Five-sixths of these coins preserved at

Stockholm were from the mints of the Samanian dynasty, which reigned

in Khorasan and Transoxiana from about A.D. 900 to 1000. It was the

trade with the East that originally gave importance to the city of

Visby in Gotland.

In the end of the 9th century Iceland was colonized from Norway; and

about 985 the intrepid viking, Eric the Red, discovered Greenland, and

induced some of his Icelandic countrymen to settle on its inhospitable

shores. His son, Leif Ericsson, and others of his followers were

concerned in the discovery of the North American coast (see VINLAND),

which, but for the isolation of Iceland from the centres of European

awakening, would have had momentous consequences. As things were, the

importance of this discovery passed unrecognized. The story of two

Venetians, Nicolo and Antonio Zeno, who gave a vague account of

voyages in the northern seas in the end of the 13th century, is no

longer to be accepted as history.

Close of the dark ages.

At length the long period of barbarism which accompanied and followed

the fall of the Roman empire drew to a close in Europe. The Crusades

had a favourable influence on the intellectual state of the Western

nations. Interesting regions, known only by the scant reports of

pilgrims, were made the objects of attention and study; while

religious zeal, and the hope of gain, combined with motives of mere

curiosity, induced several persons to travel by land into remote

regions of the East, far beyond the countries to which the operations

of the crusaders extended. Among these was Benjamin of Tudela, who set

out from Spain in 1160, travelled by land to Constantinople, and

having visited India and some of the eastern islands, returned to

Europe by way of Egypt after an absence of thirteen years.

Asiatic journeys.

Joannes de Plano Carpini, a Franciscan monk, was the head of one of

the missions despatched by Pope Innocent to call the chief and people

of the Tatars to a better mind. He reached the headquarters of Batu,

on the Volga, in February 1246; and, after some stay, went on to the

camp of the great khan near Karakorum in central Asia, and returned

safely in the autumn of 1247. A few years afterwards, a Fleming named

Rubruquis was sent on a similar mission, and had the merit of being

the first traveller of this era who gave a correct account of the

Caspian Sea. He ascertained that it had no outlet. At nearly the same

time Hayton, king of Armenia, made a journey to Karakorum in 1254, by

a route far to the north of that followed by Carpini and Rubruquis. He

was treated with honour and hospitality, and returned by way of

Samarkand and Tabriz, to his own territory. The curious narrative of

King Hayton was translated by Klaproth.

While the republics of Italy, and above all the state of Venice, were

engaged in distributing the rich products of India and the Far East

over the Western world, it was impossible that motives of curiosity,

as well as a desire of commercial advantage, should not be awakened to

such a degree as to impel some of the merchants to visit those remote

lands. Among these were the brothers Polo, who traded with the East

and themselves visited Tatary. The recital of their travels fired the

youthful imagination of young Marco Polo, son of Nicolo, and he set

out for the court of Kublai Khan, with his father and uncle, in 1265.

Marco remained for seventeen years in the service of the Great Khan,

and was employed on many important missions. Besides what he learnt

from his own observation, he collected much information from others

concerning countries which he did not visit. He returned to Europe

possessed of a vast store of knowledge respecting the eastern parts of

the world, and, being afterwards made a prisoner by the Genoese, he

dictated the narrative of his travels during his captivity. The work

of Marco Polo is the most valuable narrative of travels that appeared

during the middle ages, and despite a cold reception and many denials

of the accuracy of the record, its substantial truthfulness has been

abundantly proved.

Missionaries continued to do useful geographical work. Among them were

John of Monte Corvino, a Franciscan monk, Andrew of Perugia, John

Marignioli and Friar Jordanus, who visited the west coast of India,

and above all Friar Odoric of Pordenone. Odoric set out on his travels

about 1318, and his journeys embraced parts of India, the Malay

Archipelago, China and even Tibet, where he was the first European to

enter Lhasa, not yet a forbidden city.

Ibn Batuta, the great Arab traveller, is separated by a wide space of

time from his countrymen already mentioned, and he finds his proper

place in a chronological notice after the days of Marco Polo, for he

did not begin his wanderings until 1325, his career thus coinciding in

time with the fabled journeyings of Sir John Mandeville. While Arab

learning flourished during the darkest ages of European ignorance, the

last of the Arab geographers lived to see the dawn of the great period

of the European awakening. Ibn Batuta went by land from Tangier to

Cairo, then visited Syria, and performed the pilgrimages to Medina and

Mecca. After exploring Persia, and again residing for some time at

Mecca, he made a voyage down the Red sea to Yemen, and travelled

through that country to Aden. Thence he visited the African coast,

touching at Mombasa and Quiloa, and then sailed across to Ormuz and

the Persian Gulf. He crossed Arabia from Bahrein to Jidda, traversed

the Red sea and the desert to Syene, and descended the Nile to Cairo.

After this he revisited Syria and Asia Minor, and crossed the Black

sea, the desert from Astrakhan to Bokhara, and the Hindu Kush. He was

in the service of Muhammad Tughluk, ruler of Delhi, about eight years,

and was sent on an embassy to China, in the course of which the

ambassadors sailed down the west coast of India to Calicut, and then

visited the Maldive Islands and Ceylon. Ibn Batuta made the voyage

through the Malay Archipelago to China, and on his return he proceeded

from Malabar to Bagdad and Damascus, ultimately reaching Fez, the

capital of his native country, in November 1349. After a journey into

Spain he set out once more for Central Africa in 1352, and reached

Timbuktu and the Niger, returning to Fez in 1353. His narrative was

committed to writing from his dictation.

Spanish exploration.

The European country which had come the most completely under the

influence of Arab culture now began to send forth explorers to distant

lands, though the impulse came not from the Moors but from Italian

merchant navigators in Spanish service. The peaceful reign of Henry

III. of Castile is famous for the attempts of that prince to extend

the diplomatic relations of Spain to the remotest parts of the earth.

He sent embassies to all the princes of Christendom and to the Moors.

In 1403 the Spanish king sent a knight of Madrid, Ruy Gonzalez de

Clavijo, to the distant court of Timur, at Samarkand. He returned in

1406, and wrote a valuable narrative of his travels.

Italians continued to make important journeys in the East during the

15th century. Among them was Nicolo Conti, who passed through Persia,

sailed along the coast of Malabar, visited Sumatra, Java and the south

of China, returned by the Red sea, and got home to Venice in 1444

after an absence of twenty-five years. He related his adventures to

Poggio Bracciolini, secretary to Pope Eugenius IV.; and the narrative

contains much interesting information. One of the most remarkable of

the Italian travellers was Ludovico di Varthema, who left his native

land in 1502. He went to Egypt and Syria, and for the sake of visiting

the holy cities became a Mahommedan. He was the first European who

gave an account of the interior of Yemen. He afterwards visited and

described many places in Persia, India and the Malay Archipelago,

returning to Europe in a Portuguese ship after an absence of five

years.

Portuguese exploration--Prince Henry the Navigator.

In the 15th century the time was approaching when the discovery of the

Cape of Good Hope was to widen the scope of geographical enterprise.

This great event was preceded by the general utilization in Europe of

the polarity of the magnetic needle in the construction of the

mariner's compass. Portugal took the lead along this new path, and

foremost among her pioneers stands Prince Henry the Navigator

(1394-1460), who was a patron both of exploration and of the study of

geographical theory. The great westward projection of the coast of

Africa, and the islands to the north-west of that continent, were the

principal scene of the work of the mariners sent out at his expense;

but his object was to push onward and reach India from the Atlantic.

The progress of discovery received a check on his death, but only for

a time. In 1462 Pedro de Cintra extended Portuguese exploration along

the African coast and discovered Sierra Leone. Fernan Gomez followed

in 1469, and opened trade with the Gold Coast; and in 1484 Diogo Cao

discovered the mouth of the Congo. The king of Portugal next

despatched Bartolomeu Diaz in 1486 to continue discoveries southwards;

while, in the following year, he sent Pedro de Covilhao and Affonso de

Payva to discover the country of Prester John. Diaz succeeded in

rounding the southern point of Africa, which he named Cabo

Tormentoso--the Cape of Storms--but King Joao II., foreseeing the

realization of the long-sought passage to India, gave it the

stimulating and enduring name of the Cape of Good Hope. Payva died at

Cairo; but Covilhao, having heard that a Christian ruler reigned in

the mountains of Ethiopia, penetrated into Abyssinia in 1490. He

delivered the letter which Joao II. had addressed to Prester John to

the Negus Alexander of Abyssinia, but he was detained by that prince

and never allowed to leave the country.

Columbus.

The Portuguese, following the lead of Prince Henry, continued to look

for the road to India by the Cape of Good Hope. The same end was

sought by Christopher Columbus, following the suggestion of

Toscanelli, and under-estimating the diameter of the globe, by sailing

due west. The voyages of Columbus (1492-1498) resulted in the

discovery of the West Indies and North America which barred the way to

the Far East. In 1493 the pope, Alexander VI., issued a bull

instituting the famous "line of demarcation" running from N. to S. 100

leagues W. of the Azores, to the west of which the Spaniards were

authorized to explore and to the east of which the Portuguese received

the monopoly of discovery. The direct line of Portuguese exploration

resulted in the discovery of the Cape route to India by Vasco da Gama

(1498), and in 1500 to the independent discovery of South America by

Pedro Alvarez Cabral. The voyages of Columbus and of Vasco da Gama

were so important that it is unnecessary to detail their results in

this place. See COLUMBUS, CHRISTOPHER; GAMA, VASCO DA.

Vasco da Gama.

The three voyages of Vasco da Gama (who died on the scene of his

labours, at Cochin, in 1524) revolutionized the commerce of the East.

Until then the Venetians held the carrying trade of India, which was

brought by the Persian Gulf and Red sea into Syria and Egypt, the

Venetians receiving the products of the East at Alexandria and Beirut

and distributing them over Europe. This commerce was a great source of

wealth to Venice; but after the discovery of the new passage round the

Cape, and the conquests of the Portuguese, the trade of the East

passed into other hands.

Spaniards in America.

The discoveries of Columbus awakened a spirit of enterprise in Spain

which continued in full force for a century; adventurers flocked

eagerly across the Atlantic, and discovery followed discovery in rapid

succession. Many of the companions of Columbus continued his work.

Vicente Yanez Pinzon in 1500 reached the mouth of the Amazon. In the

same year Alonso de Ojeda, accompanied by Juan de la Cosa, from whose

maps we learn much of the discoveries of the 16th century navigators,

and by a Florentine named Amerigo Vespucci, touched the coast of South

America somewhere near Surinam, following the shore as far as the Gulf

of Maracaibo. Vespucci afterwards made three voyages to the Brazilian

coast; and in 1504 he wrote an account of his four voyages, which was

widely circulated, and became the means of procuring for its author at

the hands of the cartographer Waldseemuller in 1507 the

disproportionate distinction of giving his name to the whole

continent. In 1508 Alonso de Ojeda obtained the government of the

coast of South America from Cabo de la Vela to the Gulf of Darien;

Ojeda landed at Cartagena in 1510, and sustained a defeat from the

natives, in which his lieutenant, Juan de la Cosa, was killed. After

another reverse on the east side of the Gulf of Darien Ojeda returned

to Hispaniola and died there. The Spaniards in the Gulf of Darien were

left by Ojeda under the command of Francisco Pizarro, the future

conqueror of Peru. After suffering much from famine and disease,

Pizarro resolved to leave, and embarked the survivors in small

vessels, but outside the harbour they met a ship which proved to be

that of Martin Fernandez Enciso, Ojeda's partner, coming with

provisions and reinforcements. One of the crew of Enciso's ship, Vasco

Nunez de Balboa, the future discoverer of the Pacific Ocean, induced

his commander to form a settlement on the other side of the Gulf of

Darien. The soldiers became discontented and deposed Enciso, who was a

man of learning and an accomplished cosmographer. His work _Suma de

Geografia_, which was printed in 1519, is the first Spanish book which

gives an account of America. Vasco Nunez, the new commander, entered

upon a career of conquest in the neighbourhood of Darien, which ended

in the discovery of the Pacific Ocean on the 25th of September 1513.

Vasco Nunez was beheaded in 1517 by Pedrarias de Avila, who was sent

out to supersede him. This was one of the greatest calamities that

could have happened to South America; for the discoverer of the South

sea was on the point of sailing with a little fleet into his unknown

ocean, and a humane and judicious man would probably have been the

conqueror of Peru, instead of the cruel and ignorant Pizarro. In the

year 1519 Panama was founded by Pedrarias; and the conquest of Peru by

Pizarro followed a few years afterwards. Hernan Cortes overran and

conquered Mexico from 1518 to 1521, and the discovery and conquest of

Guatemala by Alvarado, the invasion of Florida by De Soto, and of

Nueva Granada by Quesada, followed in rapid succession. The first

detailed account of the west coast of South America was written by a

keenly observant old soldier, Pedro de Cieza de Leon, who was

travelling in South America from 1533 to 1550, and published his story

at Seville in 1553.

Pacific Ocean.

The great desire of the Spanish government at that time was to find a

westward route to the Moluccas. For this purpose Juan Diaz de Solis

was despatched in October 1515, and in January 1516 he discovered the

mouth of the Rio de la Plata. He was, however, killed by the natives,

and his ships returned. In the following year the Portuguese

Ferdinando Magalhaes, familiarly known as Magellan, laid before

Charles V., at Valladolid, a scheme for reaching the Spice Islands by

sailing westward. He started on the 21st of September 1519, entered

the strait which now bears his name in October 1520, worked his way

through between Patagonia and Tierra del Fuego, and entered on the

vast Pacific which he crossed without sighting any of its innumerable

island groups. This was unquestionably the greatest of the voyages

which followed from the impulse of Prince Henry, and it was rendered

possible only by the magnificent courage of the commander in spite of

rebellion, mutiny and starvation. It was the 6th of March 1521 when he

reached the Ladrone Islands. Thence Magellan proceeded to the

Philippines, and there his career ended in an unimportant encounter

with hostile natives. Eventually a Biscayan named Sebastian del Cano,

sailing home by way of the Cape of Good Hope, reached San Lucar in

command of the "Victoria" on the 6th of September 1522, with eighteen

survivors; this one ship of the squadron which sailed on the quest

succeeded in accomplishing the first circumnavigation of the globe.

Del Cano was received with great distinction by the emperor, who

granted him a globe for his crest, and the motto _Primus circumdedisti

me_.

Portuguese in Africa and the East.

While the Spaniards were circumnavigating the world and completing

their knowledge of the coasts of Central and South America, the

Portuguese were actively engaged on similar work as regards Africa and

the East Indies.

With Abyssinia the mission of Covilhao led to further intercourse. In

April 1520 Vasco da Gama, as viceroy of the Indies, took a fleet into

the Red sea, and landed an embassy consisting of Dom Rodriguez de Lima

and Father Francisco Alvarez, a priest whose detailed narrative is the

earliest and not the least interesting account we possess of

Abyssinia. It was not until 1526 that the embassy was dismissed; and

not many years afterwards the negus entreated the help of the

Portuguese against Mahommedan invaders, and the viceroy sent an

expeditionary force, commanded by his brother Cristoforo da Gama, with

450 musketeers. Da Gama was taken prisoner and killed, but his

followers enabled the Christians of Abyssinia to regain their power,

and a Jesuit mission remained in the country. The Portuguese also

established a close connexion with the kingdom of Congo on the west

side of Africa, and obtained much information respecting the interior

of the continent. Duarte Lopez, a Portuguese settled in the country,

was sent on a mission to Rome by the king of Congo, and Pope Sixtus V.

caused him to recount to his chamberlain, Felipe Pigafetta, all he had

learned during the nine years he had been in Africa, from 1578 to

1587. This narrative, under the title of _Description of the Kingdom

of Congo_, was published at Rome by Pigafetta in 1591. A map was

attached on which several great equatorial lakes are shown, and the

empire of Monomwezi or Unyamwezi is laid down. The most valuable work

on Africa about this time is, however, that written by the Moor Leo

Africanus in the early part of the 16th century. Leo travelled

extensively in the north and west of Africa, and was eventually taken

by pirates and sold to a master who presented him to Pope Leo X. At

the pope's desire he translated his work on Africa into Italian.

In Further India and the Malay Archipelago the Portuguese acquired

predominating influence at sea, establishing factories on the Malabar

coast, in the Persian Gulf, at Malacca, and in the Spice Islands, and

extending their commercial enterprises from the Red sea to China.

Their missionaries were received at the court of Akbar, and Benedict

Goes, a native of the Azores, was despatched on a journey overland

from Agra to China. He started in 1603, and, after traversing the

least-known parts of Central Asia, he reached the confines of China.

He appears to have ascended from Kabul to the plateau of the Pamir,

and thence onwards by Yarkand, Khotan and Aksu. He died on the journey

in March 1607; and thus, as one of the brethren pronounced his

epitaph, "seeking Cathay he found heaven."

English, Dutch and French.

The activity and love of adventure, which became a passion for two or

three generations in Spain and Portugal, spread to other countries. It

was the spirit of the age; and England, Holland and France were fired

by it. English enterprise was first aroused by John and Sebastian

Cabot, father and son, who came from Venice and settled at Bristol in

the time of Henry VII. The Cabots received a patent in 1496,

empowering them to seek unknown lands; and John Cabot discovered

Newfoundland and part of the coast of America. Sebastian afterwards

made a voyage to Rio de la Plata in the service of Spain, but he

returned to England in 1548 and received a pension from Edward VI. At

his suggestion a voyage was undertaken for the discovery of a

north-east passage to Cathay, with Sir Hugh Willoughby as

captain-general of the fleet and Richard Chancellor as pilot-major.

They sailed in May 1553, but Willoughby and all his crew perished on

the Lapland coast. Chancellor, however, was more fortunate. He reached

the White Sea, performed the journey overland to Moscow, where he was

well received, and may be said to have been the founder of the trade

between Russia and England. He returned to Archangel and brought his

ship back in safety to England. On a second voyage, in 1556,

Chancellor was drowned; and three subsequent voyages, led by Stephen

Burrough, Arthur Pet and Charles Jackman, in small craft of 50 tons

and under, carried on an examination of the straits which lead into

the Kara sea.

The French followed closely on the track of John Cabot, and Norman and

Breton fishermen frequented the banks of Newfoundland at the beginning

of the 16th century. In 1524 Francis I. sent Giovanni da Verazzano of

Florence on an expedition of discovery to the coast of North America;

and the details of his voyage were embodied in a letter addressed by

him to the king of France from Dieppe, in July 1524. In 1534 Jacques

Cartier set out to continue the discoveries of Verazzano, and visited

Newfoundland and the Gulf of St Lawrence. In the following year he

made another voyage, discovered the island of Anticosti, and ascended

the St Lawrence to Hochelaga, now Montreal. He returned, after passing

two winters in Canada; and on another occasion he also failed to

establish a colony. Admiral de Coligny made several unsuccessful

endeavours to form a colony in Florida under Jean Ribault of Dieppe,

Rene de Laudonniere and others, but the settlers were furiously

assailed by the Spaniards and the attempt was abandoned.

The Elizabethan era.

The reign of Elizabeth is famous for the gallant enterprises that were

undertaken by sea and land to discover and bring to light the unknown

parts of the earth. The great promoter of geographical discovery in

the Elizabethan period was Richard Hakluyt (1553-1616), who was active

in the formation of the two companies for colonizing Virginia in 1606;

and devoted his life to encouraging and recording similar

undertakings. He published much, and left many valuable papers at his

death, most of which, together with many other narratives, were

published in 1622 in the great work of the Rev. Samuel Purchas,

entitled _Hakluytus Posthumus, or Purchas his Pilgrimes_.

It is from these works that our knowledge of the gallant deeds of the

English and other explorers of the Elizabethan age is mainly derived.

The great and splendidly illustrated collections of voyages and

travels of Theodorus de Bry and Hulsius served a similar useful

purpose on the continent of Europe. One important object of English

maritime adventurers of those days was to discover a route to Cathay

by the north-west, a second was to settle Virginia, and a third was to

raid the Spanish settlements in the West Indies. Nor was the trade to

Muscovy and Turkey neglected; while latterly a resolute and successful

attempt was made to establish direct commercial relations with India.

The conception of the north-western route to Cathay now leads the

story of exploration, for the first time as far as important and

sustained efforts are concerned, towards the Arctic seas. This part of

the story is fully told under the heading of POLAR REGIONS, and only

the names of Martin Frobisher (1576), John Davis (1585), Henry Hudson

(1607) and William Baffin (1616) need be mentioned here in order to

preserve the complete conspectus of the history of discovery. The

Dutch emulated the British in the Arctic seas during this period,

directing their efforts mainly towards the discovery of a north-east

passage round the northern end of Novaya Zemlya; and William Barents

or Barendsz (1594-1597) is the most famous name in this connexion, his

boat voyage along the coast of Novaya Zemlya after losing his ship and

wintering in a high latitude, being one of the most remarkable

achievements in polar annals.

Many English voyages were also made to Guinea and the West Indies, and

twice English vessels followed in the track of Magellan, and

circumnavigated the globe. In 1577 Francis Drake, who had previously

served with Hawkins in the West Indies, undertook his celebrated

voyage round the world. Reaching the Pacific through the Strait of

Magellan, Drake proceeded northward along the west coast of America,

resolved to attempt the discovery of a northern passage from the

Pacific to the Atlantic. The coast from the southern extremity of the

Californian peninsula to Cape Mendocino had been discovered by Juan

Rodriguez Cabrillo and Francisco de Ulloa in 1539. Drake's discoveries

extended from Cape Mendocino to 48 deg. N., in which latitude he gave

up his quest, sailed across the Pacific and reached the Philippine

Islands, returning home round the Cape of Good Hope in 1580.

Thomas Cavendish, emulous of Drake's example, fitted out three vessels

for an expedition to the South sea in 1586. He took the same route as

Drake along the west coast of America. From Cape San Lucas Cavendish

steered across the Pacific, seeing no land until he reached the

Ladrone Islands. He returned to England in 1588. The third English

voyage into the Pacific was not so fortunate. Sir Richard Hawkins

(1593) on reaching the bay of Atacames, in 1 deg.N. in 1594, was

attacked by a Spanish fleet, and, after a desperate naval engagement,

was forced to surrender. Hawkins declared his object to be discovery

and the survey of unknown lands, and his voyage, though terminating in

disaster, bore good fruit. _The Observations of Sir Richard Hawkins in

his Voyage into the South Sea_, published in 1622, are very valuable.

It was long before another British ship entered the Pacific Ocean. Sir

John Narborough took two ships through the Strait of Magellan in 1670

and touched on the coast of Chile, but it was not until 1685 that

Dampier sailed over the part of the Pacific where Hawkins met his

defeat.

The exploring enterprise of the Spanish nation did not wane after the

conquest of Peru and Mexico, and the acquisition of the vast empire of

the Indies. It was spurred into renewed activity by the audacity of

Sir John Hawkins in the West Indies, and by the appearance of Drake,

Cavendish and Richard Hawkins in the Pacific.

In the interior of South America the Spanish conquerors had explored

the region of the Andes from the isthmus of Panama to Chile. Pedro de

Valdivia in 1540 made an expedition into the country of the Araucanian

Indians of Chile, and was the first to explore the eastern base of

the Andes in what is now Argentine Patagonia. In 1541 Francisco de

Orellana discovered the whole course of the Amazon from its source in

the Andes to the Atlantic. A second voyage on the Amazon was made in

1561 by the mad pirate Lope de Aguirre; but it was not until 1639 that

a full account was written of the great river by Father Cristoval de

Acuna, who ascended it from its mouth and reached the city of Quito.

Spaniards in the Pacific.

The voyage of Drake across the Pacific was preceded by that of Alvaro

de Mendana, who was despatched from Peru in 1567 to discover the great

Antarctic continent which was believed to extend far northward into

the South sea, the search for which now became one of the leading

motives of exploration. After a voyage of eighty days across the

Pacific, Mendana discovered the Solomon Islands; and the expedition

returned in safety to Callao. The appearance of Drake on the Peruvian

coast led to an expedition being fitted out at Callao, to go in chase

of him, under the command of Pedro Sarmiento. He sailed from Callao in

October 1579, and made a careful survey of the Strait of Magellan,

with the object of fortifying that entrance to the South sea. The

colony which he afterwards took out from Spain was a complete failure,

and is only remembered now from the name of "Port Famine," which

Cavendish gave to the site at which he found the starving remnant of

Sarmiento's settlers. In June 1595 Mendana sailed from the coast of

Peru in command of a second expedition to colonize the Solomon

Islands. After discovering the Marquesas, he reached the island of

Santa Cruz of evil memory, where he and many of the settlers died. His

young widow took command of the survivors and brought them safely to

Manila. The viceroys of Peru still persevered in their attempts to

plant a colony in the hypothetical southern continent. Pedro Fernandez

de Quiros, who was pilot under Mendana and Luis Vaez de Torres, were

sent in command of two ships to continue the work of exploration. They

sailed from Callao in December 1605, and discovered several islands of

the New Hebrides group. They anchored in a bay of a large island which

Quiros named "Australia del Espiritu Santo." From this place Quiros

returned to America, but Torres continued the voyage, passed through

the strait between Australia and New Guinea which bears his name, and

explored and mapped the southern and eastern coasts of New Guinea.

The Portuguese, in the early part of the 17th century (1578-1640),

were under the dominion of Spain, and their enterprise was to some

extent damped; but their missionaries extended geographical knowledge

in Africa. Father Francisco Paez acquired great influence in

Abyssinia, and explored its highlands from 1600 to 1622. Fathers

Mendez and Lobo traversed the deserts between the coast of the Red sea

and the mountains, became acquainted with Lake Tsana, and discovered

the sources of the Blue Nile in 1624-1633.

Rivalry in the East.

But the attention of the Portuguese was mainly devoted to vain

attempts to maintain their monopoly of the trade of India against the

powerful rivalry of the English and Dutch. The English enterprises

were persevering, continuous and successful. James Lancaster made a

voyage to the Indian Ocean from 1591 to 1594; and in 1599 the

merchants and adventurers of London resolved to form a company, with

the object of establishing a trade with the East Indies. On the 31st

of December 1599 Queen Elizabeth granted the charter of incorporation

to the East India Company, and Sir James Lancaster, one of the

directors, was appointed general of their first fleet. He was

accompanied by John Davis, the great Arctic navigator, as pilot-major.

This voyage was eminently successful. The ships touched at Achin in

Sumatra and at Java, returning with full ladings of pepper in 1603.

The second voyage was commanded by Sir Henry Middleton; but it was in

the third voyage, under Keelinge and Hawkins, that the mainland of

India was first reached in 1607. Captain Hawkins landed at Surat and

travelled overland to Agra, passing some time at the court of the

Great Mogul. In the voyage of Sir Edward Michelborne in 1605, John

Davis lost his life in a fight with a Japanese junk. The eighth

voyage, led by Captain Saris, extended the operations of the company

to Japan; and in 1613 the Japanese government granted privileges to

the company; but the British retired in 1623, giving up their factory.

The chief result of this early intercourse between Great Britain and

Japan was the interesting series of letters written by William Adams

from 1611 to 1617. From the tenth voyage of the East India Company,

commanded by Captain Best, who left England in 1612, dates the

establishment of permanent British factories on the coast of India. It

was Captain Best who secured a regular _firman_ for trade from the

Great Mogul. From that time a fleet was despatched every year, and the

company's operations greatly increased geographical knowledge of India

and the Eastern Archipelago. British visits to Eastern countries, at

this time, were not confined to the voyages of the company. Journeys

were also made by land, and, among others, the entertaining author of

the _Crudities_, Thomas Coryate, of Odcombe in Somersetshire, wandered

on foot from France to India, and died (1617) in the company's factory

at Surat. In 1561 Anthony Jenkinson arrived in Persia with a letter

from Queen Elizabeth to the shah. He travelled through Russia to

Bokhara, and returned by the Caspian and Volga. In 1579 Christopher

Burroughs built a ship at Nizhniy Novgorod and traded across the

Caspian to Baku; and in 1598 Sir Anthony and Robert Shirley arrived in

Persia, and Robert was afterwards sent by the shah to Europe as his

ambassador. He was followed by a Spanish mission under Garcia de

Silva, who wrote an interesting account of his travels; and to Sir

Dormer Cotton's mission, in 1628, we are indebted for Sir Thomas

Herbert's charming narrative. In like manner Sir Thomas Roe's mission

to India resulted not only in a large collection of valuable reports

and letters of his own, but also in the detailed account of his

chaplain Terry. But the most learned and intelligent traveller in the

East, during the 17th century, was the German, Engelbrecht Kaempfer,

who accompanied an embassy to Persia, in 1684, and was afterwards a

surgeon in the service of the Dutch East India Company. He was in the

Persian Gulf, India and Java, and resided for more than two years in

Japan, of which he wrote a history.

Dutch exploration, 16th-17th centuries.

The Dutch nation, as soon as it was emancipated from Spanish tyranny,

displayed an amount of enterprise, which, for a long time, was fully

equal to that of the British. The Arctic voyages of Barents were

quickly followed by the establishment of a Dutch East India Company;

and the Dutch, ousting the Portuguese, not only established factories

on the mainland of India and in Japan, but acquired a preponderating

influence throughout the Malay Archipelago. In 1583 Jan Hugen van

Linschoten made a voyage to India with a Portuguese fleet, and his

full and graphic descriptions of India, Africa, China and the Malay

Archipelago must have been of no small use to his countrymen in their

distant voyages. The first of the Dutch Indian voyages was performed

by ships which sailed in April 1595, and rounded the Cape of Good

Hope. A second large Dutch fleet sailed in 1598; and, so eager was the

republic to extend her commerce over the world that another fleet,

consisting of five ships of Rotterdam, was sent in the same year by

way of Magellan's Strait, under Jacob Mahu as admiral, with William

Adams as pilot. Mahu died on the passage out, and was succeeded by

Simon de Cordes, who was killed on the coast of Chile. In September

1599 the fleet had entered the Pacific. The ships were then steered

direct for Japan, and anchored off Bungo in April 1600. In the same

year, 1598, a third expedition was despatched under Oliver van Noort,

a native of Utrecht, but the voyage contributed nothing to geography.

The Dutch Company in 1614 again resolved to send a fleet to the

Moluccas by the westward route, and Joris Spilbergen was appointed to

the command as admiral, with a commission from the States-General. He

was furnished with four ships of Amsterdam, two of Rotterdam and one

from Zeeland. On the 6th of May 1615 Spilbergen entered the Pacific

Ocean, and touched at several places on the coast of Chile and Peru,

defeating the Spanish fleet in a naval engagement off Chilca. After

plundering Payta and making requisitions at Acapulco, the Dutch fleet

crossed the Pacific and reached the Moluccas in March 1616.

The Dutch now resolved to discover a passage into the Pacific to the

south of Tierra del Fuego, the insular nature of which had been

ascertained by Sir Francis Drake. The vessels fitted out for this

purpose were the "Eendracht," of 360 tons, commanded by Jacob Lemaire,

and the "Hoorn," of 110 tons, under Willem Schouten. They sailed from

the Texel on the 14th of June 1615, and by the 20th of January 1616

they were south of the entrance of Magellan's Strait. Passing through

the strait of Lemaire they came to the southern extremity of Tierra

del Fuego, which was named Cape Horn, in honour of the town of Hoorn

in West Friesland, of which Schouten was a native. They passed the

cape on the 31st of January, encountering the usual westerly winds.

The great merit of this discovery of a second passage into the South

sea lies in the fact that it was not accidental or unforeseen, but was

due to the sagacity of those who designed the voyage. On the 1st of

March the Dutch fleet sighted the island of Juan Fernandez; and,

having crossed the Pacific, the explorers sailed along the north coast

of New Guinea and arrived at the Moluccas on the 17th of September

1616.

There were several early indications of the existence of the great

Australian continent, and the Dutch endeavoured to obtain further

knowledge concerning the country and its extent; but only its northern

and western coasts had been visited before the time of Governor van

Diemen. Dirk Hartog had been on the west coast in latitude 26 deg. 30'

S. in 1616. Pelsert struck on a reef called "Houtman's Abrolhos" on

the 4th of June 1629. In 1697 the Dutch captain Vlamingh landed on the

west coast of Australia, then called New Holland, in 31 deg. 43' S.,

and named the Swan river from the black swans he discovered there. In

1642 the governor and council of Batavia fitted out two ships to

prosecute the discovery of the south land, then believed to be part of

a vast Antarctic continent, and entrusted the command to Captain Abel

Jansen Tasman. This voyage proved to be the most important to

geography that had been undertaken since the first circumnavigation of

the globe. Tasman sailed from Batavia in 1642, and on the 24th of

November sighted high land in 42 deg. 30' S., which was named van

Diemen's Land, and after landing there proceeded to the discovery of

the western coast of New Zealand; at first called Staten Land, and

supposed to be connected with the Antarctic continent from which this

voyage proved New Holland to be separated. He then reached Tongatabu,

one of the Friendly Islands of Cook; and returned by the north coast

of New Guinea to Batavia. In 1644 Tasman made a second voyage to

effect a fuller discovery of New Guinea.

French in North America.

The French directed their enterprise more in the direction of North

America than of the Indies. One of their most distinguished explorers

was Samuel Champlain, a captain in the navy, who, after a remarkable

journey through Mexico and the West Indies from 1599 to 1602,

established his historic connexion with Canada, to the geographical

knowledge of which he made a very large addition.

Missionaries in the East.

The principles and methods of surveying and position finding had by

this time become well advanced, and the most remarkable example of the

early application of these improvements is to be found in the survey

of China by Jesuit missionaries. They first prepared a map of the

country round Peking, which was submitted to the emperor Kang-hi, and,

being satisfied with the accuracy of the European method of surveying,

he resolved to have a survey made of the whole empire on the same

principles. This great work was begun in July 1708, and the completed

maps were presented to the emperor in 1718. The records preserved in

each city were examined, topographical information was diligently

collected, and the Jesuit fathers checked their triangulation by

meridian altitudes of the sun and pole star and by a system of

remeasurements. The result was a more accurate map of China than

existed, at that time, of any country in Europe. Kang-hi next ordered

a similar map to be made of Tibet, the survey being executed by two

lamas who were carefully trained as surveyors by the Jesuits at

Peking. From these surveys were constructed the well-known maps which

were forwarded to Duhalde, and which D'Anville utilized for his atlas.

The 18th century.

Asia.

Several European missionaries had previously found their way from

India to Tibet. Antonio Andrada, in 1624, was the first European to

enter Tibet since the visit of Friar Odoric in 1325. The next journey

was that of Fathers Grueber and Dorville about 1660, who succeeded in

passing from China, through Tibet, into India. In 1715 Fathers

Desideri and Freyre made their way from Agra, across the Himalayas, to

Lhasa, and the Capuchin Friar Orazio della Penna resided in that city

from 1735 until 1747. But the most remarkable journey in this

direction was performed by a Dutch traveller named Samuel van de

Putte. He left Holland in 1718, went by land through Persia to India,

and eventually made his way to Lhasa, where he resided for a long

time. He went thence to China, returned to Lhasa, and was in India in

time to be an eye-witness of the sack of Delhi by Nadir Shah in 1737.

In 1743 he left India and died at Batavia on the 27th of September

1745. The premature death of this illustrious traveller is the more to

be lamented because his vast knowledge died with him. Two English

missions sent by Warren Hastings to Tibet, one led by George Bogle in

1774, and the other by Captain Turner in 1783, complete Tibetan

exploration in the 18th century.

From Persia much new information was supplied by Jean Chardin, Jean

Tavernier, Charles Hamilton, Jean de Thevenot and Father Jude

Krusinski, and by English traders on the Caspian. In 1738 John Elton

traded between Astrakhan and the Persian port of Enzeli on the

Caspian, and undertook to build a fleet for Nadir Shah. Another

English merchant, named Jonas Hanway, arrived at Astrabad from Russia,

and travelled to the camp of Nadir at Kazvin. One lasting and valuable

result of Hanway's wanderings was a charming book of travels. In 1700

Guillaume Delisle published his map of the continents of the Old

World; and his successor D'Anville produced his map of India in 1752.

D'Anville's map contained all that was then known, but ten years

afterwards Major Rennell began his surveying labours, which extended

over the period from 1763 to 1782. His survey covered an area 900 m.

long by 300 wide, from the eastern confines of Bengal to Agra, and

from the Himalayas to Calpi. Rennell was indefatigable in collecting

geographical information; his Bengal atlas appeared in 1781, his

famous map of India in 1788 and the memoir in 1792. Surveys were also

made along the Indian coasts.

Arabia received very careful attention, in the 18th century, from the

Danish scientific mission, which included Carsten Niebuhr among its

members. Niebuhr landed at Loheia, on the coast of Yemen, in December

1762, and went by land to Sana. All the other members of the mission

died, but he proceeded from Mokha to Bombay. He then made a journey

through Persia and Syria to Constantinople, returning to Copenhagen in

1767. His valuable work, the _Description of Arabia_, was published in

1772, and was followed in 1774-1778 by two volumes of travels in Asia.

The great traveller survived until 1815, when he died at the age of

eighty-two.

Africa.

James Bruce of Kinnaird, the contemporary of Niebuhr, was equally

devoted to Eastern travel; and his principal geographical work was the

tracing of the Blue Nile from its source to its junction with the

White Nile. Before the death of Bruce an African Association was

formed, in 1788, for collecting information respecting the interior of

that continent, with Major Rennell and Sir Joseph Banks as leading

members. The association first employed John Ledyard (who had

previously made an extraordinary journey into Siberia) to cross Africa

from east to west on the parallel of the Niger, and William Lucas to

cross the Sahara to Fezzan. Lucas went from Tripoli to Mesurata,

obtained some information respecting Fezzan and returned in 1789. One

of the chief problems the association wished to solve was that of the

existence and course of the river Niger, which was believed by some

authorities to be identical with the Congo. Mungo Park, then an

assistant surgeon of an Indiaman, volunteered his services, which were

accepted by the association, and in 1795 he succeeded in reaching the

town of Segu on the Niger, but was prevented from continuing his

journey to Timbuktu. Five years later he accepted an offer from the

government to command an expedition into the interior of Africa, the

plan being to cross from the Gambia to the Niger and descend the

latter river to the sea. After losing most of his companions he

himself and the rest perished in a rapid on the Niger at Busa, having

been attacked from the shore by order of a chief who thought he had

not received suitable presents. His work, however, had established the

fact that the Niger was not identical with the Congo.

While the British were at work in the direction of the Niger, the

Portuguese were not unmindful of their old exploring fame. In 1798 Dr

F.J.M. de Lacerda, an accomplished astronomer, was appointed to

command a scientific expedition of discovery to the north of the

Zambesi. He started in July, crossed the Muchenja Mountains, and

reached the capital of the Cazembe, where he died of fever. Lacerda

left a valuable record of his adventurous journey; but with Mungo Park

and Lacerda the history of African exploration in the 18th century

closes.

South America.

In South America scientific exploration was active during this period.

The great geographical event of the century, as regards that

continent, was the measurement of an arc of the meridian. The

undertaking was proposed by the French Academy as part of an

investigation with the object of ascertaining the length of the degree

near the equator and near the pole respectively so as to determine the

figure of the earth. A commission left Paris in 1735, consisting of

Charles Marie de la Condamine, Pierre Bouguer, Louis Godin and Joseph

de Jussieu the naturalist. Spain appointed two accomplished naval

officers, the brothers Ulloa, as coadjutors. The operations were

carried on during eight years on a plain to the south of Quito; and,

in addition to his memoir on this memorable measurement, La Condamine

collected much valuable geographical information during a voyage down

the Amazon. The arc measured was 3 deg. 7' 3" in length; and the work

consisted of two measured bases connected by a series of triangles,

one north and the other south of the equator, on the meridian of

Quito. Contemporaneously, in 1738, Pierre Louis Moreau de Maupertuis,

Alexis Claude Clairaut, Charles Etienne Louis Camus, Pierre Charles

Lemonnier and the Swedish physicist Celsius measured an arc of the

meridian in Lapland.

The Pacific Ocean.

The British and French governments despatched several expeditions of

discovery into the Pacific and round the world during the 18th

century. They were preceded by the wonderful and romantic voyages of

the buccaneers. The narratives of such men as Woodes Rogers, Edward

Davis, George Shelvocke, Clipperton and William Dampier, can never

fail to interest, while they are not without geographical value. The

works of Dampier are especially valuable, and the narratives of

William Funnell and Lionel Wafer furnished the best accounts then

extant of the Isthmus of Darien. Dampier's literary ability eventually

secured for him a commission in the king's service; and he was sent on

a voyage of discovery, during which he explored part of the coasts of

Australia and New Guinea, and discovered the strait which bears his

name between New Guinea and New Britain, returning in 1701. In 1721

Jacob Roggewein was despatched on a voyage of some importance across

the Pacific by the Dutch West India Company, during which he

discovered Easter Island on the 6th of April 1722.

The voyage of Lord Anson to the Pacific in 1740-1744 was of a

predatory character, and he lost more than half his men from scurvy;

while it is not pleasant to reflect that at the very time when the

French and Spaniards were measuring an arc of the meridian at Quito,

the British under Anson were pillaging along the coast of the Pacific

and burning the town of Payta. But a romantic interest attaches to the

wreck of the "Wager," one of Anson's fleet, on a desert island near

Chiloe, for it bore fruit in the charming narrative of Captain John

Byron, which will endure for all time. In 1764 Byron himself was sent

on a voyage of discovery round the world, which led immediately after

his return to the despatch of another to complete his work, under the

command of Captain Samuel Wallis.

The expedition, consisting of the "Dolphin" commanded by Wallis, and

the "Swallow" under Captain Philip Carteret, sailed in September 1766,

but the ships were separated on entering the Pacific from the Strait

of Magellan. Wallis discovered Tahiti on the 19th of June 1767, and he

gave a detailed account of that island. He returned to England in May

1768. Carteret discovered the Charlotte and Gloucester Islands, and

Pitcairn Island on the 2nd of July 1767; revisited the Santa Cruz

group, which was discovered by Mendana and Quiros; and discovered the

strait separating New Britain from New Ireland. He reached Spithead

again in February 1769. Wallis and Carteret were followed very closely

by the French expedition of Bougainville, which sailed from Nantes in

November 1766. Bougainville had first to perform the unpleasant task

of delivering up the Falkland Islands, where he had encouraged the

formation of a French settlement, to the Spaniards. He then entered

the Pacific, and reached Tahiti in April 1768. Passing through the New

Hebrides group he touched at Batavia, and arrived at St Malo after an

absence of two years and four months.

Captain Cook.

The three voyages of Captain James Cook form an era in the history of

geographical discovery. In 1767 he sailed for Tahiti, with the object

of observing the transit of Venus, accompanied by two naturalists, Sir

Joseph Banks and Dr Solander, a pupil of Linnaeus, as well as by two

astronomers. The transit was observed on the 3rd of June 1769. After

exploring Tahiti and the Society group, Cook spent six months

surveying New Zealand, which he discovered to be an island, and the

coast of New South Wales from latitude 38 deg. S. to the northern

extremity. The belief in a vast Antarctic continent stretching far

into the temperate zone had never been abandoned, and was vehemently

asserted by Charles Dalrymple, a disappointed candidate nominated by

the Royal Society for the command of the Transit expedition of 1769.

In 1772 the French explorer Yves Kerguelen de Tremarec had discovered

the land that bears his name in the South Indian Ocean without

recognizing it to be an island, and naturally believed it to be part

of the southern continent.

Cook's second voyage was mainly intended to settle the question of the

existence of such a continent once for all, and to define the limits

of any land that might exist in navigable seas towards the Antarctic

circle. James Cook at his first attempt reached a south latitude of 57

deg. 15'. On a second cruise from the Society Islands, in 1773, he,

first of all men, crossed the Antarctic circle, and was stopped by ice

in 71 deg. 10' S. During the second voyage Cook visited Easter Island,

discovered several islands of the New Hebrides and New Caledonia; and

on his way home by Cape Horn, in March 1774, he discovered the

Sandwich Island group and described South Georgia. He proved

conclusively that any southern continent that might exist lay under

the polar ice. The third voyage was intended to attempt the passage

from the Pacific to the Atlantic by the north-east. The "Resolution"

and "Discovery" sailed in 1776, and Cook again took the route by the

Cape of Good Hope. On reaching the North American coast, he proceeded

northward, fixed the position of the western extremity of America and

surveyed Bering Strait. He was stopped by the ice in 70 deg. 41' N.,

and named the farthest visible point on the American shore Icy Cape.

He then visited the Asiatic shore and discovered Cape North. Returning

to Hawaii, Cook was murdered by the natives. On the 14th of February

1779, his second, Captain Edward Clerke, took command, and proceeding

to Petropavlovsk in the following summer, he again examined the edge

of the ice, but only got as far as 70 deg. 33' N. The ships returned

to England in October 1780.

In 1785 the French government carefully fitted out an expedition of

discovery at Brest, which was placed under the command of Francois La

Perouse, an accomplished and experienced officer. After touching at

Concepcion in Chile and at Easter Island, La Perouse proceeded to

Hawaii and thence to the coast of California, of which he has given a

very interesting account. He then crossed the Pacific to Macao, and in

July 1787 he proceeded to explore the Gulf of Tartary and the shores

of Sakhalin, remaining some time at Castries Bay, so named after the

French minister of marine. Thence he went to the Kurile Islands and

Kamchatka, and sailed from the far north down the meridian to the

Navigator and Friendly Islands. He was in Botany Bay in January 1788;

and sailing thence, the explorer, his ship and crew were never seen

again. Their fate was long uncertain. In September 1791 Captain

Antoine d'Entrecasteaux sailed from Brest with two vessels to seek for

tidings. He visited the New Hebrides, Santa Cruz, New Caledonia and

Solomon Islands, and made careful though rough surveys of the

Louisiade Archipelago, islands north of New Britain and part of New

Guinea. D'Entrecasteaux died on board his ship on the 20th of July

1793, without ascertaining the fate of La Perouse. Captain Peter

Dillon at length ascertained, in 1828, that the ships of La Perouse

had been wrecked on the island of Vanikoro during a hurricane.

The work of Captain Cook bore fruit in many ways. His master, Captain

William Bligh, was sent in the "Bounty" to convey breadfruit plants

from Tahiti to the West Indies. He reached Tahiti in October 1788, and

in April 1789 a mutiny broke out, and he, with several officers and

men, was thrust into an open boat in mid-ocean. During the remarkable

voyage he then made to Timor, Bligh passed amongst the northern

islands of the New Hebrides, which he named the Banks Group, and made

several running surveys. He reached England in March 1790. The

"Pandora," under Captain Edwards, was sent out in search of the

"Bounty," and discovered the islands of Cherry and Mitre, east of the

Santa Cruz group, but she was eventually lost on a reef in Torres

Strait. In 1796-1797 Captain Wilson, in the missionary ship "Duff,"

discovered the Gambier and other islands, and rediscovered the islands

known to and seen by Quiros, but since called the Duff Group. Another

result of Captain Cook's work was the colonization of Australia. On

the 18th of January 1788 Admiral Phillip and Captain Hunter arrived in

Botany Bay in the "Supply" and "Sirius," followed by six transports,

and established a colony at Port Jackson. Surveys were then undertaken

in several directions. In 1795 and 1796 Matthew Flinders and George

Bass were engaged on exploring work in a small boat called the "Tom

Thumb." In 1797 Bass, who had been a surgeon, made an expedition

southwards, continued the work of Cook from Ram Head, and explored the

strait which bears his name, and in 1798 he and Flinders were

surveying on the east coast of Van Diemen's land.

Yet another outcome of Captain Cook's work was the voyage of George

Vancouver, who had served as a midshipman in Cook's second and third

voyages. The Spaniards under Quadra had begun a survey of

north-western America and occupied Nootka Sound, which their

government eventually agreed to surrender. Captain Vancouver was sent

out to receive the cession, and to survey the coast from Cape

Mendocino northwards. He commanded the old "Discovery," and was at

work during the seasons of 1792, 1793 and 1794, wintering at Hawaii.

Returning home in 1795, he completed his narrative and a valuable

series of charts.

Arctic regions.

The 18th century saw the Arctic coast of North America reached at two

points, as well as the first scientific attempt to reach the North

Pole. The Hudson Bay Company had been incorporated in 1670, and its

servants soon extended their operations over a wide area to the north

and west of Canada. In 1741 Captain Christopher Middleton was ordered

to solve the question of a passage from Hudson Bay to the westward.

Leaving Fort Churchill in July 1742, he discovered the Wager river and

Repulse Bay. He was followed by Captain W. Moor in 1746, and Captain

Coats in 1751, who examined the Wager Inlet up to the end. In November

1769 Samuel Hearne was sent by the Hudson Bay Company to discover the

sea on the north side of America, but was obliged to return. In

February 1770 he set out again from Fort Prince of Wales; but, after

great hardships, he was again forced to return to the fort. He started

once more in December 1771, and at length reached the Coppermine

river, which he surveyed to its mouth, but his observations are

unreliable. With the same object Alexander Mackenzie, with a party of

Canadians, set out from Fort Chippewyan on the 3rd of June 1789, and

descending the great river which now bears the explorer's name reached

the Arctic sea.

In February 1773 the Royal Society submitted a proposal to the king

for an expedition towards the North Pole. The expedition was fitted

out under Captains Constantine Phipps and Skeffington Lutwidge, and

the highest latitude reached was 80 deg. 48' N., but no opening was

discovered in the heavy Polar pack. The most important Arctic work in

the 18th century was performed by the Russians, for they succeeded in

delineating the whole of the northern coast of Siberia. Some of this

work was possibly done at a still earlier date. The Cossack Simon

Dezhneff is thought to have made a voyage, in the summer of 1648, from

the river Kolyma, through Bering Strait (which was rediscovered by

Vitus Bering in 1728) to Anadyr. Between 1738 and 1750 Manin and

Sterlegoff made their way in small sloops from the mouth of the

Yenesei as far north as 75 deg. 15' N. The land from Taimyr to Cape

Chelyuskin, the most northern extremity of Siberia, was mapped in many

years of patient exploration by Chelyuskin, who reached the extreme

point (77 deg. 34' N.) in May 1742. To the east of Cape Chelyuskin the

Russians encountered greater difficulties. They built small vessels at

Yakutsk on the Lena, 900 m. from its mouth, whence the first

expedition was despatched under Lieut. Prontschichev in 1735. He

sailed from the mouth of the Lena to the mouth of the Olonek, where he

wintered, and on the 1st of September 1736 he got as far as 77 deg.

29' N., within 5 m. of Cape Chelyuskin. Both he and his young wife

died of scurvy, and the vessel returned. A second expedition, under

Lieut. Laptyev, started from the Lena in 1739, but encountered masses

of drift ice in Chatanga bay, and with this ended the voyages to the

westward of the Lena. Several attempts were also made to navigate the

sea from the Lena to the Kolyma. In 1736 Lieut. Laptyev sailed, but

was stopped by the drift ice in August, and in 1739, during another

trial, he reached the mouth of the Indigirka, where he wintered. In

the season of 1740 he continued his voyage to beyond the Kolyma,

wintering at Nizhni Kolymsk. In September 1740 Vitus Bering sailed

from Okhotsk on a second Arctic voyage with George William Steller on

board as naturalist. In June 1741 he named the magnificent peak on the

coast of North America Mount St Elias and explored the Aleutian

Islands. In November the ship was wrecked on Bering Island; and the

gallant Dane, worn out with scurvy, died there on the 8th of December

1741. In March 1770 a merchant named Liakhov saw a large herd of

reindeer coming from the north to the Siberian coast, which induced

him to start in a sledge in the direction whence they came. Thus he

reached the New Siberian or Liakhov Islands, and for years afterwards

the seekers for fossil ivory resorted to them. The Russian Captain

Vassili Chitschakov in 1765 and 1766 made two persevering attempts to

penetrate the ice north of Spitsbergen, and reached 80 deg. 30' N.,

while Russian parties twice wintered at Bell Sound.

Geographical societies.

In reviewing the progress of geographical discovery thus far, it has

been possible to keep fairly closely to a chronological order. But in

the 19th century and after exploring work was so generally and

steadily maintained in all directions, and was in so many cases

narrowed down from long journeys to detailed surveys within relatively

small areas, that it becomes desirable to cover the whole period at

one view for certain great divisions of the world. (See AFRICA; ASIA;

AUSTRALIA; POLAR REGIONS; &c.) Here, however, may be noticed the

development of geographical societies devoted to the encouragement of

exploration and research. The first of the existing geographical

societies was that of Paris, founded in 1825 under the title of La

Societe de Geographie. The Berlin Geographical Society (Gesellschaft

fur Erdkunde) is second in order of seniority, having been founded in

1827. The Royal Geographical Society, which was founded in London in

1830, comes third on the list; but it may be viewed as a direct result

of the earlier African Association founded in 1788. Sir John Barrow,

Sir John Cam Hobhouse (Lord Broughton), Sir Roderick Murchison, Mr

Robert Brown and Mr Bartle Frere formed the foundation committee of

the Royal Geographical Society, and the first president was Lord

Goderich. The action of the society in supplying practical instruction

to intending travellers, in astronomy, surveying and the various

branches of science useful to collectors, has had much to do with

advancement of discovery. Since the war of 1870 many geographical

societies have been established on the continent of Europe. At the

close of the 19th century there were upwards of 100 such societies in

the world, with more than 50,000 members, and over 150 journals were

devoted entirely to geographical subjects.[11] The great development

of photography has been a notable aid to explorers, not only by

placing at their disposal a faithful and ready means of recording the

features of a country and the types of inhabitants, but by supplying a

method of quick and accurate topographical surveying.

THE PRINCIPLES OF GEOGRAPHY

As regards the scope of geography, the order of the various

departments and their inter-relation, there is little difference of

opinion, and the principles of geography[12] are now generally

accepted by modern geographers. The order in which the various

subjects are treated in the following sketch is the natural succession

from fundamental to dependent facts, which corresponds also to the

evolution of the diversities of the earth's crust and of its

inhabitants.

Mathematical geography.

The fundamental geographical conceptions are mathematical, the

relations of space and form. The figure and dimensions of the earth

are the first of these. They are ascertained by a combination of

actual measurement of the highest precision on the surface and angular

observations of the positions of the heavenly bodies. The science of

geodesy is part of mathematical geography, of which the arts of

surveying and cartography are applications. The motions of the earth

as a planet must be taken into account, as they render possible the

determination of position and direction by observations of the

heavenly bodies. The diurnal rotation of the earth furnishes two fixed

points or poles, the axis joining which is fixed or nearly so in its

direction in space. The rotation of the earth thus fixes the

directions of north and south and defines those of east and west. The

angle which the earth's axis makes with the plane in which the planet

revolves round the sun determines the varying seasonal distribution of

solar radiation over the surface and the mathematical zones of

climate. Another important consequence of rotation is the deviation

produced in moving bodies relatively to the surface. In the form known

as Ferrell's Law this runs: "If a body moves in any direction on the

earth's surface, there is a deflecting force which arises from the

earth's rotation which tends to deflect it to the right in the

northern hemisphere but to the left in the southern hemisphere." The

deviation is of importance in the movement of air, of ocean currents,

and to some extent of rivers.[13]

Physical geography.

In popular usage the words "physical geography" have come to mean

geography viewed from a particular standpoint rather than any special

department of the subject. The popular meaning is better conveyed by

the word physiography, a term which appears to have been introduced by

Linnaeus, and was reinvented as a substitute for the cosmography of

the middle ages by Professor Huxley. Although the term has since been

limited by some writers to one particular part of the subject, it

seems best to maintain the original and literal meaning. In the

stricter sense, physical geography is that part of geography which

involves the processes of contemporary change in the crust and the

circulation of the fluid envelopes. It thus draws upon physics for the

explanation of the phenomena with the space-relations of which it is

specially concerned. Physical geography naturally falls into three

divisions, dealing respectively with the surface of the

lithosphere--geomorphology; the hydrosphere--oceanography; and the

atmosphere--climatology. All these rest upon the facts of mathematical

geography, and the three are so closely inter-related that they cannot

be rigidly separated in any discussion.

Geomorphology.

Geomorphology is the part of geography which deals with terrestrial

relief, including the submarine as well as the subaerial portions of

the crust. The history of the origin of the various forms belongs to

geology, and can be completely studied only by geological methods. But

the relief of the crust is not a finished piece of sculpture; the

forms are for the most part transitional, owing their characteristic

outlines to the process by which they are produced; therefore the

geographer must, for strictly geographical purposes, take some account

of the processes which are now in action modifying the forms of the

crust. Opinion still differs as to the extent to which the

geographer's work should overlap that of the geologist.

The primary distinction of the forms of the crust is that between

elevations and depressions. Granting that the geoid or mean surface of

the ocean is a uniform spheroid, the distribution of land and water

approximately indicates a division of the surface of the globe into

two areas, one of elevation and one of depression. The increasing

number of measurements of the height of land in all continents and

islands, and the very detailed levellings in those countries which

have been thoroughly surveyed, enable the average elevation of the

land above sea-level to be fairly estimated, although many vast gaps

in accurate knowledge remain, and the estimate is not an exact one.

The only part of the sea-bed the configuration of which is at all well

known is the zone bordering the coasts where the depth is less than

about 100 fathoms or 200 metres, i.e. those parts which sailors speak

of as "in soundings." Actual or projected routes for telegraph cables

across the deep sea have also been sounded with extreme accuracy in

many cases; but beyond these lines of sounding the vast spaces of the

ocean remain unplumbed save for the rare researches of scientific

expeditions, such as those of the "Challenger," the "Valdivia," the

"Albatross" and the "Scotia." Thus the best approximation to the

average depth of the ocean is little more than an expert guess; yet a

fair approximation is probable for the features of sub-oceanic relief

are so much more uniform than those of the land that a smaller number

of fixed points is required to determine them.

Crustal relief.

The chief element of uncertainty as to the largest features of the

relief of the earth's crust is due to the unexplored area in the

Arctic region and the larger regions of the Antarctic, of which we

know nothing. We know that the earth's surface if unveiled of water

would exhibit a great region of elevation arranged with a certain

rough radiate symmetry round the north pole, and extending southwards

in three unequal arms which taper to points in the south. A depression

surrounds the little-known south polar region in a continuous ring and

extends northwards in three vast hollows lying between the arms of the

elevated area. So far only is it possible to speak with certainty, but

it is permissible to take a few steps into the twilight of dawning

knowledge and indicate the chief subdivisions which are likely to be

established in the great crust-hollow and the great crust-heap. The

boundary between these should obviously be the mean surface of the

sphere.

Sir John Murray deduced the mean height of the land of the globe as

about 2250 ft. above sea-level, and the mean depth of the oceans as

2080 fathoms or 12,480 ft. below sea-level.[14] Calculating the area

of the land at 55,000,000 sq. m. (or 28.6% of the surface), and that

of the oceans as 137,200,000 sq. m. (or 71.4% of the surface), he

found that the volume of the land above sea-level was 23,450,000 cub.

m., the volume of water below sea-level 323,800,000, and the total

volume of the water equal to about 1/666th of the volume of the whole

globe. From these data, as revised by A. Supan,[15] H.R. Mill

calculated the position of mean sphere-level at about 10,000 ft. or

1700 fathoms below sea-level. He showed that an imaginary spheroidal

shell, concentric with the earth and cutting the slope between the

elevated and depressed areas at the contour-line of 1700 fathoms,

would not only leave above it a volume of the crust equal to the

volume of the hollow left below it, but would also divide the surface

of the earth so that the area of the elevated region was equal to that

of the depressed region.[16]

Areas of the crust according to Murray.

A similar observation was made almost simultaneously by Romieux,[17]

who further speculated on the equilibrium between the weight of the

elevated land mass and that of the total waters of the ocean, and

deduced some interesting relations between them. Murray, as the result

of his study, divided the earth's surface into three zones--the

_continental area_ containing all dry land, the _transitional area_

including the submarine slopes down to 1000 fathoms, and the _abysmal

area_ consisting of the floor of the ocean beyond that depth; and Mill

proposed to take the line of mean-sphere level, instead of the

empirical depth of 1000 fathoms, as the boundary between the

transitional and abysmal areas.

An elaborate criticism of all the existing data regarding the volume

relations of the vertical relief of the globe was made in 1894 by

Professor Hermann Wagner, whose recalculations of volumes and mean

heights--the best results which have yet been obtained--led to the

following conclusions.[18]

Areas of the crust according to Wagner.

The area of the dry land was taken as 28.3% of the surface of the

globe, and that of the oceans as 71.7%. The mean height deduced for

the land was 2300 ft. above sea-level, the mean depth of the sea

11,500 ft. below, while the position of mean-sphere level comes out as

7500 ft. (1250 fathoms) below sea-level. From this it would appear

that 43% of the earth's surface was above and 57% below the mean

level. It must be noted, however, that since 1895 the soundings of

Nansen in the north polar area, of the "Valdivia," "Belgica," "Gauss"

and "Scotia" in the Southern Ocean, and of various surveying ships in

the North and South Pacific, have proved that the mean depth of the

ocean is considerably greater than had been supposed, and mean-sphere

level must therefore lie deeper than the calculations of 1895 show;

possibly not far from the position deduced from the freer estimate of

1888. The whole of the available data were utilized by the prince of

Monaco in 1905 in the preparation of a complete bathymetrical map of

the oceans on a uniform scale, which must long remain the standard

work for reference on ocean depths.

By the device of a hypsographic curve co-ordinating the vertical

relief and the areas of the earth's surface occupied by each zone of

elevation, according to the system introduced by Supan,[19] Wagner

showed his results graphically.

This curve with the values reduced from metres to feet is reproduced

below.

Wagner subdivides the earth's surface, according to elevation, into

the following five regions:

_Wagner's Divisions of the Earth's Crust:_

+---------------------+-----------+-------------+-------------+

| Name. |Per cent of| From | To |

| | Surface. | | |

+---------------------+-----------+-------------+-------------+

| Depressed area | 3 | Deepest. |-16,400 feet.|

| Oceanic plateau | 54 |-16,400 feet.|- 7,400 " |

| Continental slope | 9 |- 7,400 " |- 660 " |

| Continental plateau | 28 |- 660 " |+ 3,000 " |

| Culminating area | 6 |+ 3,300 " | Highest. |

+---------------------+-----------+-------------+-------------+

[Illustration]

The continental plateau might for purposes of detailed study be

divided into the _continental shelf_ from -660 ft. to sea-level, and

_lowlands_ from sea-level to +660 ft. (corresponding to the mean level

of the whole globe).[20] _Uplands_ reaching from 660 ft. to 2300 (the

approximate mean level of the land), and _highlands_, from 2300

upwards, might also be distinguished.

Arrangement of world-ridges and hollows.

A striking fact in the configuration of the crust is that each

continent, or elevated mass of the crust, is diametrically opposite to

an ocean basin or great depression; the only partial exception being

in the case of southern South America, which is antipodal to eastern

Asia. Professor C. Lapworth has generalized the grand features of

crustal relief in a scheme of attractive simplicity. He sees

throughout all the chaos of irregular crust-forms the recurrence of a

certain harmony, a succession of folds or waves which build up all the

minor features.[21] One great series of crust waves from east to west

is crossed by a second great series of crust waves from north to

south, giving rise by their interference to six great elevated masses

(the continents), arranged in three groups, each consisting of a

northern and a southern member separated by a minor depression. These

elevated masses are divided from one another by similar great

depressions.

Lapworth's fold-theory.

He says: "The surface of each of our great continental masses of land

resembles that of a long and broad arch-like form, of which we see the

simplest type in the New World. The surface of the North American arch

is sagged downwards in the middle into a central depression which lies

between two long marginal plateaus, and these plateaus are finally

crowned by the wrinkled crests which form its two modern mountain

systems. The surface of each of our ocean floors exactly resembles

that of a continent turned upside down. Taking the Atlantic as our

simplest type, we may say that the surface of an ocean basin resembles

that of a mighty trough or syncline, buckled up more or less centrally

in a medial ridge, which is bounded by two long and deep marginal

hollows, in the cores of which still deeper grooves sink to the

profoundest depths. This complementary relationship descends even to

the minor features of the two. Where the great continental sag sinks

below the ocean level, we have our gulfs and our Mediterraneans, seen

in our type continent, as the Mexican Gulf and Hudson Bay. Where the

central oceanic buckle attains the water-line we have our oceanic

islands, seen in our type ocean, as St Helena and the Azores. Although

the apparent crust-waves are neither equal in size nor symmetrical in

form, this complementary relationship between them is always

discernible. The broad Pacific depression seems to answer to the broad

elevation of the Old World--the narrow trough of the Atlantic to the

narrow continent of America."

Suess's theory.

The most thorough discussion of the great features of terrestrial

relief in the light of their origin is that by Professor E. Suess,[22]

who points out that the plan of the earth is the result of two

movements of the crust--one, subsidence over wide areas, giving rise

to oceanic depressions and leaving the continents protuberant; the

other, folding along comparatively narrow belts, giving rise to

mountain ranges. This theory of crust blocks dropped by subsidence is

opposed to Lapworth's theory of vast crust-folds, but geology is the

science which has to decide between them.

Geomorphology is concerned, however, in the suggestions which have

been made as to the cause of the distribution of heap and hollow in

the larger features of the crust. Elie de Beaumont, in his

speculations on the relation between the direction of mountain ranges

and their geological age and character, was feeling towards a

comprehensive theory of the forms of crustal relief; but his ideas

were too geometrical, and his theory that the earth is a spheroid

built up on a rhombic dodecahedron, the pentagonal faces of which

determined the direction of mountain ranges, could not be proved.[23]

The "tetrahedral theory" brought forward by Lowthian Green,[24] that

the form of the earth is a spheroid based on a regular tetrahedron, is

more serviceable, because it accounts for three very interesting facts

of the terrestrial plan--(1) the antipodal position of continents and

ocean basins; (2) the triangular outline of the continents; and (3)

the excess of sea in the southern hemisphere. Recent investigations

have recalled attention to the work of Lowthian Green, but the

question is still in the controversial stage.[25] The study of tidal

strain in the earth's crust by Sir George Darwin has led that

physicist to indicate the possibility of the triangular form and

southerly direction of the continents being a result of the

differential or tidal attraction of the sun and moon. More recently

Professor A.E.H. Love has shown that the great features of the relief

of the lithosphere may be expressed by spherical harmonics of the

first, second and third degrees, and their formation related to

gravitational action in a sphere of unequal density.[26]

In any case it is fully recognized that the plan of the earth is so

clear as to leave no doubt as to its being due to some general cause

which should be capable of detection.

The continents.

If the level of the sea were to become coincident with the mean level

of the lithosphere, there would result one tri-radiate land-mass of

nearly uniform outline and one continuous sheet of water broken by

few islands. The actual position of sea-level lies so near the summit

of the crust-heap that the varied relief of the upper portion leads to

the formation of a complicated coast-line and a great number of

detached portions of land. The hydrosphere is, in fact, continuous,

and the land is all in insular masses: the largest is the Old World of

Europe, Asia and Africa; the next in size, America; the third,

possibly, Antarctica; the fourth, Australia; the fifth, Greenland.

After this there is a considerable gap before New Guinea, Borneo,

Madagascar, Sumatra and the vast multitude of smaller islands

descending in size by regular gradations to mere rocks. The contrast

between island and mainland was natural enough in the days before the

discovery of Australia, and the mainland of the Old World was

traditionally divided into three continents. These "continents,"

"parts of the earth," or "quarters of the globe," proved to be

convenient divisions; America was added as a fourth, and subsequently

divided into two, while Australia on its discovery was classed

sometimes as a new continent, sometimes merely as an island, sometimes

compromisingly as an island-continent, according to individual

opinion. The discovery of the insularity of Greenland might again give

rise to the argument as to the distinction between island and

continent. Although the name of continent was not applied to large

portions of land for any physical reasons, it so happens that there is

a certain physical similarity or homology between them which is not

shared by the smaller islands or peninsulas.

Homology of continents.

The typical continental form is triangular as regards its sea-level

outline. The relief of the surface typically includes a central plain,

sometimes dipping below sea-level, bounded by lateral highlands or

mountain ranges, loftier on one side than on the other, the higher

enclosing a plateau shut in by mountains. South America and North

America follow this type most closely; Eurasia (the land mass of

Europe and Asia) comes next, while Africa and Australia are farther

removed from the type, and the structure of Antarctica and Greenland

is unknown.

If the continuous, unbroken, horizontal extent of land in a continent

is termed its _trunk_,[27] and the portions cut up by inlets or

channels of the sea into islands and peninsulas the _limbs_, it is

possible to compare the continents in an instructive manner.

The following table is from the statistics of Professor H. Wagner,[28]

his metric measurements being transposed into British units:

_Comparison of the Continents._

+---------------+-------+-------+-------+------+--------+------+------+

| | | | | Area | | | |

| | Area | Mean | Area |penin-| Area | Area | Area |

| | total |height,| trunk,|sulas,|islands,|limbs,|limbs,|

| | mil. | feet. | mil. | mil. | mil. | mil. | per |

| | sq. m.| | sq. m.|sq. m.| sq. m. |sq. m.| cent.|

+---------------+-------+-------+-------+------+--------+------+------+

| Old World | 35.8 | 2360 | | | | | |

| New World | 16.2 | 2230 | | | | | |

| Eurasia | 20.85 | 2620 | 15.42 | 4.09 | 1.34 | 5.43 | 26 |

| Africa | 11.46 | 2130 | 11.22 | .. | 0.24 | 0.24 | 2.1 |

| North America | 9.26 | 2300 | 6.92 | 0.78 | 1.56 | 2.34 | 25 |

| South America | 6.84 | 1970 | 6.76 | 0.02 | 0.06 | 0.08 | 1.1 |

| Australia | 3.43 | 1310 | 2.77 | 0.16 | 0.50 | 0.66 | 19 |

| Asia | 17.02 | 3120 | 12.93 | 3.05 | 1.04 | 4.09 | 24 |

| Europe | 3.83 | 980 | 2.49 | 1.04 | 0.30 | 1.34 | 35 |

+---------------+-------+-------+-------+------+--------+------+------+

Islands.

The usual classification of islands is into continental and oceanic.

The former class includes all those which rise from the continental

shelf, or show evidence in the character of their rocks of having at

one time been continuous with a neighbouring continent. The latter

rise abruptly from the oceanic abysses. Oceanic islands are divided

according to their geological character into volcanic islands and

those of organic origin, including coral islands. More elaborate

subdivisions according to structure, origin and position have been

proposed.[29] In some cases a piece of land is only an island at high

water, and by imperceptible gradation the form passes into a

peninsula. The typical peninsula is connected with the mainland by a

relatively narrow isthmus; the name is, however, extended to any limb

projecting from the trunk of the mainland, even when, as in the Indian

peninsula, it is connected by its widest part.

Coasts.

Small peninsulas are known as promontories or headlands, and the

extremity as a cape. The opposite form, an inlet of the sea, is known

when wide as a gulf, bay or bight, according to size and degree of

inflection, or as a fjord or ria when long and narrow. It is

convenient to employ a specific name for a projection of a coast-line

less pronounced than a peninsula, and for an inlet less pronounced

than a bay or bight; outcurve and incurve may serve the turn. The

varieties of coast-lines were reduced to an exact classification by

Richthofen, who grouped them according to the height and slope of the

land into cliff-coasts (_Steilkusten_)--narrow beach coasts with

cliffs, wide beach coasts with cliffs, and low coasts, subdividing

each group according as the coast-line runs parallel to or crosses the

line of strike of the mountains, or is not related to mountain

structure. A further subdivision depends on the character of the

inter-relation of land and sea along the shore producing such types as

a fjord-coast, ria-coast or lagoon-coast. This extremely elaborate

subdivision may be reduced, as Wagner points out, to three types--the

continental coast where the sea comes up to the solid rock-material of

the land; the marine coast, which is formed entirely of soft material

sorted out by the sea; and the composite coast, in which both forms

are combined.

Coast-lines.

On large-scale maps it is necessary to show two coast-lines, one for

the highest, the other for the lowest tide; but in small-scale maps a

single line is usually wider than is required to represent the whole

breadth of the inter-tidal zone. The measurement of a coast-line is

difficult, because the length will necessarily be greater when

measured on a large-scale map where minute irregularities can be taken

into account. It is usual to distinguish between the general

coast-line measured from point to point of the headlands disregarding

the smaller bays, and the detailed coast-line which takes account of

every inflection shown by the map employed, and follows up river

entrances to the point where tidal action ceases. The ratio between

these two coast-lines represents the "coastal development" of any

region.

Submarine forms.

While the forms of the sea-bed are not yet sufficiently well known to

admit of exact classification, they are recognized to be as a rule

distinct from the forms of the land, and the importance of using a

distinctive terminology is felt. Efforts have been made to arrive at a

definite international agreement on this subject, and certain terms

suggested by a committee were adopted by the Eighth International

Geographical Congress at New York in 1904.[30] The forms of the ocean

floor include the "shelf," or shallow sea margin, the "depression," a

general term applied to all submarine hollows, and the "elevation." A

depression when of great extent is termed a "basin," when it is of a

more or less round form with approximately equal diameters, a "trough"

when it is wide and elongated with gently sloping borders, and a

"trench" when narrow and elongated with steeply sloping borders, one

of which rises higher than the other. The extension of a trough or

basin penetrating the land or an elevation is termed an "embayment"

when wide, and a "gully" when long and narrow; and the deepest part of

a depression is termed a "deep." A depression of small extent when

steep-sided is termed a "caldron," and a long narrow depression

crossing a part of the continental border is termed a "furrow." An

elevation of great extent which rises at a very gentle angle from a

surrounding depression is termed a "rise," one which is relatively

narrow and steep-sided a "ridge," and one which is approximately equal

in length and breadth but steep-sided a "plateau," whether it springs

direct from a depression or from a rise. An elevation of small extent

is distinguished as a "dome" when it is more than 100 fathoms from the

surface, a "bank" when it is nearer the surface than 100 fathoms but

deeper than 6 fathoms, and a "shoal" when it comes within 6 fathoms of

the surface and so becomes a serious danger to shipping. The highest

point of an elevation is termed a "height," if it does not form an

island or one of the minor forms.

Land forms.

The forms of the dry land are of infinite variety, and have been

studied in great detail.[31] From the descriptive or topographical

point of view, geometrical form alone should be considered; but the

origin and geological structure of land forms must in many cases be

taken into account when dealing with the function they exercise in the

control of mobile distributions. The geographers who have hitherto

given most attention to the forms of the land have been trained as

geologists, and consequently there is a general tendency to make

origin or structure the basis of classification rather than form

alone.

The six elementary land forms.

The fundamental form-elements may be reduced to the six proposed by

Professor Penck as the basis of his double system of classification by

form and origin.[32] These may be looked upon as being all derived by

various modifications or arrangements of the single form-unit, the

_slope_ or inclined plane surface. No one form occurs alone, but

always grouped together with others in various ways to make up

districts, regions and lands of distinctive characters. The

form-elements are:

1. The _plain_ or gently inclined uniform surface.

2. The _scarp_ or steeply inclined slope; this is necessarily of small

extent except in the direction of its length.

3. The _valley_, composed of two lateral parallel slopes inclined

towards a narrow strip of plain at a lower level which itself slopes

downwards in the direction of its length. Many varieties of this

fundamental form may be distinguished.

4. The _mount_, composed of a surface falling away on every side from

a particular place. This place may either be a point, as in a volcanic

cone, or a line, as in a mountain range or ridge of hills.

5. The _hollow_ or form produced by a land surface sloping inwards

from all sides to a particular lowest place, the converse of a mount.

6. The _cavern_ or space entirely surrounded by a land surface.

Geology and land forms.

These forms never occur scattered haphazard over a region, but always

in an orderly subordination depending on their mode of origin. The

dominant forms result from crustal movements, the subsidiary from

secondary reactions during the action of the primitive forms on mobile

distributions. The geological structure and the mineral composition of

the rocks are often the chief causes determining the character of the

land forms of a region. Thus the scenery of a limestone country

depends on the solubility and permeability of the rocks, leading to

the typical Karst-formations of caverns, swallow-holes and underground

stream courses, with the contingent phenomena of dry valleys and

natural bridges. A sandy beach or desert owes its character to the

mobility of its constituent sand-grains, which are readily drifted and

piled up in the form of dunes. A region where volcanic activity has

led to the embedding of dykes or bosses of hard rock amongst softer

strata produces a plain broken by abrupt and isolated eminences.[33]

Classification of mountains.

It would be impracticable to go fully into the varieties of each

specific form; but, partly as an example of modern geographical

classification, partly because of the exceptional importance of

mountains amongst the features of the land, one exception may be made.

The classification of mountains into types has usually had regard

rather to geological structure than to external form, so that some

geologists would even apply the name of a mountain range to a region

not distinguished by relief from the rest of the country if it bear

geological evidence of having once been a true range. A mountain may

be described (it cannot be defined) as an elevated region of irregular

surface rising comparatively abruptly from lower ground. The actual

elevation of a summit above sea-level does not necessarily affect its

mountainous character; a gentle eminence, for instance, rising a few

hundred feet above a tableland, even if at an elevation of say 15,000

ft., could only be called a hill.[34] But it may be said that any

abrupt slope of 2000 ft. or more in vertical height may justly be

called a mountain, while abrupt slopes of lesser height may be called

hills. Existing classifications, however, do not take account of any

difference in kind between mountain and hills, although it is common

in the German language to speak of _Hugelland_, _Mittelgebirge_ and

_Hochgebirge_ with a definite significance.

The simple classification employed by Professor James Geikie[35] into

mountains of accumulation, mountains of elevation and mountains of

circumdenudation, is not considered sufficiently thorough by German

geographers, who, following Richthofen, generally adopt a

classification dependent on six primary divisions, each of which is

subdivided. The terms employed, especially for the subdivisions,

cannot be easily translated into other languages, and the English

equivalents in the following table are only put forward tentatively:--

RICHTHOFEN'S CLASSIFICATION OF MOUNTAINS[36]

I. _Tektonische Gebirge_--Tectonic mountains.

(a) _Bruchgebirge oder Schollengebirge_--Block mountains.

1. _Einseitige Schollengebirge oder Schollenrandgebirge_--

Scarp or tilted block mountains.

(i.) _Tafelscholle_--Table blocks.

(ii.) _Abrasionsscholle_--Abraded blocks.

(iii.) _Transgressionsscholle_--Blocks of unconformable

strata.

2. _Flexurgebirge_--Flexure mountains.

3. _Horstgebirge_--Symmetrical block mountains.

(b) _Faltungsgebirge_--Fold mountains.

1. _Homoomorphe Faltungsgebirge_--Homomorphic fold mountains.

2. _Heteromorphe Faltungsgebirge_--Heteromorphic fold

mountains.

II. _Rumpfgebirge oder Abrasionsgebirge_--Trunk or abraded mountains.

III. _Ausbruchsgebirge_--Eruptive mountains.

IV. _Aufschuttungsgebirge_--Mountains of accumulation.

V. _Flachboden_--Plateaux.

(a) _Abrasionsplatten_--Abraded plateaux.

(b) _Marines Flachland_--Plain of marine erosion.

(c) _Schichtungstafelland_--Horizontally stratified tableland.

(d) _Ubergusstafelland_--Lava plain.

(e) _Stromflachland_--River plain.

(f) _Flachboden der atmospharischen Aufschuttung_--Plains of

aeolian formation.

VI. _Erosionsgebirge_--Mountains of erosion.

Mountain forms.

From the morphological point of view it is more important to

distinguish the associations of forms, such as the _mountain mass_ or

group of mountains radiating from a centre, with the valleys furrowing

their flanks spreading towards every direction; the _mountain chain_

or line of heights, forming a long narrow ridge or series of ridges

separated by parallel valleys; the _dissected plateau_ or highland,

divided into mountains of circumdenudation by a system of deeply-cut

valleys; and the _isolated peak_, usually a volcanic cone or a hard

rock mass left projecting after the softer strata which embedded it

have been worn away (Monadnock of Professor Davis).

Distribution of mountains.

The geographical distribution of mountains is intimately associated

with the great structural lines of the continents of which they form

the culminating region. Lofty lines of fold mountains form the

"backbones" of North America in the Rocky Mountains and the west coast

systems, of South America in the Cordillera of the Andes, of Europe in

the Pyrenees, Alps, Carpathians and Caucasus, and of Asia in the

mountains of Asia Minor, converging on the Pamirs and diverging thence

in the Himalaya and the vast mountain systems of central and eastern

Asia. The remarkable line of volcanoes around the whole coast of the

Pacific and along the margin of the Caribbean and Mediterranean seas

is one of the most conspicuous features of the globe.

Functions of land forms.

Land waste.

Glaciers.

If land forms may be compared to organs, the part they serve in the

economy of the earth may, without straining the term, be characterized

as functions. The first and simplest function of the land surface is

that of guiding loose material to a lower level. The downward pull of

gravity suffices to bring about the fall of such material, but the

path it will follow and the distance it will travel before coming to

rest depend upon the land form. The loose material may, and in an arid

region does, consist only of portions of the higher parts of the

surface detached by the expansion and contraction produced by heating

and cooling due to radiation. Such broken material rolling down a

uniform scarp would tend to reduce its steepness by the loss of

material in the upper part and by the accumulation of a mound or scree

against the lower part of the slope. But where the side is not a

uniform scarp, but made up of a series of ridges and valleys, the

tendency will be to distribute the detritus in an irregular manner,

directing it away from one place and collecting it in great masses in

another, so that in time the land form assumes a new appearance. Snow

accumulating on the higher portions of the land, when compacted into

ice and caused to flow downwards by gravity, gives rise, on account of

its more coherent character, to continuous glaciers, which mould

themselves to the slopes down which they are guided, different

ice-streams converging to send forward a greater volume. Gradually

coming to occupy definite beds, which are deepened and polished by the

friction, they impress a characteristic appearance on the land, which

guides them as they traverse it, and, although the ice melts at lower

levels, vast quantities of clay and broken stones are brought down and

deposited in terminal moraines where the glacier ends.

Rain.

River systems.

Adjustment of rivers to land.

Rain is by far the most important of the inorganic mobile

distributions upon which land forms exercise their function of

guidance and control. The precipitation of rain from the aqueous

vapour of the atmosphere is caused in part by vertical movements of

the atmosphere involving heat changes and apparently independent of

the surface upon which precipitation occurs; but in greater part it is

dictated by the form and altitude of the land surface and the

direction of the prevailing winds, which itself is largely influenced

by the land. It is on the windward faces of the highest ground, or

just beyond the summit of less dominant heights upon the leeward side,

that most rain falls, and all that does not evaporate or percolate

into the ground is conducted back to the sea by a route which depends

only on the form of the land. More mobile and more searching than ice

or rock rubbish, the trickling drops are guided by the deepest lines

of the hillside in their incipient flow, and as these lines converge,

the stream, gaining strength, proceeds in its torrential course to

carve its channel deeper and entrench itself in permanent occupation.

Thus the stream-bed, from which at first the water might be blown away

into a new channel by a gale of wind, ultimately grows to be the

strongest line of the landscape. As the main valley deepens, the

tributary stream-beds are deepened also, and gradually cut their way

headwards, enlarging the area whence they draw their supplies. Thus

new land forms are created--valleys of curious complexity, for

example--by the "capture" and diversion of the water of one river by

another, leading to a change of watershed.[37] The minor tributaries

become more numerous and more constant, until the system of torrents

has impressed its own individuality on the mountain side. As the river

leaves the mountain, ever growing by the accession of tributaries, it

ceases, save in flood time, to be a formidable instrument of

destruction; the gentler slope of the land surface gives to it only

power sufficient to transport small stones, gravel, sand and

ultimately mud. Its valley banks are cut back by the erosion of minor

tributaries, or by rain-wash if the climate be moist, or left steep

and sharp while the river deepens its bed if the climate be arid. The

outline of the curve of a valley's sides ultimately depends on the

angle of repose of the detritus which covers them, if there has been

no subsequent change, such as the passage of a glacier along the

valley, which tends to destroy the regularity of the cross-section.

The slope of the river bed diminishes until the plain compels the

river to move slowly, swinging in _meanders_ proportioned to its size,

and gradually, controlled by the flattening land, ceasing to transport

material, but raising its banks and silting up its bed by the dropped

sediment, until, split up and shoaled, its distributaries struggle

across its delta to the sea. This is the typical river of which there

are infinite varieties, yet every variety would, if time were given,

and the land remained unchanged in level relatively to the sea,

ultimately approach to the type. Movements of the land either of

subsidence or elevation, changes in the land by the action of erosion

in cutting back an escarpment or cutting through a col, changes in

climate by affecting the rainfall and the volume of water, all tend to

throw the river valley out of harmony with the actual condition of its

stream. There is nothing more striking in geography than the

perfection of the adjustment of a great river system to its valleys

when the land has remained stable for a very lengthened period. Before

full adjustment has been attained the river bed may be broken in

places by waterfalls or interrupted by lakes; after adjustment the bed

assumes a permanent outline, the slope diminishing more and more

gradually, without a break in its symmetrical descent. Excellent

examples of the indecisive drainage of a new land surface, on which

the river system has not had time to impress itself, are to be seen in

northern Canada and in Finland, where rivers are separated by scarcely

perceptible divides, and the numerous lakes frequently belong to more

than one river system.

The geographical cycle.

The action of rivers on the land is so important that it has been made

the basis of a system of physical geography by Professor W.M. Davis,

who classifies land surfaces in terms of the three factors--structure,

process and time.[38] Of these time, during which the process is

acting on the structure, is the most important. A land may thus be

characterized by its position in the "geographical cycle", or cycle of

erosion, as young, mature or old, the last term being reached when the

base-level of erosion is attained, and the land, however varied its

relief may have been in youth or maturity, is reduced to a nearly

uniform surface or peneplain. By a re-elevation of a peneplain the

rivers of an old land surface may be restored to youthful activity,

and resume their shaping action, deepening the old valleys and

initiating new ones, starting afresh the whole course of the

geographical cycle. It is, however, not the action of the running

water on the land, but the function exercised by the land on the

running water, that is considered here to be the special province of

geography. At every stage of the geographical cycle the land forms, as

they exist at that stage, are concerned in guiding the condensation

and flow of water in certain definite ways. Thus, for example, in a

mountain range at right angles to a prevailing sea-wind, it is the

land forms which determine that one side of the range shall be richly

watered and deeply dissected by a complete system of valleys, while

the other side is dry, indefinite in its valley systems, and sends

none of its scanty drainage to the sea. The action of rain, ice and

rivers conspires with the movement of land waste to strip the layer of

soil from steep slopes as rapidly as it forms, and to cause it to

accumulate on the flat valley bottoms, on the graceful flattened cones

of alluvial fans at the outlet of the gorges of tributaries, or in the

smoothly-spread surface of alluvial plains.

The whole question of the regime of rivers and lakes is sometimes

treated under the name hydrography, a name used by some writers in the

sense of marine surveying, and by others as synonymous with

oceanography. For the study of rivers alone the name potamology[39]

has been suggested by Penck, and the subject being of much practical

importance has received a good deal of attention.[40]

Lakes and internal drainage.

The study of lakes has also been specialized under the name of

limnology (see LAKE).[41] The existence of lakes in hollows of the

land depends upon the balance between precipitation and evaporation. A

stream flowing into a hollow will tend to fill it up, and the water

will begin to escape as soon as its level rises high enough to reach

the lowest part of the rim. In the case of a large hollow in a very

dry climate the rate of evaporation may be sufficient to prevent the

water from ever rising to the lip, so that there is no outflow to the

sea, and a basin of internal drainage is the result. This is the case,

for instance, in the Caspian sea, the Aral and Balkhash lakes, the

Tarim basin, the Sahara, inner Australia, the great basin of the

United States and the Titicaca basin. These basins of internal

drainage are calculated to amount to 22% of the land surface. The

percentages of the land surface draining to the different oceans are

approximately--Atlantic, 34.3%; Arctic sea, 16.5%; Pacific, 14.4%;

Indian Ocean, 12.8%.[42]

Terminology of river systems.

The parts of a river system have not been so clearly defined as is

desirable, hence the exaggerated importance popularly attached to "the

source" of a river. A well-developed river system has in fact many

equally important and widely-separated sources, the most distant from

the mouth, the highest, or even that of largest initial volume not

being necessarily of greater geographical interest than the rest. The

whole of the land which directs drainage towards one river is known as

its basin, catchment area or drainage area--sometimes, by an incorrect

expression, as its valley or even its watershed. The boundary line

between one drainage area and others is rightly termed the watershed,

but on account of the ambiguity which has been tolerated it is better

to call it water-parting or, as in America, divide. The only other

important term which requires to be noted here is _talweg_, a word

introduced from the German into French and English, and meaning the

deepest line along the valley, which is necessarily occupied by a

stream unless the valley is dry.

The functions of land forms extend beyond the control of the

circulation of the atmosphere, the hydrosphere and the water which is

continually being interchanged between them; they are exercised with

increased effect in the higher departments of biogeography and

anthropogeography.

Biogeography.

The sum of the organic life on the globe is termed by some geographers

the biosphere, and it has been estimated that the whole mass of living

substance in existence at one time would cover the surface of the

earth to a depth of one-fifth of an inch.[43] The distribution of

living organisms is a complex problem, a function of many factors,

several of which are yet but little known. They include the biological

nature of the organism and its physical environment, the latter

involving conditions in which geographical elements, direct or

indirect, preponderate. The direct geographical elements are the

arrangement of land and sea (continents and islands standing in sharp

contrast) and the vertical relief of the globe, which interposes

barriers of a less absolute kind between portions of the same land

area or oceanic depression. The indirect geographical elements, which,

as a rule, act with and intensify the direct, are mainly climatic; the

prevailing winds, rainfall, mean and extreme temperatures of every

locality depending on the arrangement of land and sea and of land

forms. Climate thus guided affects the weathering of rocks, and so

determines the kind and arrangement of soil. Different species of

organisms come to perfection in different climates; and it may be

stated as a general rule that a species, whether of plant or animal,

once established at one point, would spread over the whole zone of the

climate congenial to it unless some barrier were interposed to its

progress. In the case of land and fresh-water organisms the sea is the

chief barrier; in the case of marine organisms, the land. Differences

in land forms do not exert great influence on the distribution of

living creatures directly, but indirectly such land forms as mountain

ranges and internal drainage basins are very potent through their

action on soil and climate. A snow-capped mountain ridge or an arid

desert forms a barrier between different forms of life which is often

more effective than an equal breadth of sea. In this way the surface

of the land is divided into numerous natural regions, the flora and

fauna of each of which include some distinctive species not shared by

the others. The distribution of life is discussed in the various

articles in this _Encyclopaedia_ dealing with biological, botanical

and zoological subjects.[44]

Floral zones.

The classification of the land surface into areas inhabited by

distinctive groups of plants has been attempted by many

phyto-geographers, but without resulting in any scheme of general

acceptance. The simplest classification is perhaps that of Drude

according to climatic zones, subdivided according to continents. This

takes account of--(1) the _Arctic-Alpine_ zone, including all the

vegetation of the region bordering on perpetual snow; (2) the _Boreal_

zone, including the temperate lands of North America, Europe and Asia,

all of which are substantially alike in botanical character; (3) the

_Tropical_ zone, divided sharply into (a) the tropical zone of the New

World, and (b) the tropical zone of the Old World, the forms of which

differ in a significant degree; (4) the _Austral_ zone, comprising all

continental land south of the equator, and sharply divided into three

regions the floras of which are strikingly distinct--(a) South

American, (b) South African and (c) Australian; (5) the _Oceanic_,

comprising all oceanic islands, the flora of which consists

exclusively of forms whose seeds could be drifted undestroyed by ocean

currents or carried by birds. To these might be added the antarctic,

which is still very imperfectly known. Many subdivisions and

transitional zones have been suggested by different authors.

Vegetation areas.

From the point of view of the economy of the globe this classification

by species is perhaps less important than that by mode of life and

physiological character in accordance with environment. The following

are the chief areas of vegetational activity usually recognized: (1)

The ice-deserts of the arctic and antarctic and the highest mountain

regions, where there is no vegetation except the lowest forms, like

that which causes "red snow." (2) The tundra or region of intensely

cold winters, forbidding tree-growth, where mosses and lichens cover

most of the ground when unfrozen, and shrubs occur of species which in

other conditions are trees, here stunted to the height of a few

inches. A similar zone surrounds the permanent snow on lofty mountains

in all latitudes. The tundra passes by imperceptible gradations into

the moor, bog and heath of warmer climates. (3) The temperate forests

of evergreen or deciduous trees, according to circumstances, which

occupy those parts of both temperate zones where rainfall and sunlight

are both abundant. (4) The grassy steppes or prairies where the

rainfall is diminished and temperatures are extreme, and grass is the

prevailing form of vegetation. These pass imperceptibly into--(5) the

arid desert, where rainfall is at a minimum, and the only plants are

those modified to subsist with the smallest supply of water. (6) The

tropical forest, which represents the maximum of plant luxuriance,

stimulated by the heaviest rainfall, greatest heat and strongest

light. These divisions merge one into the other, and admit of almost

indefinite subdivision, while they are subject to great modifications

by human interference in clearing and cultivating. Plants exhibit the

controlling power of environment to a high degree, and thus vegetation

is usually in close adjustment to the bolder geographical features of

a region.

Faunal realms.

The divisions of the earth into faunal regions by Dr P.L. Sclater have

been found to hold good for a large number of groups of animals as

different in their mode of life as birds and mammals, and they may

thus be accepted as based on nature. They are six in number: (1)

_Palaearctic_, including Europe, Asia north of the Himalaya, and

Africa north of the Sahara; (2) _Ethiopian_, consisting of Africa

south of the Atlas range, and Madagascar; (3) _Oriental_, including

India, Indo-China and the Malay Archipelago north of Wallace's line,

which runs between Bali and Lombok; (4) _Australian_, including

Australia, New Zealand, New Guinea and Polynesia; (5) _Nearctic_ or

North America, north of Mexico; and (6) _Neotropical_ or South

America. Each of these divisions is the home of a special fauna, many

species of which are confined to it alone; in the Australian region,

indeed, practically the whole fauna is peculiar and distinctive,

suggesting a prolonged period of complete biological isolation. In

some cases, such as the Ethiopian and Neotropical and the Palaearctic

and Nearctic regions, the faunas, although distinct, are related,

several forms on opposite sides of the Atlantic being analogous, e.g.

the lion and puma, ostrich and rhea. Where two of the faunal realms

meet there is usually, though not always, a mixing of faunas. These

facts have led some naturalists to include the Palaearctic and

Nearctic regions in one, termed _Holarctic_, and to suggest

transitional regions, such as the _Sonoran_, between North and South

America, and the _Mediterranean_, between Europe and Africa, or to

create sub-regions, such as Madagascar and New Zealand. Oceanic

islands have, as a rule, distinctive faunas and floras which resemble,

but are not identical with, those of other islands in similar

positions.

Biological distribution as a means of geographical research.

The study of the evolution of faunas and the comparison of the faunas

of distant regions have furnished a trustworthy instrument of

pre-historic geographical research, which enables earlier geographical

relations of land and sea to be traced out, and the approximate

period, or at least the chronological order of the larger changes, to

be estimated. In this way, for example, it has been suggested that a

land, "Lemuria," once connected Madagascar with the Malay Archipelago,

and that a northern extension of the antarctic land once united the

three southern continents.

The distribution of fossils frequently makes it possible to map out

approximately the general features of land and sea in long-past

geological periods, and so to enable the history of crustal relief to

be traced.[45]

Reaction of organisms on environment.

While the tendency is for the living forms to come into harmony with

their environment and to approach the state of equilibrium by

successive adjustments if the environment should happen to change, it

is to be observed that the action of organisms themselves often tends

to change their environment. Corals and other quick-growing calcareous

marine organisms are the most powerful in this respect by creating new

land in the ocean. Vegetation of all sorts acts in a similar way,

either in forming soil and assisting in breaking up rocks, in filling

up shallow lakes, and even, like the mangrove, in reclaiming wide

stretches of land from the sea. Plant life, utilizing solar light to

combine the inorganic elements of water, soil and air into living

substance, is the basis of all animal life. This is not by the supply

of food alone, but also by the withdrawal of carbonic acid from the

atmosphere, by which vegetation maintains the composition of the air

in a state fit for the support of animal life. Man in the primitive

stages of culture is scarcely to be distinguished from other animals

as regards his subjection to environment, but in the higher grades of

culture the conditions of control and reaction become much more

complicated, and the department of anthropogeography is devoted to

their consideration.

Anthropogeography.

The first requisites of all human beings are food and protection, in

their search for which men are brought into intimate relations with

the forms and productions of the earth's surface. The degree of

dependence of any people upon environment varies inversely as the

degree of culture or civilization, which for this purpose may perhaps

be defined as the power of an individual to exercise control over the

individual and over the environment for the benefit of the community.

The development of culture is to a certain extent a question of race,

and although forming one species, the varieties of man differ in

almost imperceptible gradations with a complexity defying

classification (see ANTHROPOLOGY). Professor Keane groups man round

four leading types, which may be named the black, yellow, red and

white, or the Ethiopic, Mongolic, American and Caucasic. Each may be

subdivided, though not with great exactness, into smaller groups,

either according to physical characteristics, of which the form of the

head is most important, or according to language.

Types of man.

The black type is found only in tropical or sub-tropical countries,

and is usually in a primitive condition of culture, unless educated by

contact with people of the white type. They follow the most primitive

forms of religion (mainly fetishism), live on products of the woods or

of the chase, with the minimum of work, and have only a loose

political organization. The red type is peculiar to America,

inhabiting every climate from polar to equatorial, and containing

representatives of many stages of culture which had apparently

developed without the aid or interference of people of any other race

until the close of the 15th century. The yellow type is capable of a

higher culture, cherishes higher religious beliefs, and inhabits as a

rule the temperate zone, although extending to the tropics on one side

and to the arctic regions on the other. The white type, originating in

the north temperate zone, has spread over the whole world. They have

attained the highest culture, profess the purest forms of monotheistic

religion, and have brought all the people of the black type and many

of those of the yellow under their domination.

The contrast between the yellow and white types has been softened by

the remarkable development of the Japanese following the assimilation

of western methods.

The actual number of human inhabitants in the world has been

calculated as follows:

By Continents.[46]

Asia 875,000,000

Europe 392,000,000

Africa 170,000,000

America 143,000,000

Australia and Polynesia 7,000,000

-------------

Total 1,587,000,000

By Race.[47]

White (Caucasic) 770,000,000

Yellow (Mong.) 540,000,000

Black (Ethiopic) 175,000,000

Red (American) 22,000,000

-------------

Total 1,507,000,000

In round numbers the population of the world is about 1,600,000,000,

and, according to an estimate by Ravenstein,[48] the maximum

population which it will be possible for the earth to maintain is 6000

millions, a number which, if the average rate of increase in 1891

continued, would be reached within 200 years.

While highly civilized communities are able to evade many of the

restrictions of environment, to overcome the barriers to

intercommunication interposed by land or sea, to counteract the

adverse influence of climate, and by the development of trade even to

inhabit countries which cannot yield a food-supply, the mass of

mankind is still completely under the control of those conditions

which in the past determined the distribution and the mode of life of

the whole human race.

Influence of environment on man.

In tropical forests primitive tribes depend on the collection of wild

fruits, and in a minor degree on the chase of wild animals, for their

food. Clothing is unnecessary; hence there is little occasion for

exercising the mental faculties beyond the sense of perception to

avoid enemies, or the inventive arts beyond what is required for the

simplest weapons and the most primitive fortifications. When the

pursuit of game becomes the chief occupation of a people there is of

necessity a higher development of courage, skill, powers of

observation and invention; and these qualities are still further

enhanced in predatory tribes who take by force the food, clothing and

other property prepared or collected by a feebler people. The

fruit-eating savage cannot stray beyond his woods which bound his life

as the water bounds that of a fish; the hunter is free to live on the

margin of forests or in open country, while the robber or warrior from

some natural stronghold of the mountains sweeps over the adjacent

plains and carries his raids into distant lands. Wide grassy steppes

lead to the organization of the people as nomads whose wealth consists

in flocks and herds, and their dwellings are tents. The nomad not only

domesticates and turns to his own use the gentler and more powerful

animals, such as sheep, cattle, horses, camels, but even turns some

predatory creatures, like the dog, into a means of defending their

natural prey. They hunt the beasts of prey destructive to their

flocks, and form armed bands for protection against marauders or for

purposes of aggression on weaker sedentary neighbours. On the fertile

low grounds along the margins of rivers or in clearings of forests,

agricultural communities naturally take their rise, dwelling in

villages and cultivating the wild grains, which by careful nurture and

selection have been turned into rich cereals. The agriculturist as a

rule is rooted to the soil. The land he tills he holds, and acquires a

closer connexion with a particular patch of ground than either the

hunter or the herdsman. In the temperate zone, where the seasons are

sharply contrasted, but follow each other with regularity, foresight

and self-denial were fostered, because if men did not exercise these

qualities seed-time or harvest might pass into lost opportunities and

the tribes would suffer. The more extreme climates of arid regions on

the margins of the tropics, by the unpredictable succession of

droughts and floods, confound the prevision of uninstructed people,

and make prudence and industry qualities too uncertain in their

results to be worth cultivating. Thus the civilization of agricultural

peoples of the temperate zone grew rapidly, yet in each community a

special type arose adapted to the soil, the crop and the climate. On

the seashore fishing naturally became a means of livelihood, and

dwellers by the sea, in virtue of the dangers to which they are

exposed from storm and unseaworthy craft, are stimulated to a higher

degree of foresight, quicker observation, prompter decision and more

energetic action in emergencies than those who live inland. The

building and handling of vessels also, and the utilization of such

uncontrollable powers of nature as wind and tide, helped forward

mechanical invention. To every type of coast there may be related a

special type of occupation and even of character; the deep and gloomy

fjord, backed by almost impassable mountains, bred bold mariners whose

only outlet for enterprise was seawards towards other lands--the

_viks_ created the vikings. On the gently sloping margin of the

estuary of a great river a view of tranquil inland life was equally

presented to the shore-dweller, and the ocean did not present the only

prospect of a career. Finally the mountain valley, with its patches of

cultivable soil on the alluvial fans of tributary torrents, its narrow

pastures on the uplands only left clear of snow in summer, its

intensified extremes of climates and its isolation, almost equal to

that of an island, has in all countries produced a special type of

brave and hardy people, whose utmost effort may bring them comfort,

but not wealth, by honest toil, who know little of the outer world,

and to whom the natural outlet for ambition is marauding on the

fertile plains. The highlander and viking, products of the valleys

raised high amid the mountains or half-drowned in the sea, are

everywhere of kindred spirit.

It is in some such manner as these that the natural conditions of

regions, which must be conformed to by prudence and utilized by labour

to yield shelter and food, have led to the growth of peoples differing

in their ways of life, thought and speech. The initial differences so

produced are confirmed and perpetuated by the same barriers which

divide the faunal or floral regions, the sea, mountains, deserts and

the like, and much of the course of past history and present politics

becomes clear when the combined results of differing race and

differing environment are taken into account.[49]

Density of population.

The specialization which accompanies the division of labour has

important geographical consequences, for it necessitates communication

between communities and the interchange of their products. Trade

makes it possible to work mineral resources in localities where food

can only be grown with great difficulty and expense, or which are even

totally barren and waterless, entirely dependent on supplies from

distant sources.

The population which can be permanently supported by a given area of

land differs greatly according to the nature of the resources and the

requirements of the people. Pastoral communities are always scattered

very thinly over large areas; agricultural populations may be almost

equally sparse where advanced methods of agriculture and labour-saving

machinery are employed; but where a frugal people are situated on a

fertile and inexhaustible soil, such as the deltas and river plains of

Egypt, India and China, an enormous population may be supported on a

small area. In most cases, however, a very dense population can only

be maintained in regions where mineral resources have fixed the site

of great manufacturing industries. The maximum density of population

which a given region can support is very difficult to determine; it

depends partly on the race and standard of culture of the people,

partly on the nature and origin of the resources on which they depend,

partly on the artificial burdens imposed and very largely on the

climate. Density of population is measured by the average number of

people residing on a unit of area; but in order to compare one part of

the world with another the average should, strictly speaking, be taken

for regions of equal size or of equal population; and the portions of

the country which are permanently uninhabitable ought to be excluded

from the calculation.[50] Considering the average density of

population within the political limits of countries, the following

list is of some value; the figures for a few smaller divisions of

large countries are added (in brackets) for comparison:

_Average Population on 1 sq. m._ (_For 1900 or 1901._)

+--------------------+---------+-------------------+---------+

| Country. | Density | Country. | Density |

| | of pop. | | of pop. |

+--------------------+---------+-------------------+---------+

| (Saxony) | 743* | Ceylon | 141** |

| Belgium | 589* | Greece | 97 |

| Java | 568** | European Turkey | 90 |

| (England and Wales)| 558 | Spain | 97 |

| (Bengal) | 495** | European Russia | 55** |

| Holland | 436 | Sweden | 30 |

| United Kingdom | 344 | United States | 25 |

| Japan | 317 | Mexico | 18 |

| Italy | 293 | Norway | 18 |

| China proper | 270** | Persia | 15 |

| German Empire | 270 | New Zealand | 7 |

| Austria | 226 | Argentina | 5 |

| Switzerland | 207 | Brazil | 4.5 |

| France | 188 | Eastern States of | |

| Indian Empire | 167** | Australia | 3 |

| Denmark | 160** | Dominion of Canada| 1.5 |

| Hungary | 154** | Siberia | 1 |

| Portugal | 146 | West Australia | 0.2 |

+--------------------+---------+-------------------+---------+

* Almost exclusively industrial.

** Almost exclusively agricultural.

Migration.

The movement of people from one place to another without the immediate

intention of returning is known as migration, and according to its

origin it may be classed as centrifugal (directed _from_ a particular

area) and centripetal (directed _towards_ a particular area).

Centrifugal migration is usually a matter of compulsion; it may be

necessitated by natural causes, such as a change of climate leading to

the withering of pastures or destruction of agricultural land, to

inundation, earthquake, pestilence or to an excess of population over

means of support; or to artificial causes, such as the wholesale

deportation of a conquered people; or to political or religious

persecution. In any case the people are driven out by some adverse

change; and when the urgency is great they may require to drive out in

turn weaker people who occupy a desirable territory, thus propagating

the wave of migration, the direction of which is guided by the forms

of the land into inevitable channels. Many of the great historic

movements of peoples were doubtless due to the gradual change of

geographical or climatic conditions; and the slow desiccation of

Central Asia has been plausibly suggested as the real cause of the

peopling of modern Europe and of the medieval wars of the Old World,

the theatres of which were critical points on the great natural lines

of communication between east and west.

In the case of centripetal migrations people flock to some particular

place where exceptionally favourable conditions have been found to

exist. The rushes to gold-fields and diamond-fields are typical

instances; the growth of towns on coal-fields and near other sources

of power, and the rapid settlement of such rich agricultural districts

as the wheat-lands of the American prairies and great plains are other

examples.

There is, however, a tendency for people to remain rooted to the land

of their birth, when not compelled or induced by powerful external

causes to seek a new home.

Political geography.

Thus arises the spirit of patriotism, a product of purely geographical

conditions, thereby differing from the sentiment of loyalty, which is

of racial origin. Where race and soil conspire to evoke both loyalty

and patriotism in a people, the moral qualities of a great and

permanent nation are secured. It is noticeable that the patriotic

spirit is strongest in those places where people are brought most

intimately into relation with the land; dwellers in the mountain or by

the sea, and, above all, the people of rugged coasts and mountainous

archipelagoes, have always been renowned for love of country, while

the inhabitants of fertile plains and trading communities are

frequently less strongly attached to their own land.

Amongst nomads the tribe is the unit of government, the political bond

is personal, and there is no definite territorial association of the

people, who may be loyal but cannot be patriotic. The idea of a

country arises only when a nation, either homogeneous or composed of

several races, establishes itself in a region the boundaries of which

may be defined and defended against aggression from without. Political

geography takes account of the partition of the earth amongst

organized communities, dealing with the relation of races to regions,

and of nations to countries, and considering the conditions of

territorial equilibrium and instability.

Boundaries.

The definition of boundaries and their delimitation is one of the most

important parts of political geography. Natural boundaries are always

the most definite and the strongest, lending themselves most readily

to defence against aggression. The sea is the most effective of all,

and an island state is recognized as the most stable. Next in

importance comes a mountain range, but here there is often difficulty

as to the definition of the actual crest-line, and mountain ranges

being broad regions, it may happen that a small independent state,

like Switzerland or Andorra, occupies the mountain valleys between two

or more great countries. Rivers do not form effective international

boundaries, although between dependent self-governing communities they

are convenient lines of demarcation. A desert, or a belt of country

left purposely without inhabitants, like the mark, marches or

debatable lands of the middle ages, was once a common means of

separating nations which nourished hereditary grievances. The

"buffer-state" of modern diplomacy is of the same ineffectual type. A

less definite though very practical boundary is that formed by the

meeting-line of two languages, or the districts inhabited by two

races. The line of fortresses protecting Austria from Italy lies in

some places well back from the political boundary, but just inside the

linguistic frontier, so as to separate the German and Italian races

occupying Austrian territory. Arbitrary lines, either traced from

point to point and marked by posts on the ground, or defined as

portions of meridians and parallels, are now the most common type of

boundaries fixed by treaty. In Europe and Asia frontiers are usually

strongly fortified and strictly watched in times of peace as well as

during war. In South America strictly defined boundaries are still the

exception, and the claims of neighbouring nations have very frequently

given rise to war, though now more commonly to arbitration.[51]

Forms of government.

The modes of government amongst civilized peoples have little

influence on political geography; some republics are as arbitrary and

exacting in their frontier regulations as some absolute monarchies. It

is, however, to be noticed that absolute monarchies are confined to

the east of Europe and to Asia, Japan being the only established

constitutional monarchy east of the Carpathians. Limited monarchies

are (with the exception of Japan) peculiar to Europe, and in these the

degree of democratic control may be said to diminish as one passes

eastwards from the United Kingdom. Republics, although represented in

Europe, are the peculiar form of government of America and are unknown

in Asia.

The forms of government of colonies present a series of transitional

types from the autocratic administration of a governor appointed by

the home government to complete democratic self-government. The latter

occurs only in the temperate possessions of the British empire, in

which there is no great preponderance of a coloured native population.

New colonial forms have been developed during the partition of Africa

amongst European powers, the sphere of influence being especially

worthy of notice. This is a vaguer form of control than a

protectorate, and frequently amounts merely to an agreement amongst

civilized powers to respect the right of one of their number to

exercise government within a certain area, if it should decide to do

so at any future time.

The central governments of all civilized countries concerned with

external relations are closely similar in their modes of action, but

the internal administration may be very varied. In this respect a

country is either centralized, like the United Kingdom or France, or

federated of distinct self-governing units like Germany (where the

units include kingdoms, at least three minor types of monarchies,

municipalities and a crown land under a nominated governor), or the

United States, where the units are democratic republics. The ultimate

cause of the predominant form of federal government may be the

geographical diversity of the country, as in the cantons occupying the

once isolated mountain valleys of Switzerland, the racial diversity of

the people, as in Austria-Hungary, or merely political expediency, as

in republics of the American type.

The minor subdivisions into provinces, counties and parishes, or

analogous areas, may also be related in many cases to natural features

or racial differences perpetuated by historical causes. The

territorial divisions and subdivisions often survive the conditions

which led to their origin; hence the study of political geography is

allied to history as closely as the study of physical geography is

allied to geology, and for the same reason.

Towns.

The aggregation of population in towns was at one time mainly brought

about by the necessity for defence, a fact indicated by the defensive

sites of many old towns. In later times, towns have been more often

founded in proximity to valuable mineral resources, and at critical

points or nodes on lines of communication. These are places where the

mode of travelling or of transport is changed, such as seaports, river

ports and railway termini, or natural resting-places, such as a ford,

the foot of a steep ascent on a road, the entrance of a valley leading

up from a plain into the mountains, or a crossing-place of roads or

railways.[52] The existence of a good natural harbour is often

sufficient to give origin to a town and to fix one end of a line of

land communication.

Lines of communication.

In countries of uniform surface or faint relief, roads and railways

may be constructed in any direction without regard to the

configuration. In places where the low ground is marshy, roads and

railways often follow the ridge-lines of hills, or, as in Finland, the

old glacial eskers, which run parallel to the shore. Wherever the

relief of the land is pronounced, roads and railways are obliged to

occupy the lowest ground winding along the valleys of rivers and

through passes in the mountains. In exceptional cases obstructions

which it would be impossible or too costly to turn are overcome by a

bridge or tunnel, the magnitude of such works increasing with the

growth of engineering skill and financial enterprise. Similarly the

obstructions offered to water communication by interruption through

land or shallows are overcome by cutting canals or dredging out

channels. The economy and success of most lines of communication

depend on following as far as possible existing natural lines and

utilizing existing natural sources of power.[53]

Commercial geography.

Commercial geography may be defined as the description of the earth's

surface with special reference to the discovery, production, transport

and exchange of commodities. The transport concerns land routes and

sea routes, the latter being the more important. While steam has been

said to make a ship independent of wind and tide, it is still true

that a long voyage even by steam must be planned so as to encounter

the least resistance possible from prevailing winds and permanent

currents, and this involves the application of oceanographical and

meteorological knowledge. The older navigation by utilizing the power

of the wind demands a very intimate knowledge of these conditions, and

it is probable that a revival of sailing ships may in the present

century vastly increase the importance of the study of maritime

meteorology.

The discovery and production of commodities require a knowledge of the

distribution of geological formations for mineral products, of the

natural distribution, life-conditions and cultivation or breeding of

plants and animals and of the labour market. Attention must also be

paid to the artificial restrictions of political geography, to the

legislative restrictions bearing on labour and trade as imposed in

different countries, and, above all, to the incessant fluctuations of

the economic conditions of supply and demand and the combinations of

capitalists or workers which affect the market.[54] The term "applied

geography" has been employed to designate commercial geography, the

fact being that every aspect of scientific geography may be applied to

practical purposes, including the purposes of trade. But apart from

the applied science, there is an aspect of pure geography which

concerns the theory of the relation of economics to the surface of the

earth.

Conclusion.

It will be seen that as each successive aspect of geographical science

is considered in its natural sequence the conditions become more

numerous, complex, variable and practically important. From the

underlying abstract mathematical considerations all through the

superimposed physical, biological, anthropological, political and

commercial development of the subject runs the determining control

exercised by crust-forms acting directly or indirectly on mobile

distributions; and this is the essential principle of geography.

(H. R. M.)

FOOTNOTES:

[1] A concise sketch of the whole history of geographical method or

theory as distinguished from the history of geographical discovery

(see later section of this article) is only to be found in the

introduction to H. Wagner's _Lehrbuch der Geographie_, vol. i.

(Leipzig, 1900), which is in every way the most complete treatise on

the principles of geography.

[2] _History of Ancient Geography_ (Cambridge, 1897), p. 70.

[3] See J.L. Myres, "An Attempt to reconstruct the Maps used by

Herodotus," _Geographical Journal_, viii. (1896), p. 605.

[4] _Geschichte der wissenschaftlichen Erdkunde der Griechen_

(Leipzig, 1891), Abt. 3, p. 60.

[5] Bunbury's _History of Ancient Geography_ (2 vols., London, 1879),

Muller's _Geographi Graeci minores_ (2 vols., Paris, 1855, 1861) and

Berger's _Geschichte der wissenschaftlichen Erdkunde der Griechen_ (4

vols., Leipzig, 1887-1893) are standard authorities on the Greek

geographers.

[6] The period of the early middle ages is dealt with in Beazley's

_Dawn of Modern Geography_ (London; part i., 1897; part ii., 1901;

part iii., 1906); see also Winstedt, _Cosmos Indicopleustes_ (1910).

[7] From translator's preface to the English version by Mr Dugdale

(1733), entitled _A Complete System of General Geography_, revised by

Dr Peter Shaw (London, 1756).

[8] Printed in _Schriften zur physischen Geographie_, vol. vi. of

Schubert's edition of the collected works of Kant (Leipzig, 1839).

First published with notes by Rink in 1802.

[9] _History of Civilization_, vol. i. (1857).

[10] See H.J. Mackinder in _British Association Report_ (Ipswich),

1895, p. 738, for a summary of German opinion, which has been

expressed by many writers in a somewhat voluminous literature.

[11] H. Wagner's year-book, _Geographische Jahrbuch_, published at

Gotha, is the best systematic record of the progress of geography in

all departments; and Haack's _Geographen Kalender_, also published

annually at Gotha, gives complete lists of the geographical societies

and geographers of the world.

[12] This phrase is old, appearing in one of the earliest English

works on geography, William Cuningham's _Cosmographical Glasse

conteinyng the pleasant Principles of Cosmographie, Geographie,

Hydrographie or Navigation_ (London, 1559).

[13] See also S. Gunther, _Handbuch der mathematischen Geographie_

(Stuttgart, 1890).

[14] "On the Height of the Land and the Depth of the Ocean," _Scot.

Geog. Mag._ iv. (1888), p. 1. Estimates had been made previously by

Humboldt, De Lapparent, H. Wagner, and subsequently by Penck and

Heiderich, and for the oceans by Karstens.

[15] _Petermanns Mitteilungen_, xxv. (1889), p. 17.

[16] _Proc. Roy. Soc. Edin._ xvii. (1890) p. 185.

[17] _Comptes rendus Acad. Sci._ (Paris, 1890), vol. iii. p. 994.

[18] "Areal und mittlere Erhebung der Landflachen sowie der

Erdkruste" in Gerland's _Beitrage zur Geophysik_, ii. (1895) p. 667.

See also _Nature_, 54 (1896), p. 112.

[19] _Petermanns Mitteilungen_, xxxv. (1889) p. 19.

[20] The areas of the continental shelf and lowlands are

approximately equal, and it is an interesting circumstance that,

taken as a whole, the actual coast-line comes just midway on the most

nearly level belt of the earth's surface, excepting the ocean floor.

The configuration of the continental slope has been treated in detail

by Nansen in _Scientific Results of Norwegian North Polar

Expedition_, vol. iv. (1904), where full references to the literature

of the subject will be found.

[21] _British Association Report_ (Edinburgh, 1892), p. 699.

[22] _Das Antlitz der Erde_ (4 vols., Leipzig, 1885, 1888, 1901).

Translated under the editorship of E. de Margerie, with much

additional matter, as _La Face de la terre_, vols. i. and ii. (Paris,

1897, 1900), and into English by Dr Hertha Sollas as _The Face of the

Earth_, vols. i. and ii. (Oxford, 1904, 1906).

[23] Elie de Beaumont, _Notice sur les systemes de montagnes_ (3

vols., Paris, 1852).

[24] _Vestiges of the Molten Globe_ (London, 1875).

[25] See J.W. Gregory, "The Plan of the Earth and its Causes," _Geog.

Journal_, xiii. (1899) p. 225; Lord Avebury, _ibid._ xv. (1900) p.

46; Marcel Bertrand, "Deformation tetraedrique de la terre et

deplacement du pole," _Comptes rendus Acad. Sci._ (Paris, 1900), vol.

cxxx. p. 449; and A. de Lapparent, _ibid._ p. 614.

[26] See A.E.H. Love, "Gravitational Stability of the Earth," _Phil.

Trans._ ser. A. vol. ccvii. (1907) p. 171.

[27] _Rumpf_, in German, the language in which this distinction was

first made.

[28] _Lehrbuch der Geographie_ (Hanover and Leipzig, 1900), Bd. i. S.

245, 249.

[29] See, for example, F.G. Hahn's _Insel-Studien_ (Leipzig, 1883).

[30] See _Geographical Journal_, xxii. (1903) pp. 191-194.

[31] The most important works on the classification of land forms are

F. von Richthofen, _Fuhrer fur Forschungsreisende_ (Berlin, 1886); G.

de la Noe and E. de Margerie, _Les Formes du terrain_ (Paris, 1888);

and above all A. Penck, _Morphologie der Erdoberflache_ (2 vols.,

Stuttgart, 1894). Compare also A. de Lapparent, _Lecons de geographie

physique_ (2nd ed., Paris, 1898), and W.M. Davis, _Physical

Geography_ (Boston, 1899).

[32] "Geomorphologie als genetische Wissenschaft," in _Report of

Sixth International Geog. Congress_ (London, 1895), p. 735 (English

Abstract, p. 748).

[33] On this subject see J. Geikie, _Earth Sculpture_ (London, 1898);

J.E. Marr, _The Scientific Study of Scenery_ (London, 1900); Sir A.

Geikie, _The Scenery and Geology of Scotland_ (London, 2nd ed.,

1887); Lord Avebury (Sir J. Lubbock), _The Scenery of Switzerland_

(London, 1896) and _The Scenery of England_ (London, 1902).

[34] Some geographers distinguish a mountain from a hill by origin;

thus Professor Seeley says "a mountain implies elevation and a hill

implies denudation, but the external forms of both are often

identical." _Report VI. Int. Geog. Congress_ (London, 1895), p. 751.

[35] "Mountains," in _Scot. Geog. Mag._ ii. (1896) p. 145.

[36] _Fuhrer fur Forschungsreisende_, pp. 652-685.

[37] See, for a summary of river-action, A. Phillipson, _Studien uber

Wasserscheiden_ (Leipzig, 1886); also I.C. Russell, _River

Development_, (London, 1898) (published as _The Rivers of North

America_, New York, 1898).

[38] W.M. Davis, "The Geographical Cycle," _Geog. Journ._ xiv. (1899)

p. 484.

[39] A. Penck, "Potamology as a Branch of Physical Geography," _Geog.

Journ._ x. (1897) p. 619.

[40] See, for instance, E. Wisotzki, _Hauptfluss und Nebenfluss_

(Stettin, 1889). For practical studies see official reports on the

Mississippi, Rhine, Seine, Elbe and other great rivers.

[41] F.A. Forel, _Handbuch der Seenkunde: allgemeine Limnologie_

(Stuttgart, 1901); F.A. Forel, "La Limnologie, branche de la

geographie," _Report VI. Int. Geog. Congress_ (London, 1895), p. 593;

also _Le Leman_ (2 vols., Lausanne, 1892, 1894); H. Lullies, "Studien

uber Seen," _Jubilaumsschrift der Albertus-Universitat_ (Konigsberg,

1894); and G.R. Credner, "Die Reliktenseen," _Petermanns

Mitteilungen_, Erganzungshefte 86 and 89 (Gotha., 1887, 1888).

[42] J. Murray, "Drainage Areas of the Continents," _Scot. Geog.

Mag._ ii. (1886) p. 548.

[43] Wagner, _Lehrbuch der Geographie_ (1900), i. 586.

[44] For details, see A.R. Wallace, _Geographical Distribution of

Animals and Island Life_; A. Heilprin, _Geographical and Geological

Distribution of Animals_ (1887); O. Drude, _Handbuch der

Pflanzengeographie_; A. Engler, _Entwickelungsgeschichte der

Pflanzenwelt_; also Beddard, _Zoogeography_ (Cambridge, 1895); and

Sclater, _The Geography of Mammals_ (London, 1899).

[45] See particularly A. de Lapparent, _Traite de geologie_ (4th ed.,

Paris, 1900).

[46] Estimate for 1900. H. Wagner, _Lehrbuch der Geographie_, i. P.

658.

[47] Estimate for year not stated. A.H. Keane in _International

Geography_, p. 108.

[48] In _Proc. R. G. S._ xiii. (1891) p. 27.

[49] On the influence of land on people see Shaler, _Nature and Man

in America_ (New York and London, 1892); and Ellen C. Semple's

_American History and its Geographic Conditions_ (Boston, 1903).

[50] See maps of density of population in Bartholomew's great

large-scale atlases, _Atlas of Scotland_ and _Atlas of England_.

[51] For the history of territorial changes in Europe, see Freeman,

_Historical Geography of Europe_, edited by Bury (Oxford), 1903; and

for the official definition of existing boundaries, see Hertslet,

_The Map of Europe by Treaty_ (4 vols., London, 1875, 1891); _The Map

of Africa by Treaty_ (3 vols., London, 1896). Also Lord Curzon's

Oxford address on _Frontiers_ (1907).

[52] For numerous special instances of the determining causes of town

sites, see G.G. Chisholm, "On the Distribution of Towns and Villages

in England," _Geographical Journal_ (1897), ix. 76, x. 511.

[53] The whole subject of anthropogeography is treated in a masterly

way by F. Ratzel in his _Anthropogeographie_ (Stuttgart, vol. i. 2nd

ed., 1899, vol. ii. 1891), and in his _Politische Geographie_

(Leipzig, 1897). The special question of the reaction of man on his

environment is handled by G.P. Marsh in _Man and Nature, or Physical

Geography as modified by Human Action_ (London, 1864).

[54] For commercial geography see G.G. Chisholm, _Manual of

Commercial Geography_ (1890).

GEOID (from Gr. [Greek: ge], the earth), an imaginary surface employed

by geodesists which has the property that every element of it is

perpendicular to the plumb-line where that line cuts it. Compared with

the "spheroid of reference" the surface of the geoid is in general

depressed over the oceans and raised over the great land masses. (See

EARTH, FIGURE OF THE.)

GEOK-TEPE, a former fortress of the Turkomans, in Russian Transcaspia,

in the oasis of Akhal-tekke, on the Transcaspian railway, 28 m. N.W. of

Askabad. It consisted of a walled enclosure 1-3/4 m. in circuit, the

wall being 18 ft. high and 20 to 30 ft. thick. In December 1880 the

place was attacked by 6000 Russians under General Skobelev, and after a

siege of twenty-three days was carried by storm, although the defenders

numbered 25,000. A monument and a small museum commemorate the event.

GEOLOGY (from Gr. [Greek: ge], the earth, and [Greek: logos], science),

the science which investigates the physical history of the earth. Its

object is to trace the structural progress of our planet from the

earliest beginnings of its separate existence, through its various

stages of growth, down to the present condition of things. It seeks to

determine the manner in which the evolution of the earth's great surface

features has been effected. It unravels the complicated processes by

which each continent has been built up. It follows, even into detail,

the varied sculpture of mountain and valley, crag and ravine. Nor does

it confine itself merely to changes in the inorganic world. Geology

shows that the present races of plants and animals are the descendants

of other and very different races which once peopled the earth. It

teaches that there has been a progressive development of the

inhabitants, as well as one of the globe on which they have dwelt; that

each successive period in the earth's history, since the introduction of

living things, has been marked by characteristic types of the animal and

vegetable kingdoms; and that, however imperfectly the remains of these

organisms have been preserved or may be deciphered, materials exist for

a history of life upon the planet. The geographical distribution of

existing faunas and floras is often made clear and intelligible by

geological evidence; and in the same way light is thrown upon some of

the remoter phases in the history of man himself. A subject so

comprehensive as this must require a wide and varied basis of evidence.

It is one of the characteristics of geology to gather evidence from

sources which at first sight seem far removed from its scope, and to

seek aid from almost every other leading branch of science. Thus, in

dealing with the earliest conditions of the planet, the geologist must

fully avail himself of the labours of the astronomer. Whatever is

ascertainable by telescope, spectroscope or chemical analysis, regarding

the constitution of other heavenly bodies, has a geological bearing. The

experiments of the physicist, undertaken to determine conditions of

matter and of energy, may sometimes be taken as the starting-points of

geological investigation. The work of the chemical laboratory forms the

foundation of a vast and increasing mass of geological inquiry. To the

botanist, the zoologist, even to the unscientific, if observant,

traveller by land or sea, the geologist turns for information and

assistance.

But while thus culling freely from the dominions of other sciences,

geology claims as its peculiar territory the rocky framework of the

globe. In the materials composing that framework, their composition and

arrangement, the processes of their formation, the changes which they

have undergone, and the terrestrial revolutions to which they bear

witness, lie the main data of geological history. It is the task of the

geologist to group these elements in such a way that they may be made to

yield up their evidence as to the march of events in the evolution of

the planet. He finds that they have in large measure arranged themselves

in chronological sequence,--the oldest lying at the bottom and the

newest at the top. Relics of an ancient sea-floor are overlain by traces

of a vanished land-surface; these are in turn covered by the deposits of

a former lake, above which once more appear proofs of the return of the

sea. Among these rocky records lie the lavas and ashes of long-extinct

volcanoes. The ripple left upon the shore, the cracks formed by the

sun's heat upon the muddy bottom of a dried-up pool, the very imprint of

the drops of a passing rainshower, have all been accurately preserved,

and yield their evidence as to geographical conditions often widely

different from those which exist where such markings are now found.

But it is mainly by the remains of plants and animals imbedded in the

rocks that the geologist is guided in unravelling the chronological

succession of geological changes. He has found that a certain order of

appearance characterizes these organic remains, that each great group of

rocks is marked by its own special types of life, and that these types

can be recognized, and the rocks in which they occur can be correlated

even in distant countries, and where no other means of comparison would

be possible. At one moment he has to deal with the bones of some large

mammal scattered through a deposit of superficial gravel, at another

time with the minute foraminifers and ostracods of an upraised

sea-bottom. Corals and crinoids crowded and crushed into a massive

limestone where they lived and died, ferns and terrestrial plants matted

together into a bed of coal where they originally grew, the scattered

shells of a submarine sand-bank, the snails and lizards which lived and

died within a hollow-tree, the insects which have been imprisoned within

the exuding resin of old forests, the footprints of birds and

quadrupeds, the trails of worms left upon former shores--these, and

innumerable other pieces of evidence, enable the geologist to realize in

some measure what the faunas and floras of successive periods have been,

and what geographical changes the site of every land has undergone.

It is evident that to deal successfully with these varied materials, a

considerable acquaintance with different branches of science is needful.

Especially necessary is a tolerably wide knowledge of the processes now

at work in changing the surface of the earth, and of at least those

forms of plant and animal life whose remains are apt to be preserved in

geological deposits, or which in their structure and habitat enable us

to realize what their forerunners were. It has often been insisted that

the present is the key to the past; and in a wide sense this assertion

is eminently true. Only in proportion as we understand the present,

where everything is open on all sides to the fullest investigation, can

we expect to decipher the past, where so much is obscure, imperfectly

preserved or not preserved at all. A study of the existing economy of

nature ought thus to be the foundation of the geologist's training.

While, however, the present condition of things is thus employed, we

must obviously be on our guard against the danger of unconsciously

assuming that the phase of nature's operations which we now witness has

been the same in all past time, that geological changes have always or

generally taken place in former ages in the manner and on the scale

which we behold to-day, and that at the present time all the great

geological processes, which have produced changes in the past eras of

the earth's history, are still existent and active. As a working

hypothesis we may suppose that the nature of geological processes has

remained constant from the beginning; but we cannot postulate that the

action of these processes has never varied in energy. The few centuries

wherein man has been observing nature obviously form much too brief an

interval by which to measure the intensity of geological action in all

past time. For aught we can tell the present is an era of quietude and

slow change, compared with some of the eras which have preceded it. Nor

perhaps can we be quite sure that, when we have explored every

geological process now in progress, we have exhausted all the causes of

change which, even in comparatively recent times, have been at work.

In dealing with the geological record, as the accessible solid part of

the globe is called, we cannot too vividly realize that at the best it

forms but an imperfect chronicle. Geological history cannot be compiled

from a full and continuous series of documents. From the very nature of

its origin the record is necessarily fragmentary, and it has been

further mutilated and obscured by the revolutions of successive ages.

And even where the chronicle of events is continuous, it is of very

unequal value in different places. In one case, for example, it may

present us with an unbroken succession of deposits many thousands of

feet in thickness, from which, however, only a few meagre facts as to

geological history can be gleaned. In another instance it brings before

us, within the compass of a few yards, the evidence of a most varied and

complicated series of changes in physical geography, as well as an

abundant and interesting suite of organic remains. These and other

characteristics of the geological record become more apparent and

intelligible as we proceed in the study of the science.

_Classification._--For systematic treatment the subject may be

conveniently arranged in the following parts:--

1. _The Historical Development of Geological Science._--Here a brief

outline will be given of the gradual growth of geological conceptions

from the days of the Greeks and Romans down to modern times, tracing the

separate progress of the more important branches of inquiry and noting

some of the stages which in each case have led up to the present

condition of the science.

2. _The Cosmical Aspects of Geology._--This section embraces the

evidence supplied by astronomy and physics regarding the form and

motions of the earth, the composition of the planets and sun, and the

probable history of the solar system. The subjects dealt with under this

head are chiefly treated in separate articles.

3. _Geognosy._--An inquiry into the materials of the earth's substance.

This division, which deals with the parts of the earth, its envelopes of

air and water, its solid crust and the probable condition of its

interior, especially treats of the more important minerals of the crust,

and the chief rocks of which that crust is built up. Geognosy thus lays

a foundation of knowledge regarding the nature of the materials

constituting the mass of the globe, and prepares the way for an

investigation of the processes by which these materials are produced and

altered.

4. _Dynamical Geology_ studies the nature and working of the various

geological processes whereby the rocks of the earth's crust are formed

and metamorphosed, and by which changes are effected upon the

distribution of sea and land, and upon the forms of terrestrial

surfaces. Such an inquiry necessitates a careful examination of the

existing geological economy of nature, and forms a fitting introduction

to an inquiry into the geological changes of former periods.

5. _Geotectonic or Structural Geology_ has for its object the

architecture of the earth's crust. It embraces an inquiry into the

manner in which the various materials composing this crust have been

arranged. It shows that some have been formed in beds or strata of

sediment on the floor of the sea, that others have been built up by the

slow aggregation of organic forms, that others have been poured out in a

molten condition or in showers of loose dust from subterranean sources.

It further reveals that, though originally laid down in almost

horizontal beds, the rocks have subsequently been crumpled, contorted

and dislocated, that they have been incessantly worn down, and have

often been depressed and buried beneath later accumulations.

6. _Palaeontological Geology._--This branch of the subject, starting

from the evidence supplied by the organic forms which are found

preserved in the crust of the earth, includes such questions as the

relations between extinct and living types, the laws which appear to

have governed the distribution of life in time and in space, the

relative importance of different genera of animals in geological

inquiry, the nature and use of the evidence from organic remains

regarding former conditions of physical geography. Some of these

problems belong also to zoology and botany, and are more fully discussed

in the articles PALAEONTOLOGY and PALAEOBOTANY.

7. _Stratigraphical Geology._--This section might be called geological

history. It works out the chronological succession of the great

formations of the earth's crust, and endeavours to trace the sequence of

events of which they contain the record. More particularly, it

determines the order of succession of the various plants and animals

which in past time have peopled the earth, and thus ascertains what has

been the grand march of life upon this planet.

8. _Physiographical Geology_, proceeding from the basis of fact laid

down by stratigraphical geology regarding former geographical changes,

embraces an inquiry into the origin and history of the features of the

earth's surface--continental ridges and ocean basins, plains, valleys

and mountains. It explains the causes on which local differences of

scenery depend, and shows under what very different circumstances, and

at what widely separated intervals, the hills and mountains, even of a

single country, have been produced.

Most of the detail embraced in these several sections is relegated to

separate articles, to which references are here inserted. The following

pages thus deal mainly with the general principles and historical

development of the science:--

PART I.--HISTORICAL DEVELOPMENT

_Geological Ideas among the Greeks and Romans._--Many geological

phenomena present themselves in so striking a form that they could

hardly fail to impress the imagination of the earliest and rudest

races of mankind. Such incidents as earthquakes and volcanic

eruptions, destructive storms on land and sea, disastrous floods and

landslips suddenly strewing valleys with ruin, must have awakened the

terror of those who witnessed them. Prominent features of landscape,

such as mountain-chains with their snows, clouds and thunderstorms,

dark river-chasms that seem purposely cleft open in order to give

passage to the torrents that rush through them, crags with their

impressive array of pinnacles and recesses must have appealed of old,

as they still do, to the awe and wonder of those who for the first

time behold them. Again, banks of sea-shells in far inland districts

would, in course of time, arrest the attention of the more intelligent

and reflective observers, and raise in their minds some kind of

surmise as to how such shells could ever have come there. These and

other conspicuous geological problems found their earliest solution in

legends and myths, wherein the more striking terrestrial features and

the elemental forces of nature were represented to be the

manifestation of the power of unseen supernatural beings.

The basin of the Mediterranean Sea was especially well adapted, from

its physical conditions, to be the birth-place of such fables. It is a

region frequently shaken by earthquakes, and contains two distinct

centres of volcanic activity, one in the Aegean Sea and one in Italy.

It is bounded on the north by a long succession of lofty snow-capped

mountain-ranges, whence copious rivers, often swollen by heavy rains

or melted snows, carry the drainage into the sea. On the south it

boasts the Nile, once so full of mystery; likewise wide tracts of arid

desert with their dreaded dust storms. The Mediterranean itself,

though an inland sea, is subject to gales, which, on exposed coasts,

raise breakers quite large enough to give a vivid impression of the

power of ocean waves. The countries that surround this great sheet of

water display in many places widely-spread deposits full of sea

shells, like those that still live in the neighbouring bays and gulfs.

Such a region was not only well fitted to supply subjects for

mythology, but also to furnish, on every side, materials which, in

their interest and suggestiveness, would appeal to the reason of

observant men.

It was natural, therefore, that the early philosophers of Greece

should have noted some of these geological features, and should have

sought for other explanations of them than those to be found in the

popular myths. The opinions entertained in antiquity on these subjects

may be conveniently grouped under two heads: (1) Geological processes

now in operation, and (2) geological changes in the past.

Earthquakes and volcanoes.

1. _Contemporary Processes._--The geological processes of the present

time are partly at work underground and partly on the surface of the

earth. The former, from their frequently disastrous character,

received much attention from Greek and Roman authors. Aristotle, in

his _Meteorics_, cites the speculations of several of his predecessors

which he rejects in favour of his own opinion to the effect that

earthquakes are due to the generation of wind within the earth, under

the influence of the warmth of the sun and the internal heat. Wind,

being the lightest and most rapidly moving body, is the cause of

motion in other bodies, and fire, united with wind, becomes flame,

which is endowed with great rapidity of motion. Aristotle looked upon

earthquakes and volcanic eruptions as closely connected with each

other, the discharge of hot materials to the surface being the result

of a severe earthquake, when finally the wind rushes out with

violence, and sometimes buries the surrounding country under sparks

and cinders, as had happened at Lipari. These crude conceptions of

the nature of volcanic action, and the cause of earthquakes, continued

to prevail for many centuries. They are repeated by Lucretius, who,

however, following Anaximenes, includes as one of the causes of

earthquakes the fall of mountainous masses of rock undermined by time,

and the consequent propagation of gigantic tremors far and wide

through the earth. Strabo, having travelled through the volcanic

districts of Italy, was able to recognize that Vesuvius had once been

an active volcano, although no eruption had taken place from it within

human memory. He continued to hold the belief that volcanic energy

arose from the movement of subterranean wind. He believed that the

district around the Strait of Messina, which had formerly suffered

from destructive earthquakes, was seldom visited by them after the

volcanic vents of that region had been opened, so as to provide an

escape for the subterranean fire, wind, water and burning masses. He

cites in his _Geography_ a number of examples of widespread as well as

local sinkings of land, and alludes also to the uprise of the

sea-bottom. He likewise regards some islands as having been thrown up

by volcanic agency, and others as torn from the mainland by such

convulsions as earthquakes.

The most detailed account of earthquake phenomena which has come down

to us from antiquity is that of Seneca in his _Quaestiones Naturales_.

This philosopher had been much interested in the accounts given him by

survivors and witnesses of the earthquake which convulsed the district

of Naples in February A.D. 63. He distinguished several distinct

movements of the ground: 1st, the up and down motion (_succussio_);

2nd, the oscillatory motion (_inclinatio_); and probably a third, that

of trembling or vibration. While admitting that some earthquakes may

arise from the collapse of the walls of subterranean cavities, he

adhered to the old idea, held by the most numerous and important

previous writers, that these commotions are caused mainly by the

movements of wind imprisoned within the earth. As to the origin of

volcanic outbursts he supposed that the subterranean wind in

struggling for an outlet, and whirling through the chasms and

passages, meets with great store of sulphur and other combustible

substances, which by mere friction are set on fire. The elder Pliny

reiterates the commonly accepted opinion as to the efficacy of wind

underground. In discussing the phenomena of earthquakes he remarks

that towns with many culverts and houses with cellars suffer less than

others, and that at Naples those houses are most shaken which stand on

hard ground. It thus appears that with regard to subterranean

geological operations, no advance was made during the time of the

Greeks and Romans as to the theoretical explanation of these

phenomena; but a considerable body of facts was collected, especially

as to the effects of earthquakes and the occurrence of volcanic

eruptions.

Action of rivers.

The superficial processes of geology, being much less striking than

those of subterranean energy, naturally attracted less attention in

antiquity. The operations of rivers, however, which so intimately

affect a human population, were watched with more or less care.

Herodotus, struck by the amount of alluvial silt brought down annually

by the Nile and spread over the flat inundated land, inferred that

"Egypt is the gift of the river." Aristotle, in discussing some of the

features of rivers, displays considerable acquaintance with the

various drainage-systems on the north side of the Mediterranean basin.

He refers to the mountains as condensers of the atmospheric moisture,

and shows that the largest rivers rise among the loftiest high

grounds. He shows how sensibly the alluvial deposits carried down to

the sea increase the breadth of the land, and cites some parts of the

shores of the Black Sea, where, in sixty years, the rivers had brought

down such a quantity of material that the vessels then in use required

to be of much smaller draught than previously, the water shallowing so

much that the marshy ground would, in course of time, become dry land.

Strabo supplies further interesting information as to the work of

rivers in making their alluvial plains and in pushing their deltas

seaward. He remarks that these deltas are prevented from advancing

farther outward by the ebb and flow of the tides.

Occurrences of fossils.

2. _Past Processes._--The abundant well-preserved marine shells

exposed among the upraised Tertiary and post-Tertiary deposits in the

countries bordering the Mediterranean are not infrequently alluded to

in Greek and Latin literature. Xenophanes of Colophon (614 B.C.)

noticed the occurrence of shells and other marine productions inland

among the mountains, and inferred from them that the land had risen

out of the sea. A similar conclusion was drawn by Xanthus the Lydian

(464 B.C.) from shells like scallops and cockles, which were found far

from the sea in Armenia and Lower Phrygia. Herodotus, Eratosthenes,

Strato and Strabo noted the vast quantities of fossil shells in

different parts of Egypt, together with beds of salt, as evidence that

the sea had once spread over the country. But by far the most

philosophical opinions on the past mutations of the earth's surface

are those expressed by Aristotle in the treatise already cited.

Reviewing the evidence of these changes, he recognized that the sea

now covers tracts that were once dry land, and that land will one day

reappear where there is now sea. These alternations are to be regarded

as following each other in a certain order and periodicity. But they

are apt to escape our notice because they require successive periods

of time, which, compared with our brief existence, are of enormous

duration, and because they are brought about so imperceptibly that we

fail to detect them in progress. In a celebrated passage in his

_Metamorphoses_, Ovid puts into the mouth of the philosopher

Pythagoras an account of what was probably regarded as the Pythagorean

view of the subject in the Augustan age. It affirms the interchange of

land and sea, the erosion of valleys by descending rivers, the washing

down of mountains into the sea, the disappearance of the rivers and

the submergence of land by earthquake movements, the separation of

some islands from, and the union of others with, the mainland, the

uprise of hills by volcanic action, the rise and extinction of burning

mountains. There was a time before Etna began to glow, and the time is

coming when the mountain will cease to burn.

From this brief sketch it will be seen that while the ancients had

accumulated a good deal of information regarding the occurrence of

geological changes, their interpretations of the phenomena were to a

considerable extent mere fanciful speculation. They had acquired only

a most imperfect conception of the nature and operation of the

geological processes; and though many writers realized that the

surface of the earth has not always been, and will not always remain,

as it is now, they had no glimpse of the vast succession of changes of

that surface which have been revealed by geology. They built

hypotheses on the slenderest basis of fact, and did not realize the

necessity of testing or verifying them.

_Progress of Geological Conceptions in the Middle Ages._--During the

centuries that succeeded the fall of the Western empire little

progress was made in natural science. The schoolmen in the monasteries

and other seminaries were content to take their science from the

literature of Greece and Rome. The Arabs, however, not only collected

and translated that literature, but in some departments made original

observations themselves. To one of the most illustrious of their

number, Avicenna, the translator of Aristotle, a treatise has been

ascribed, in which singularly modern ideas are expressed regarding

mountains, some of which are there stated to have been produced by an

uplifting of the ground, while others have been left prominent, owing

to the wearing away of the softer rocks around them. In either case,

it is confessed that the process would demand long tracts of time for

its completion.

After the revival of learning the ancient problem presented by fossil

shells imbedded in the rocks of the interior of many countries

received renewed attention. But the conditions for its solution were

no longer what they had been in the days of the philosophers of

antiquity. Men were not now free to adopt and teach any doctrine they

pleased on the subject. The Christian church had meanwhile arisen to

power all over Europe, and adjudged as heretics all who ventured to

impugn any of her dogmas. She taught that the land and the sea had

been separated on the third day of creation, before the appearance of

any animal life, which was not created until the fifth day. To assert

that the dry land is made up in great part of rocks that were formed

in the sea, and are crowded with the remains of animals, was plainly

to impugn the veracity of the Bible. Again, it had come to be the

orthodox belief that only somewhere about 6000 years had elapsed since

the time of Adam and Eve. If any thoughtful observer, impressed with

the overwhelming force of the evidence that the fossiliferous

formations of the earth's crust must have taken long periods of time

for their accumulation, ventured to give public expression to his

conviction, he ran considerable risk of being proceeded against as a

heretic. It was needful, therefore, to find some explanation of the

facts of nature, which would not run counter to the ecclesiastical

system of the day. Various such interpretations were proposed,

doubtless in an honest endeavour at reconciliation. Three of these

deserve special notice: (1) Many able observers and diligent

collectors of fossils persuaded themselves that these objects never

belonged to organisms of any kind, but should be regarded as mere

"freaks of nature," having no more connexion with any once living

creature than the frost patterns on a window. They were styled

"formed" or "figured" stones, "lapides sui generis," and were asserted

to be due to some inorganic imitative process within the earth or to

the influence of the stars. (2) Observers who could not resist the

evidence of their senses that the fossil shells once belonged to

living animals, and who, at the same time, felt the necessity of

accounting for the presence of marine organisms in the rocks of which

the dry land is largely built up, sought a way out of the difficulty

by invoking the Deluge of Noah. Here was a catastrophe which, they

said, extended over the whole globe, and by which the entire dry land

was submerged even up to the tops of the high hills. True, it only

lasted one hundred and fifty days, but so little were the facts then

appreciated that no difficulty seems to have been generally felt in

crowding the accumulation of the thousands of feet of fossiliferous

formations into that brief space of time. (3) Some more intelligent

men in Italy, recognizing that these interpretations could not be

upheld, fell back upon the idea that the rocks in which fossil shells

are imbedded might have been heaped up by repeated and vigorous

eruptions from volcanic centres. Certain modern eruptions in the

Aegean Sea and in the Bay of Naples had drawn attention to the

rapidity with which hills of considerable size could be piled around

an active crater. It was argued that if Monte Nuovo near Naples could

have been accumulated to a height of nearly 500 ft. in two days, there

seemed to be no reason against believing that, during the time of the

Flood, and in the course of the centuries that have elapsed since

that event, the whole of the fossiliferous rocks might have been

deposited. Unfortunately for this hypothesis it ignored the fact that

these rocks do not consist of volcanic materials.

Leonardo da Vinci; Fracastorio; Falloppio.

So long as the fundamental question remained in dispute as to the true

character and history of the stratified portion of the earth's crust

containing organic remains, geology as a science could not begin its

existence. The diluvialists (those who relied on the hypothesis of the

Flood) held the field during the 16th, 17th and a great part of the

18th century. They were looked on as the champions of orthodoxy; and,

on that account, they doubtless wielded much more influence than would

have been gained by them from the force of their arguments. Yet during

those ages there were not wanting occasional observers who did good

service in combating the prevalent misconceptions, and in preparing

the way for the ultimate triumph of truth. It was more especially in

Italy, where many of the more striking phenomena of geology are

conspicuously displayed, that the early pioneers of the science arose,

and that for several generations the most marked progress was made

towards placing the investigations of the past history of the earth

upon a basis of careful observation and scientific deduction. One of

the first of these leaders was Leonardo da Vinci (1452-1519), who,

besides his achievements in painting, sculpture, architecture and

engineering, contributed some notable observations regarding the great

problem of the origin of fossil shells. He ridiculed the notion that

these objects could have been formed by the influence of the stars,

and maintained that they had once belonged to living organisms, and

therefore that what is now land was formerly covered by the sea.

Girolamo Fracastorio (1483-1553) claimed that the shells could never

have been left by the Flood, which was a mere temporary inundation,

but that they proved the mountains, in which they occur, to have been

successively uplifted out of the sea. On the other hand, even an

accomplished anatomist like Gabriello Falloppio (1523-1562) found it

easier to believe that the bones of elephants, teeth of sharks, shells

and other fossils were mere earthy inorganic concretions, than that

the waters of Noah's Flood could ever nave reached as far as Italy.

Nicolas Steno.

By much the most important member of this early band of Italian

writers was undoubtedly Nicolas Steno (1631-1687), who, though born in

Copenhagen, ultimately settled in Florence. Having made a European

reputation as an anatomist, his attention was drawn to geological

problems by finding that the rocks of the north of Italy contained

what appeared to be sharks' teeth closely resembling those of a

dog-fish, of which he had published the anatomy. Cautiously at first,

for fear of offending orthodox opinions, but afterwards more boldly,

he proclaimed his conviction that those objects had once been part of

living animals, and that they threw light on some of the past history

of the earth. He published in 1669 a small tract, _De solido intra

solidum naturaliter contento_, in which he developed the ideas he had

formed of this history from an attentive study of the rocks. He showed

that the stratified formations of the hills and valleys consist of

such materials as would be laid down in the form of sediment in turbid

water; that where they contain marine productions this water is proved

to have been the sea; that diversities in their composition point to

commingling of currents, carrying different kinds of sediment of which

the heaviest would first sink to the bottom. He made original and

important observations on stratification, and laid down some of the

fundamental axioms in stratigraphy. He reasoned that as the original

position of strata was approximately horizontal, when they are found

to be steeply inclined or vertical, or bent into arches, they have

been disrupted by subterranean exhalations, or by the falling in of

the roofs of underground cavernous spaces. It is to this alteration of

the original position of the strata that the inequalities of the

earth's surface, such as mountains, are to be ascribed, though some

have been formed by the outburst of fire, ashes and stones from inside

the earth. Another effect of the dislocation has been to provide

fissures, which serve as outlets for springs. Steno's anatomical

training peculiarly fitted him for dealing authoritatively with the

question of the nature and origin of the fossils contained in the

rocks. He had no hesitation in affirming that, even if no shells had

ever been found living in the sea, the internal structure of these

fossils would demonstrate that they once formed parts of living

animals. And not only shells, but teeth, bones and skeletons of many

kinds of fishes had been quarried out of the rocks, while some of the

strata had skulls, horns and teeth of land-animals. Illustrating his

general principles by a sketch of what he supposed to have been the

past history of Tuscany, he added a series of diagrams which show how

clearly he had conceived the essential elements of stratigraphy. He

thought he could perceive the records of six successive phases in the

evolution of the framework of that country, and was inclined to

believe that a similar chronological sequence would be found all over

the world. He anticipated the objections that would be brought against

his views on account of the insuperable difficulty in granting the

length of time that would be required for all the geographical

vicissitudes which his interpretation required. He thought that many

of the fossils must be as old as the time of the general deluge, but

he was careful not to indulge in any speculation as to the antiquity

of the earth.

Lazzaro Moro.

To the Italian school, as especially typified in Steno, must be

assigned the honour of having thus begun to lay firmly and truly the

first foundation stones of the modern science of geology. The same

school included Antonio Vallisneri (1661-1730), who surpassed his

predecessors in his wider and more exact knowledge of the

fossiliferous rocks that form the backbone of the Italian peninsula,

which he contended were formed during a wide and prolonged submergence

of the region, altogether different from the brief deluge of Noah.

There was likewise Lazzaro Moro (1687-1740), who did good service

against the diluvialists, but the fundamental feature of his system of

nature lay in the preponderant part which, unaware of the great

difference between volcanic materials and ordinary sediment, he

assigned to volcanic action in the production of the sedimentary rocks

of the earth's crust. He supposed that in the beginning the globe was

completely surrounded with water, beneath which the solid earth lay as

a smooth ball. On the third day of creation, however, vast fires were

kindled inside the globe, whereby the smooth surface of stone was

broken up, and portions of it, appearing above the water, formed the

earliest land. From that time onward, volcanic eruptions succeeded

each other, not only on the emerged land, but on the sea-floor, over

which the ejected material spread in an ever augmenting thickness of

sedimentary strata. In this way Moro carried the history of the

stratified rocks beyond the time of the Flood back to the Creation,

which was supposed to have been some 1600 years earlier; and he

brought it down to the present day, when fresh sedimentary deposits

are continually accumulating. He thus incurred no censure from the

ecclesiastical guardians of the faith, and he succeeded in attracting

increased public attention to the problems of geology. The influence

of his teaching, however, was subsequently in great part due to the

Carmelite friar Generelli, who published an eloquent exposition of

Moro's views.

_The Cosmogonists and Theories of the Earth._--While in Italy

substantial progress was made in collecting information regarding the

fossiliferous formations of that country, and in forming conclusions

concerning them based upon more or less accurate observations, the

tendency to mere fanciful speculation, which could not be wholly

repressed in any country, reached a remarkable extravagance in

England. In proportion as materials were yet lacking from which to

construct a history of the evolution of our planet in accordance with

the teaching of the church, imagination supplied the place of

ascertained fact, and there appeared during the last twenty years of

the 18th century a group of English cosmogonists, who, by the

sensational character of their speculations, aroused general attention

both in Britain and on the continent. It may be doubted, however,

whether the effect of their writings was not to hinder the advance of

true science by diverting men from the observation of nature into

barren controversy over unrealities. It is not needful here to do more

than mention the names of Thomas Burnet, whose _Sacred Theory of the

Earth_ appeared in 1681, and William Whiston, whose New Theory of the

Earth was published in 1696. Hardly less fanciful than these writers,

though his practical acquaintance with rocks and fossils was

infinitely greater, was John Woodward, whose _Essay towards a Natural

History of the Earth_ dates from 1695. More important as a

contribution to science was the catalogue of the large collection of

fossils, which he had made from the rocks of England and which he

bequeathed to the university of Cambridge. This catalogue appeared in

1728-1729 with the title of _An attempt towards a Natural History of

the Fossils of England_.

Descartes.

A striking contrast to these cosmogonists is furnished by another

group, which arose in France and Germany, and gave to the world the

first rational ideas concerning the probable primeval evolution of our

globe. The earliest of these pioneers was the illustrious philosopher

Rene Descartes (1596-1650). He propounded a scheme of cosmical

development in which he represented the earth, like the other planets,

to have been originally a mass of glowing material like the sun, and

to have gradually cooled on the outside, while still retaining an

incandescent, self-luminous nucleus. Yet with this noble conception,

which modern science has accepted, Descartes could not shake himself

free from the time-honoured error in regard to the origin of volcanic

action. He thought that certain exhalations within the earth condense

into oil, which, when in violent motion, enters into the subterranean

cavities, where it passes into a kind of smoke. This smoke is from

time to time ignited by a spark of fire and, pressing violently

against its containing walls, gives rise to earthquakes. If the flame

breaks through to the surface at the top of a mountain, it may escape

with enormous energy, hurling forth much earth mingled with sulphur or

bitumen, and thus producing a volcano. The mountain might burn for a

long time until at last its store of fuel in the shape of sulphur or

bitumen would be exhausted. Not only did the philosopher refrain from

availing himself of the high internal temperature of the globe as the

source of volcanic energy, he even did not make use of it as the cause

of the ignition of his supposed internal fuel, but speculated on the

kindling of the subterranean fires by the spirits or gases setting

fire to the exhalations, or by the fall of masses of rock and the

sparks produced by their friction or percussion.

Leibnitz.

The ideas of Descartes regarding planetary evolution were enlarged and

made more definite by Wilhelm Gottfried Leibnitz (1646-1716), whose

teaching has largely influenced all subsequent speculation on the

subject. In his great tract, the _Protogaea_ (published in 1749,

thirty-three years after his death), he traced the probable passage of

our earth from an original condition of incandescent vapour into that

of a smooth molten globe, which, by continuous cooling, acquired an

external solid crust and rugose surface. He thought that the more

ancient rocks, such as granite and gneiss, might be portions of the

earliest outer crust; and that as the external solidification

advanced, immense subterranean cavities were left which were filled

with air and water. By the collapse of the roofs of these caverns,

valleys might be originated at the surface, while the solid

intervening walls would remain in place and form mountains. By the

disruption of the crust, enormous bodies of water were launched over

the surface of the earth, which swept vast quantities of sediment

together, and thus gave rise to sedimentary deposits. After many

vicissitudes of this kind, the terrestrial forces calmed down, and a

more stable condition of things was established.

An important feature in the cosmogony of Leibnitz is the prominent

place which he assigned to organic remains in the stratified rocks of

the crust. Ridiculing the foolish attempts to account for the presence

of these objects by calling them "sports of nature," he showed that

they are to be regarded as historical monuments; and he adduced a

number of instances wherein successive platforms of strata, containing

organic remains, bear witness to a series of advances and retreats of

the sea. He recognized that some of the fossils appeared to have

nothing like them in the living world of to-day, but some analogous

forms might yet be found, he thought, in still unexplored parts of the

earth; and even if no living representatives should ever be

discovered, many types of animals might have undergone transformation

during the great changes which had affected the surface of the earth.

In spite of his clear realization of the vast store of potential

energy residing within the highly heated interior of the earth,

Leibnitz continued to regard volcanic action as due to the combustion

of inflammable substances enclosed within the terrestrial crust, such

as stone-coal, naphtha and sulphur.

Buffon.

Appealing to a much wider public than Descartes or Leibnitz, and

basing his speculations on a wider acquaintance with the organic and

inorganic realms of nature, G.L.L. de Buffon (1707-1788) was

undoubtedly one of the most influential forces that in Europe guided

the growth of geological ideas during the 18th century. He published

in 1749 a _Theory of the Earth_, in which he adopted views similar to

those of Descartes and Leibnitz as to planetary evolution; but though

he realized the importance of fossils as records of former conditions

of the earth's surface, he accounted for them by supposing that they

had been deposited from a universal ocean, a large part of which had

subsequently been engulfed into caverns in the interior of the globe.

Thirty years later, after having laboured with skill and enthusiasm in

all branches of natural history, he published another work, his famous

_Epoques de la nature_ (1778), which is specially remarkable as the

first attempt to deal with the history of the earth in a chronological

manner, and to compute, on a basis of experiment, the antiquity of the

several stages of this history. His experiments were made with globes

of cast iron, and could not have yielded results of any value for his

purpose; but in so far as his calculations were not mere random

guesses but had some kind of foundation on experiment, they deserve

respectful recognition. He divided the history of our earth into six

periods of unequal duration, the whole comprising a period of some

70,000 or 75,000 years. He supposed that the stage of incandescence,

before the globe had consolidated to the centre, lasted 2936 years,

and that about 35,000 years elapsed before the surface had cooled

sufficiently to be touched, and therefore to be capable of supporting

living things. Terrestrial animal life, however, was not introduced

until 55,000 or 60,000 years after the beginning of the world or about

15,000 years before our time. Looking into the future, he foresaw

that, by continued refrigeration, our globe will eventually become

colder than ice, and this fair face of nature, with its manifold

varieties of plant and animal life, will perish after having existed

for 132,000 years.

Buffon's conception of the operation of the geological agents did not

become broader or more accurate in the interval between the appearance

of his two treatises. He still continued to believe in the lowering of

the ocean by subsidence into vast subterranean cavities, with a

consequent emergence of land. He still looked on volcanoes as due to

the burning of "pyritous and combustible stones," though he now called

in the co-operation of electricity. He calculated that the first

volcanoes could not arise until some 50,000 years after the beginning

of the world, by which time a sufficient extent of dense vegetation

had been buried in the earth to supply them with fuel. He appears to

have had but an imperfect acquaintance with the literature of his own

time. At least there can be little doubt that had he availed himself

of the labours of his own countryman, Jean Etienne Guettard

(1715-1786), of Giovanni Arduino (1714-1795) in Italy, and of Johann

Gottlob Lehmann (d. 1767) and George Christian Fuchsel (1722-1773) in

Germany, he would have been able to give to his "epochs" a more

definite succession of events and a greater correspondence with the

facts of nature.

James Hutton.

Among the writers of the 18th century, who formed philosophical

conceptions of the system of processes by which the life of our earth

as a habitable globe is carried on, a foremost place must be assigned

to James Hutton (1726-1797). Educated for the medical profession, he

studied at Edinburgh and at Paris, and took his doctor's degree at

Leiden. But having inherited a small landed property in Berwickshire,

he took to agriculture, and after putting his land into excellent

order, let his farm and betook himself to Edinburgh, there to gratify

the scientific tastes which he had developed early in life. He had

been more especially led to study minerals and rocks, and to meditate

on the problems which they suggest as to the constitution and history

of the earth. His journeys in Britain and on the continent of Europe

had furnished him with material for reflection; and he had gradually

evolved a system or theory in which all the scattered facts could be

arranged so as to show their mutual dependence and their place in the

orderly mechanism of the world. He used to discuss his views with one

or two of his friends, but refrained from publishing them to the world

until, on the foundation of the Royal Society of Edinburgh, he

communicated an outline of his doctrine to that learned body in 1785.

Some years later he expanded this first essay into a larger work in

two volumes, which were published in 1795 with the title of _Theory of

the Earth, with Proofs and Illustrations_.

John Playfair.

Hutton's teaching has exercised a profound influence on modern

geology. This influence, however, has arisen less from his own

writings than from the account of his doctrines given by his friend

John Playfair in the classic work entitled _Illustrations of the

Huttonian Theory_, published in 1802. Hutton wrote in so prolix and

obscure a style as rather to repel than attract readers. Playfair, on

the other hand, expressed himself in such clear and graceful language

as to command general attention, and to gain wide acceptance for his

master's views. Unlike the older cosmogonists, Hutton refrained from

trying to explain the origin of things, and from speculations as to

what might possibly have been the early history of our globe. He

determined from the outset to interpret the past by what can be seen

to be the present order of nature; and he refused to admit the

operation of causes which cannot be shown to be part of the actual

terrestrial system. Like other observers who had preceded him, he

recognized in the various rocks composing the dry land evidence of

former geographical conditions very different from those which now

prevail. He saw that the vast majority of rocks consist of hardened

sediments and must have been deposited in the sea. He could

distinguish among them an older or Primary series, and a younger or

Secondary series; and did not dispute the existence of a Tertiary

series claimed by Peter Simon Pallas (1741-1811). He believed that

these various aqueous accumulations had been consolidated by

subterranean heat, that the oldest and lowest rocks had suffered most

from this action, that into these more deep-seated masses subsequent

veins and larger bodies of molten matter were injected from below, and

thus that what was originally loose detritus eventually became changed

in such crystalline schists as are now found in mountain-chains. In

the course of these terrestrial revolutions sedimentary strata,

originally more or less nearly horizontal, have been pushed upward,

dislocated, crumpled, placed on end, and even elevated to form ranges

of lofty mountains. Hutton looked upon these disturbances as due to

the expansive power of subterranean heat; but he did not attempt to

sketch the mechanism of the process, and he expressly declined to

offer any conjecture as to how the land so elevated remains in that

position. He thought that the interior of our planet may "be a fluid

mass, melted, but unchanged by the action of heat"; and, far from

connecting volcanoes with the combustion of inflammable substances, as

had been the prevalent belief for so many centuries, he looked upon

them as a beneficent provision of "spiracles to the subterranean

furnace, in order to prevent the unnecessary elevation of land and

fatal effects of earthquakes."

A distinguishing feature of the Huttonian philosophy is to be seen in

the breadth of its conceptions regarding the geological operations

continually in progress on the surface of the globe. Hutton saw that

the land is undergoing a ceaseless process of degradation, through the

influence of the air, frost, rain, rivers and the sea, and that in

course of time, if no countervailing agency should intervene, the

whole of the dry land will be washed away into the sea. But he also

perceived that this universal erosion is not everywhere carried on at

the same rate; that it is specially active along the channels of

torrents and rivers, and that, owing to this difference these channels

are gradually deepened and widened, until the complicated

valley-system of a country is carved out. He recognized that the

detritus worn away from the land must be spread out over the floor of

the sea, so as to form there strata similar to those that compose most

of the dry land. As he could detect in the structure of land

convincing evidence that former sea floors had been elevated to form

the continents and islands of to-day, he could look forward to future

ages, when the same subterranean agency which had raised up the

present land would again be employed to uplift the bed of the existing

ocean, thus to renew the surface of our earth as a habitable globe,

and to start a fresh cycle of erosion and deposition.

Lamarck.

Though Hutton was not unaware that organic remains abound in many of

the stratified rocks, he left them out of consideration in the

elaboration of his theory. It was otherwise with one of his French

contemporaries, the illustrious J.B. Lamarck (1744-1829), who, after

having attained great eminence as a botanist, turned to zoology when

he was nearly fifty years of age, and before long rose to even greater

distinction in that department of science. His share in the

classification and description of the mollusca and in founding

invertebrate palaeontology, his theory of organic evolution and his

philosophical treatment of many biological questions have been tardily

recognized, but his contributions to geology have been less generally

acknowledged. When he accepted the "professorship of zoology; of

insects, of worms and of microscopic animals" at the Museum of Natural

History, Paris, in 1793, he at once entered with characteristic ardour

and capacity into the new field of research then opened to him. In

dealing with the mollusca he considered not merely the living but also

the extinct forms, especially the abundant, varied and well-preserved

genera and species furnished by the Tertiary deposits of the Paris

basin, of which he published descriptions and plates that proved of

essential service in the stratigraphical work of Cuvier and Alexandre

Brongniart (1770-1847). His labours among these relics of ancient seas

and lakes led him to ponder over the past history of the globe, and as

he was seldom dilatory in making known the opinions he had formed, he

communicated some of his conclusions to the National Institute in

1799. These, including a further elaboration of his views, he

published in 1802 in a small volume entitled Hydrogeologie.

This treatise, though it did not reach a second edition and has never

been reprinted, deserves an honourable place in geological literature.

Its object, the author states, was to present some important and novel

considerations, which he thought should form the basis of a true

theory of the earth. He entirely agreed with the doctrine of the

subaerial degradation of the land and the erosion of valleys by

running water. Not even Playfair could have stated this doctrine more

emphatically, and it is worthy of notice that Playfair's

_Illustrations of the Huttonian Theory_ appeared in the same year with

Lamarck's book. The French naturalist, however, carried his

conclusions so far as to take no account of any great movements of the

terrestrial crust, which might have produced or modified the main

physical features of the surface of the globe. He thought that all

mountains, except such as were thrown up by volcanic agency or local

accidents, have been cut out of plains, the original surfaces of which

are indicated by the crests and summits of these elevations.

Lamarck, in reflecting upon the wide diffusion of fossil shells and

the great height above the sea at which they are found, conceived the

extraordinary idea that the ocean basin has been scoured out by the

sea, and that, by an impulse communicated to the waters through the

influence chiefly of the moon, the sea is slowly eating away the

eastern margins of the continents, and throwing up detritus on their

western coasts, and is thus gradually shifting its basin round the

globe. He would not admit the operation of cataclysms; but insisted as

strongly as Hutton on the continuity of natural processes, and on the

necessity of explaining former changes of the earth's surface by

causes which can still be seen to be in operation. As might be

anticipated from his previous studies, he brought living things and

their remains into the forefront of his theory of the earth. He looked

upon fossils as one of the chief means of comprehending the

revolutions which the surface of the earth has undergone; and in his

little volume he again and again dwells on the vast antiquity to which

these revolutions bear witness. He acutely argues, from the condition

of fossil shells, that they must have lived and died where their

remains are now found.

In the last part of his treatise Lamarck advances some peculiar

opinions in physics and chemistry, which he had broached eighteen

years before, but which had met with no acceptance among the

scientific men of his time. He believed that the tendency of all

compound substances is to decay, and thereby to be resolved into their

component constituents. Yet he saw that the visible crust of the earth

consists almost wholly of compound bodies. He therefore set himself to

solve the problem thus presented. Perceiving that the biological

action of living organisms is constantly forming combinations of

matter, which would never have otherwise come into existence, he

proceeded to draw the extraordinary conclusion that the action of

plant and animal life (the _Pouvoir de la vie_) upon the inorganic

world is so universal and so potent, that the rocks and minerals which

form the outer part of the earth's crust are all, without exception,

the result of the operations of once living bodies. Though this

sweeping deduction must be allowed to detract from the value of

Lamarck's work, there can be no doubt that he realized, more fully

than any one had done before him, the efficacy of plants and animals

as agents of geological change.

Cuvier.

The last notable contributor to the cosmological literature of geology

was another illustrious Frenchman, the comparative anatomist Cuvier

(1769-1832). He was contemporary with Lamarck, but of a very different

type of mind. The brilliance of his speculations, and the charm with

which he expounded them, early gained for him a prominent place in the

society of Paris. He too was drawn by his zoological studies to

investigate fossil organic remains, and to consider the former

conditions of the earth's surface, of which they are memorials. It was

among the vertebrate organisms of the Paris basin that he found his

chief material, and from them that he prepared the memoirs which led

to him being regarded as the founder of vertebrate palaeontology. But

beyond their biological interest, they awakened in him a keen desire

to ascertain the character and sequence of the geographical

revolutions to which they bear witness. He approached the subject from

an opposite and less philosophical point of view than that of Lamarck,

coming to it with certain preconceived notions, which affected all

his subsequent writings. While Lamarck was by instinct an

evolutionist, who sought to trace in the history of the past the

operation of the same natural processes as are still at work, Cuvier,

on the other hand, was a catastrophist, who invoked a succession of

vast cataclysms to account for the interruptions in the continuity of

the geological record.

In a preliminary _Discourse_ prefixed to his _Recherches sur les

ossemens fossiles_ (1821) Cuvier gave an outline of what he conceived

to have been the past history of our globe, so far as he had been able

to comprehend it from his investigations of the Tertiary formations of

France. He believed that in that history evidence can be recognized of

the occurrence of many sudden and disastrous revolutions, which, to

judge from their effects on the animal life of the time, must have

exceeded in violence anything we can conceive at the present day, and

must have been brought about by other agencies than those which are

now in operation. Yet, in spite of these catastrophes, he saw that

there has been an upward progress in the animal forms inhabiting the

globe, until the series ended in the advent of man. He could not,

however, find any evidence that one species has been developed from

another, for in that case there should have been traces of

intermediate forms among the stratified formations, where he affirmed

that they had never been found. A prominent position in the

_Discourse_ is given to a strenuous argument to disprove the alleged

antiquity of some nations, and to show that the last great catastrophe

occurred not more than some 5000 or 6000 years ago. Cuvier thus linked

himself with those who in previous generations had contended for the

efficacy of the Deluge. But his researches among fossil animals had

given him a far wider outlook into the geological past, and had opened

up to him a succession of deeply interesting problems in the history

of life upon the earth, which, though he had not himself material for

their solution, he could foresee would be cleared up in the future.

_Gradual Shaping of Geology into a Distinct Branch of Science._--It

will be seen from the foregoing historical sketch that it was only

after the lapse of long centuries, and from the labours of many

successive generations of observers and writers, that what we now know

as the science of geology came to be recognized as a distinct

department of natural knowledge, founded upon careful and extended

study of the structure of the earth, and upon observation of the

natural processes, which are now at work in changing the earth's

surface. The term "geology,"[1] descriptive of this branch of the

investigation of nature, was not proposed until the last quarter of

the 18th century by Jean Andre De Luc (1727-1817) and Horace Benedict

De Saussure (1740-1749). But the science was then in a markedly

half-formed condition, theoretical speculation still in large part

supplying the place of deductions from a detailed examination of

actual fact. In 1807 a few enterprising spirits founded the Geological

Society of London for the special purpose of counteracting the

prevalent tendency and confining their intention "to investigate the

mineral structure of the earth." The cosmogonists and framers of

Theories of the Earth were succeeded by other schools of thought. The

Catastrophists saw in the composition of the crust of the earth

distinct evidence that the forces of nature were once much more

stupendous in their operation than they now are, and that they had

from time to time devastated the earth's surface; extirpating the

races of plants and animals, and preparing the ground for new

creations of organized life. Then came the Uniformitarians, who,

pushing the doctrines of Hutton to an extreme which he did not

propose, saw no evidence that the activity of the various geological

causes has ever seriously differed from what it is at present. They

were inclined to disbelieve that the stratified formations of the

earth's crust furnish conclusive evidence of a gradual progression,

from simple types of life in the oldest strata to the most highly

developed forms in the youngest; and saw no reason why remains of the

higher vertebrates should not be met with among the Palaeozoic

formations. Sir Charles Lyell (1797-1875) was the great leader of this

school. His admirably clear and philosophical presentations of

geological facts which, with unwearied industry, he collected from the

writings of observers in all parts of the world, impressed his views

upon the whole English-speaking world, and gave to geological science

a coherence and interest which largely accelerated its progress. In

his later years, however, he frankly accepted the views of Darwin in

regard to the progressive character of the geological record.

The youngest of the schools of geological thought is that of the

Evolutionists. Pointing to the whole body of evidence from inorganic

and organic nature, they maintain that the history of our planet has

been one of continual and unbroken development from the earliest

cosmical beginnings down to the present time, and that the crust of

the earth contains an abundant, though incomplete, record of the

successive stages through which the plant and animal kingdoms have

reached their existing organization. The publication of Darwin's

_Origin of Species_ in 1859, in which evolution was made the key to

the history of the animal and vegetable kingdoms, produced an

extraordinary revolution in geological opinion. The older schools of

thought rapidly died out, and evolution became the recognized creed of

geologists all over the world.

Werner.

_Development of Opinion regarding Igneous Rocks._--So long as the idea

prevailed that volcanoes are caused by the combustion of inflammable

substances underground, there could be no rational conception of

volcanic action and its products. Even so late as the middle of the

18th century, as above remarked, such a good observer as Lazzaro Moro

drew so little distinction between volcanic and other rocks that he

could believe the fossiliferous formations to have been mainly formed

of materials ejected from eruptive vents. After his time the notion

continued to prevail that all the rocks which form the dry land were

laid down under water. Even streams of lava, which were seen to flow

from an active crater, were regarded only as portions of sedimentary

or other rocks, which had been melted by the fervent heat of the

burning inflammable materials that had been kindled underground. In

spite of the speculations of Descartes and Leibnitz, it was not yet

generally comprehended that there exists beneath the terrestrial crust

a molten magma, which, from time to time, has been injected into that

crust, and has pierced through it, so as to escape at the surface with

all the energy of an active volcano. What we now recognize to be

memorials of these former injections and propulsions were all

confounded with the rocks of unquestionably aqueous origin. The last

great teacher by whom these antiquated doctrines were formulated into

a system and promulgated to the world was Abraham Gottlob Werner

(1749-1815), the most illustrious German mineralogist and geognost of

the second half of the 18th century. While still under twenty-six

years of age, he was appointed teacher of mining and mineralogy at the

Mining Academy of Freiberg in Saxony--a post which he continued to

fill up to the end of his life. Possessed of great enthusiasm for his

subject, clear, methodical and eloquent in his exposition of it, he

soon drew around him men from all parts of the world, who repaired to

study under the great oracle of what he called geognosy (Gr. [Greek:

ge], the earth, [Greek: gnosis], knowledge) or earth-knowledge.

Reviving doctrines that had been current long before his time, he

taught that the globe was once completely surrounded with an ocean,

from which the rocks of the earth's crust were deposited as chemical

precipitates, in a certain definite order over the whole planet. Among

these "universal formations" of aqueous origin were included many

rocks, which have long been recognized to have been once molten, and

to have risen from below into the upper parts of the terrestrial

crust. Werner, following the old tradition, looked upon volcanoes as

modern features in the history of the planet, which could not have

come into existence until a sufficient amount of vegetation had been

buried to furnish fuel for their maintenance. Hence he attached but

little importance to them, and did not include in his system of rocks

any division of volcanic or igneous materials. From the predominant

part assigned by him to the sea in the accumulation of the materials

of the visible part of the earth, Werner and his school were known as

"Neptunists."

Origin of basalt.

But many years before the Saxon professor began to teach, clear

evidence had been produced from central France that basalt, one of the

rocks claimed by him as a chemical precipitate and a universal

formation, is a lava which has been poured out in a molten state at

various widely separated periods of time and at many different places.

So far back as 1752 J.E. Guettard (1715-1786) had shown that the

basaltic rocks of Auvergne are true lavas, which have flowed out in

streams from groups of once active cones. Eleven years later the

observation was confirmed and greatly extended by Nicholas Desmarest

(1725-1815), who, during a long course of years, worked out and mapped

the complicated volcanic records of that interesting region, and

demonstrated to all who were willing impartially to examine the

evidence the true volcanic nature of basalt. These views found

acceptance from some observers, but they were vehemently opposed by

the followers of Werner, who, by the force of his genius, made his

theoretical conceptions predominate all over Europe. The controversy

as to the origin of basalt was waged with great vigour during the

later decades of the 18th century. Desmarest took no part in it. He

had accumulated such conclusive proof of the correctness of his

deductions, and had so fully expounded the clearness of the evidence

in their favour furnished by the region of Auvergne, that, when any

one came to consult him on the subject, he contented himself with

giving the advice to "go and see." While the debate was in progress on

the continent, the subject was approached from a new and independent

point of view by Hutton in Scotland. This illustrious philosopher, as

already stated, realized the importance of the internal heat of the

globe in consolidating the sedimentary rocks, and believed that molten

material from the earth's interior has been protruded from below into

the overlying crust. Some of the material thus injected could be

recognized, he thought, in granite and in the various dark massive

rocks which, known in Scotland under the name of "whinstone," were

afterwards called "Trap," and are now grouped under various names,

such as basalt, dolerite and diorite. So important a share did Hutton

thus assign to the internal heat in the geological evolution of the

planet, that he and those who adopted the same opinions were styled

"Plutonists," or, especially where they concerned themselves with the

volcanic origin of basalt, "Vulcanists." The geological world was thus

divided into two hostile camps, that of the Neptunists or Wernerians,

and that of the Plutonists, Vulcanists or Huttonians.

After many years of futile controversy the first serious weakening of

the position of the dominant Neptunist school arose from the defection

of some of the most prominent of Werner's pupils. In particular Jean

Francois D'Aubuisson de Voisins (1769-1819), who had written a

treatise on the aqueous origin of the basalts of Saxony, went

afterwards to Auvergne, where he was speedily a convert to the views

expounded by Desmarest as to the volcanic nature of basalt. Having

thus to relinquish one of the fundamental articles of the Freiberg

faith, he was subsequently led to modify his adherence to others

until, as he himself confessed, his views came almost wholly to agree

with those of Hutton. Not less complete, and even more important, was

the conversion of the great Leopold von Buch (1774-1853). He, too, was

trained by Werner himself, and proved to be the most illustrious pupil

of the Saxon professor. Full of admiration for the Neptunism in which

he had been reared, he, in his earliest separate work, maintained the

aqueous origin of basalt, and contrasted the wide field opened up to

the spirit of observation by his master's teaching with the narrower

outlook offered by "the volcanic theory." But a little further

acquaintance with the facts of nature led Von Buch also to abandon his

earlier prepossessions. It was a personal visit to the volcanic region

of Auvergne that first opened his eyes, and led him to recant what he

had believed and written about basalt. But the abandonment of so

essential a portion of the Wernerian creed prepared the way for

further relinquishments. When a few years later he went to Norway and

found to his astonishment that granite, which he had been taught to

regard as the oldest chemical precipitate from the universal ocean,

could there be seen to have broken through and metamorphosed

fossiliferous limestones, and to have sent veins into them, his faith

in Werner's order of the succession of the rocks in the earth's crust

received a further momentous shock. While one after another of the

Freiberg doctrines crumbled away before him, he was now able to

interrogate nature on a wider field than the narrow limits of Saxony,

and he was thus gradually led to embrace the tenets of the opposite

school. His commanding position, as the most accomplished geologist on

the continent, gave great importance to his recantation of the

Neptunist creed. His defection indeed was the severest blow that this

creed had yet sustained. It may be said to have rung the knell of

Wernerianism, which thereafter rapidly declined in influence, while

Plutonism came steadily to the front, where it has ever since

remained.

Although Desmarest had traced in Auvergne a long succession of

volcanic eruptions, of which the oldest went back to a remote period

of time, and although he had shown that this succession, coupled with

the records of contemporaneous denudation, might be used in defining

epochs of geological history, it was not until many years after his

day that volcanic action came to be recognized as a normal part of the

mechanism of our globe, which had been in operation from the remotest

past, and which had left numerous records among the rocks of the

terrestrial crust. During the progress of the controversy between the

two great opposing factions in the later portion of the 18th and the

first three decades of the 19th century, those who espoused the

Vulcanist cause were intent on proving that certain rocks, which are

intercalated among the stratified formations and which were claimed by

the Neptunists as obviously formed by water, are nevertheless of truly

igneous origin. These observers fixed their eyes on the evidence that

the material of such rocks, instead of having been deposited from

aqueous solution, had once been actually molten, and had in that

condition been thrust between the strata, had enveloped portions of

them, and had indurated or otherwise altered them. They spoke of these

masses as "unerupted lavas"; and undoubtedly in innumerable instances

they were right. But their zeal to establish an intrusive origin led

them to overlook the proofs that some intercalated sheets of igneous

material had not been injected into the strata, but had been poured

out at the surface as truly volcanic discharges, and therefore

belonged to the ancient periods represented by the strata between

which they are interposed. It may readily be supposed that any proofs

of the contemporaneous intercalation of such sheets would be eagerly

seized upon by the Neptunists in favour of their aqueous theory. The

influence of the ancient belief that "burning mountains" could only

rise from the combustion of subterranean inflammable materials

extended even into the ranks of the Vulcanists, so far at least as to

lead to a general acquiescence in the assumption that volcanoes

appeared to belong to a late phase in the history of the planet. It

was not until after considerable progress had been made in determining

the palaeontological distinctions and order of succession of the

stratified formations of the earth's crust that it became possible to

trace among these formations a succession of volcanic episodes which

were contemporaneous with them. In no part of the world has an ampler

record of such episodes been preserved than in the British Isles. It

was natural, therefore, that the subject should there receive most

attention. As far back as 1820 Ami Boue (1794-1881) showed that the

Old Red Sandstone of Scotland includes a great series of volcanic

rocks, and that other rocks of volcanic origin are associated with the

Carboniferous formations. H.T. de la Beche (1796-1855) afterwards

traced proofs of contemporaneous eruptions among the Devonian rocks of

the south-west of England. Adam Sedgwick (1785-1873) showed, first in

the Lake District, and afterwards in North Wales, the presence of

abundant volcanic sheets among the oldest divisions of the Palaeozoic

series; while Roderick Impey Murchison (1792-1871) made similar

discoveries among the Lower Silurian rocks. From the time of these

pioneers the volcanic history of the country has been worked out by

many observers until it is now known with a fulness as yet unattained

in any other region.

_Growth of Opinion regarding Earthquakes._--We have seen how crude

were the conceptions of the ancients regarding the causes of volcanic

action, and that they connected volcanoes and earthquakes as results

of the commotion of wind imprisoned within subterranean caverns and

passages. One of the earliest treatises, in which the phenomena of

terrestrial movements were discussed in the spirit of modern science,

was the posthumous collection of papers by Robert Hooke (1635-1703),

entitled _Lectures and Discourses of Earthquakes and Subterranean

Eruptions_, where the probable agency of earthquakes in upheaving and

depressing land is fully considered, but without any definite

pronouncement as to the author's conception of its origin. Hooke still

associated earthquakes with volcanic action, and connected both with

what he called "the general congregation of sulphurous subterraneous

vapours." He conceived that some kind of "fermentation" takes place

within the earth, and that the materials which catch fire and give

rise to eruptions or earthquakes are analogous to those that

constitute gunpowder. The first essay wherein earthquakes are treated

from the modern point of view as the results of a shock that sends

waves through the crust of the earth was written by the Rev. John

Michell, and communicated to the Royal Society in the year 1760. Still

under the old misconception that volcanoes are due to the combustion

of inflammable materials, which he thought might be set on fire by the

spontaneous combustion of pyritous strata, he supposed that, by the

sudden access of large bodies of water to these subterranean fires,

vapour is produced in such quantity and with such force as to give

rise to the shock. From the centre of origin of this shock waves, he

thought, are propagated through the earth, which are largest at the

start and gradually diminish as they travel outwards. By drawing lines

at different places in the direction of the track of these waves, he

believed that the place of common intersection of these lines would be

nearly the centre of the disturbance. In this way he showed that the

great Lisbon earthquake of 1755 had its focus under the Atlantic,

somewhere between the latitudes of Lisbon and Oporto, and he estimated

that the depth at which it originated could not be much less than 1

m., and probably did not exceed 3 m. Michell, however, misconceived

the character of the waves which he described, seeing that he believed

them to be due to the actual propagation of the vapour itself

underneath the surface of the earth. A century had almost passed after

the date of his essay before modern scientific methods of observation

and the use of recording instruments began to be applied to the study

of earthquake phenomena. In 1846 Robert Mallet (1810-1881) published

an important paper "On the Dynamics of Earthquakes" in the

_Transactions of the Royal Irish Academy_. From that time onward he

continued to devote his energies to the investigation, studying the

effects of the Calabrian earthquake of 1857, experimenting on the

transmission of waves of shock through various materials, caused by

exploding charges of gunpowder, and collecting all the information to

be obtained on the subject. His writings, and especially his work in

two volumes on _The First Principles of Observational Seismology_,

must be regarded as having laid the foundations of this branch of

modern geology (see EARTHQUAKE; SEISMOMETER).

_History of the Evolution of Stratigraphical Geology._--Men had long

been familiar with the evidence that the present dry land once lay

under the sea, before they began to realize that the rocks, of which

the land consists, contain a record of many alternations of land and

sea, and relics of a long succession of plants and animals from early

and simple types up to the manifold and complex forms of to-day. In

countries where coal-mining had been prosecuted for generations, it

had been recognized that the rocks consist of strata superposed on

each other in a definite order, which was found to extend over the

whole of a district. As far back as 1719 John Strachey drew attention

to this fact in a communication published in the _Philosophical

Transactions_. John Michell (1760), in the paper on earthquakes

already cited, showed that he had acquired a clear understanding of

the order of succession among stratified formations, and perceived

that to disturbances of the terrestrial crust must be ascribed the

fact that the lower or older and more inclined strata form the

mountains, while the younger and more horizontal strata are spread

over the plains.

In Italy G. Arduino (1713-1795) classified the rocks in the north of

the peninsula as Primitive, Secondary, Tertiary and Volcanic. A

similar threefold order was announced for the Harz and Erzgebirge by

J.G. Lehmann in 1756. He recognized in that region an ancient series

of rocks in inclined or vertical strata, which rise to the tops of the

hills and descend to an unknown depth into the interior. These masses,

he thought, were contemporaneous with the making of the world. Next

came the Flotzgebirge, consisting of younger sediments, disposed in

flat or gently inclined sheets which overlie the first and more

disturbed series, and are full of petrified remains of plants and

animals. Lastly he included the mountains which have from time to time

been formed by local accidents. Still more advanced were the

conceptions of G.C. Fuchsel, who in the year 1762 published in Latin

_A History of the Earth and the Sea, based on a History of the

Mountains of Thuringia_; and in 1773, in German, a _Sketch of the most

Ancient History of the Earth and Man_. In these works he described the

stratigraphical relations and general characters of the various

geological formations in his little principality; and taking them as

indicative of a general order of succession, he traced what he

believed to have been a series of revolutions through which the earth

has passed. In interpreting this geological history, he laid great

stress on the evidence of the fossils contained in the rocks. He

recognized that the various formations differ from each other in their

enclosed organic remains, and that from these differences the

existence of former sea-bottoms and land surfaces can be determined.

The labours of these pioneers paved the way for the advent of Werner.

Though the system evolved by this teacher claimed to discard theory

and to be established on a basis of observed facts, it rested on a

succession of hypotheses, for which no better foundation could be

shown than the belief of their author in their validity. Starting from

the extremely limited stratigraphical range displayed in the

geological structure of Saxony, he took it as a type for the rest of

the globe, persuading himself and impressing upon his followers that

the rocks of that small kingdom were to be taken as examples of his

"universal formations." The oldest portion of the series, classed by

him as "Primitive," consisted of rocks which he maintained had been

deposited from chemical solution. Yet they included granite, gneiss,

basalt, porphyry and serpentine, which, even in his own day, were by

many observers correctly regarded as of igneous origin. A later group

of rocks, to which he gave the name of "Transition," comprised, in his

belief, partly chemical, partly mechanical sediments, and contained

the earliest fossil organic remains. A third group, for which he

reserved Lehmann's name "Flotz," was made up chiefly of mechanical

detritus, while youngest of all came the "Alluvial" series of loams,

clays, sands, gravels and peat. It was by the gradual subsidence of

the ocean that, as he believed, the general mass of the dry land

emerged, the first-formed rocks being left standing up, sometimes on

end, to form the mountains, while those of later date, less steeply

inclined, occupied successively lower levels down to the flat alluvial

accumulations of the plains. Neither Werner, nor any of his followers,

ventured to account for what became of the water as the sea-level

subsided, though, in despite of their antipathy to anything like

speculation, they could not help suggesting, as an answer to the

cogent arguments of their opponents, that "one of the celestial bodies

which sometimes approach near to the earth may have been able to

withdraw a portion of our atmosphere and of our ocean." Nor was any

attempt made to explain the extraordinary nature of the supposed

chemical precipitates of the universal ocean. The progress of inquiry

even in Werner's lifetime disproved some of the fundamental portions

of his system. Many of the chemical precipitates were shown to be

masses that had been erupted in a molten state from below. His order

of succession was found not to hold good; and though he tried to

readjust his sequence and to introduce into it modifications to suit

new facts, its inherent artificiality led to its speedy decline after

his death. It must be conceded, however, that the stress which he laid

upon the fact that the rocks of the earth's crust were deposited in a

definite order had an important influence in directing attention to

this subject, and in preparing the way for a more natural system,

based not on mere mineralogical characters, but having regard to the

organic remains, which were now being gathered in ever-increasing

numbers and variety from stratified formations of many different ages

and from all parts of the globe.

It was in France and in England that the foundations of stratigraphy,

based upon a knowledge of organic remains, were first successfully

laid. Abbe J.L. Giraud-Soulavie (1752-1813), in his _Histoire

naturelle de la France meridionale_, which appeared in seven volumes,

subdivided the limestones of Vivarais into five ages, each marked by a

distinct assemblage of shells. In the lowest strata, representing the

first age, none of the fossils were believed by him to have any living

representatives, and he called these rocks "Primordial." In the next

group a mingling of living with extinct forms was observable. The

third age was marked by the presence of shells of still existing

species. The strata of the fourth series were characterized by

carbonaceous shales or slates, containing remains of primordial

vegetation, and perhaps equivalents of the first three calcareous

series. The fifth age was marked by recent deposits containing remains

of terrestrial vegetation and of land animals. It is remarkable that

these sagacious conclusions should have been formed and published at a

time when the geologists of the Continent were engaged in the

controversy about the origin of basalt, or in disputes about the

character and stratigraphical position of the supposed universal

formations, and when the interest and importance of fossil organic

remains still remained unrecognized by the vast majority of the

combatants.

The rocks of the Paris basin display so clearly an orderly

arrangement, and are so distinguished for the variety and perfect

preservation of their enclosed organic remains, that they could not

fail to attract the early notice of observers. J. E. Guettard, G.F.

Rouelle (1703-1770), N. Desmarest, A.L. Lavoisier (1743-1794) and

others made observations in this interesting district. But it was

reserved for Cuvier (1769-1832) and A. Brongniart (1770-1847) to work

out the detailed succession of the Tertiary formations, and to show

how each of these is characterized by its own peculiar assemblage of

organic remains. The later progress of investigation has slightly

corrected and greatly amplified the tabular arrangement established by

these authors in 1808, but the broad outlines of the Tertiary

stratigraphy of the Paris basin remain still as Cuvier and Brongniart

left them. The most important subsequent change in the classification

of the Tertiary formations was made by Sir Charles Lyell, who,

conceiving in 1828 the idea of a classification of these rocks by

reference to their relative proportions of living and extinct species

of shells, established, in collaboration with G.P. Deshayes, the now

universally accepted divisions Eocene, Miocene and Pliocene.

Long before Cuvier and Brongniart published an account of their

researches, another observer had been at work among the Secondary

formations of the west of England, and had independently discovered

that the component members of these formations were each distinguished

by a peculiar group of organic remains; and that this distinction

could be used to discriminate them over all the region through which

he had traced them. The remarkable man who arrived at this

far-reaching generalization was William Smith (1769-1839), a land

surveyor who, in the prosecution of his professional business, found

opportunities of traversing a great part of England, and of putting

his deductions to the test. As the result of these journeys he

accumulated materials enough to enable him to produce a geological map

of the country, on which the distribution and succession of the rocks

were for the first time delineated. Smith's labours laid the

foundation of stratigraphical geology in England and he was styled

even in his lifetime the "Father of English geology." From his day

onward the significance of fossil organic remains gained rapidly

increasing recognition. Thus in England the outlines traced by him

among the Secondary and Tertiary formations were admirably filled in

by Thomas Webster (1773-1844); while the Cretaceous series was worked

out in still greater detail in the classic memoirs of William Henry

Fitton (1780-1861).

There was one stratigraphical domain, however, into which William

Smith did not enter. He traced his sequence of rocks down into the

Coal Measures, but contented himself with only a vague reference to

what lay underneath that formation. Though some of these underlying

rocks had in various countries yielded abundant fossils, they had

generally suffered so much from terrestrial disturbances, and their

order of succession was consequently often so much obscured throughout

western Europe, that they remained but little known for many years

after the stratigraphy of the Secondary and Tertiary series had been

established. At last in 1831 Murchison began to attack this _terra

incognita_ on the borders of South Wales, working into it from the Old

Red Sandstone, the stratigraphical position of which was well known.

In a few years he succeeded in demonstrating the existence of a

succession of formations, each distinguished by its own peculiar

assemblage of organic remains which were distinct from those in any of

the overlying strata. To these formations he gave the name of Silurian

(q.v.). From the key which his researches supplied, it was possible to

recognize in other countries the same order of formations and the same

sequence of fossils, so that, in the course of a few years,

representatives of the Silurian system were found far and wide over

the globe. While Murchison was thus engaged, Sedgwick devoted himself

to the more difficult task of unravelling the complicated structure of

North Wales. He eventually made out the order of the several

formations there, with their vast intercalations of volcanic material.

He named them the Cambrian system (q.v.), and found them to contain

fossils, which, however, lay for some time unexamined by him. He at

first believed, as Murchison also did, that his rocks were all older

than any part of the Silurian series. It was eventually discovered

that a portion of them was equivalent to the lower part of that

series. The oldest of Sedgwick's groups, containing distinctive

fossils, retain the name Cambrian, and are of high interest, as they

enclose the remains of the earliest faunas which are yet well known.

Sedgwick and Murchison rendered yet another signal service to

stratigraphical geology by establishing, in 1839, on a basis of

palaeontological evidence supplied by W. Lonsdale, the independence of

the Devonian system (q.v.).

For many years the rocks below the oldest fossiliferous deposits

received comparatively little attention. They were vaguely described

as the "crystalline schists" and were often referred to as parts of

the primeval crust in which no chronology was to be looked for. W.E.

Logan (1798-1875) led the way, in Canada, by establishing there

several vast series of rocks, partly of crystalline schists and

gneisses (Laurentian) and partly of slates and conglomerates

(Huronian). Later observers, both in Canada and the United States,

have greatly increased our knowledge of these rocks, and have shown

their structure to be much more complex than was at first supposed

(see ARCHEAN SYSTEM).

During the latter half of the 19th century the most important

development of stratigraphical geology was the detailed working out

and application of the principle of zonal classification to the

fossiliferous formations--that is, the determination of the sequence

and distribution of organic remains in these formations, and the

arrangement of the strata into zones, each of which is distinguished

by a peculiar assemblage of fossil species (see under Part VI.). The

zones are usually named after one especially characteristic species.

This system of classification was begun in Germany with reference to

the members of the Jurassic system (q.v.) by A. Oppel (1856-1858) and

F.A. von Quenstedt (1858), and it has since been extended through the

other Mesozoic formations. It has even been found to be applicable to

the Palaeozoic rocks, which are now subdivided into palaeontological

zones. In the Silurian system, for example, the graptolites have been

shown by C. Lapworth to furnish a useful basis for zonal subdivisions.

The lowest fossiliferous horizon in the Cambrian rocks of Europe and

North America is known as the _Olenellus_ zone, from the prominence in

it of that genus of trilobite.

Another conspicuous feature in the progress of stratigraphy during the

second half of the 19th century was displayed by the rise and rapid

development of what is known as Glacial geology. The various deposits

of "drift" spread over northern Europe, and the boulders scattered

across the surface of the plains had long attracted notice, and had

even found a place in popular legend and superstition. When men began

to examine them with a view to ascertain their origin, they were

naturally regarded as evidences of the Noachian deluge. The first

observer who drew attention to the smoothed and striated surfaces of

rock that underlie the Drifts was Hutton's friend, Sir James Hall, who

studied them in the lowlands of Scotland and referred them to the

action of great debacles of water, which, in the course of some

ancient terrestrial convulsion, had been launched across the face of

the country. Playfair, however, pointed out that the most potent

geological agents for the transportation of large blocks of stone are

the glaciers. But no one was then bold enough to connect the travelled

boulders with glaciers on the plains of Germany and of Britain. Yet

the transporting agency of ice was invoked in explanation of their

diffusion. It came to be the prevalent belief among the geologists of

the first half of the 19th century, that the fall of temperature,

indicated by the gradual increase in the number of northern species of

shells in the English Crag deposits, reached its climax during the

time of the Drift, and that much of the north and centre of Europe was

then submerged beneath a sea, across which floating icebergs and floes

transported the materials of the Drift and dropped the scattered

boulders. As the phenomena are well developed around the Alps, it was

necessary to suppose that the submergence involved the lowlands of the

Continent up to the foot of that mountain chain--a geographical change

so stupendous as to demand much more evidence than was adduced in its

support. At last Louis Agassiz (1807-1873), who had varied his

palaeontological studies at Neuchatel by excursions into the Alps, was

so much struck by the proofs of the former far greater extension of

the Swiss glaciers, that he pursued the investigation and satisfied

himself that the ice had formerly extended from the Alpine valleys

right across the great plain of Switzerland, and had transported huge

boulders from the central mountains to the flanks of the Jura. In the

year 1840 he visited Britain and soon found evidence of similar

conditions there. He showed that it was not by submergence in a sea

cumbered with floating ice, but by the former presence of vast

glaciers or sheets of ice that the Drift and erratic blocks had been

distributed. The idea thus propounded by him did not at once command

complete approval, though traces of ancient glaciers in Scotland and

Wales were soon detected by native geologists, particularly by W.

Buckland, Lyell, J.D. Forbes and Charles Maclaren. Robert Chambers

(1802-1871) did good service in gathering additional evidence from

Scotland and Norway in favour of Agassiz's views, which steadily

gained adherents until, after some quarter of a century, they were

adopted by the great majority of geologists in Britain, and

subsequently in other countries. Since that time the literature of

geology has been swollen by a vast number of contributions in which

the history of the Glacial period, and its records both in the Old and

New World, have been fully discussed.

_Rise and Progress of Palaeontological Geology._--As this branch of

the science deals with the evidence furnished by fossil organic

remains as to former geographical conditions, it early attracted

observers who, in the superficial beds of marine shells found at some

distance from the coast, saw proofs of the former submergence of the

land under the sea. But the occurrence of fossils embedded in the

heart of the solid rocks of the mountains offered much greater

difficulties of explanation, and further progress was consequently

slow. Especially baneful was the belief that these objects were mere

sports of nature, and had no connexion with any once living organisms.

So long as the true organic origin of the fossil plants and animals

contained in the rocks was in dispute, it was hardly possible that

much advance could be made in their systematic study, or in the

geological deductions to be drawn from them. One good result of the

controversy, however, was to be seen in the large collections of these

"formed stones" that were gathered together in the cabinets and

museums of the 17th and 18th centuries. The accumulation and

comparison of these objects naturally led to the production of

treatises in which they were described and not unfrequently

illustrated by good engravings. Switzerland was more particularly

noted for the number and merit of its works of this kind, such as

that of K.N. Lang (_Historia lapidum figuratorum Helvetiae_, 1708) and

those of Johann Jacob Scheuchzer (1672-1733). In England, also,

illustrated treatises were published both by men who looked on fossils

as mere freaks of nature, and by those who regarded them as proofs of

Noah's flood. Of the former type were the works of Martin Lister

(1638-1712) and Robert Plot (_Natural History of Oxfordshire_, 1677).

The Celtic scholar Edward Llwyd (1660-1709) wrote a Latin treatise

containing good plates of a thousand fossils in the Ashmolean Museum,

Oxford, and J. Woodward, in 1728-1729, published his _Natural History

of the Fossils of England_, already mentioned, wherein he described

his own extensive collection, which he bequeathed to the University of

Cambridge, where it is still carefully preserved. The most voluminous

and important of all these works, however, appeared at a later date at

Nuremberg. It was begun by G.W. Knorr (1705-1761), who himself

engraved for it a series of plates, which for beauty and accuracy have

seldom been surpassed. After his death the work was continued by

J.E.I. Walch (1725-1778), and ultimately consisted of four massive

folio volumes and nearly 300 plates under the title of _Lapides

diluvii universalis testes_. Although the authors supposed their

fossils to be relics of Noah's flood, their work must be acknowledged

to mark a distinct onward stage in the palaeontological department of

geology.

It was in France that palaeontological geology began to be cultivated

in a scientific spirit. The potter Bernard Palissy, as far back as

1580, had dwelt on the importance of fossil shells as monuments of

revolutions of the earth's surface; but the observer who first

undertook the detailed study of the subject was Jean Etienne Guettard,

who began in 1751 to publish his descriptions of fossils in the form

of memoirs presented to the Academy of Sciences of Paris. To him they

were not only of deep interest as monuments of former types of

existence, but they had an especial value as records of the changes

which the country had undergone from sea to land and from land to sea.

More especially noteworthy was a monograph by him which appeared in

1765 bearing the title "On the accidents that have befallen Fossil

Shells compared with those which are found to happen to shells now

living in the Sea." In this treatise he showed that the fossils have

been encrusted with barnacles and serpulae, have been bored into by

other organisms, and have often been rounded or broken before final

entombment; and he inferred that these fossils must have lived and

died on the sea-floor under similar conditions to those which obtain

on the sea-floor to-day. His argument was the most triumphant that had

ever been brought against the doctrine of _lusus naturae_, and that of

the efficacy of Noah's flood--doctrines which still held their ground

in Guettard's day. When Soulavie, Cuvier and Brongniart in France, and

William Smith in England, showed that the rock formations of the

earth's crust could be arranged in chronological order, and could be

recognized far and wide by means of their enclosed organic remains,

the vast significance of these remains in geological research was

speedily realized, and palaeontological geology at once entered on a

new and enlarged phase of development. But apart from their value as

chronological monuments, and as witnesses of former conditions of

geography, fossils presented in themselves a wide field of

investigation as types of life that had formerly existed, but had now

passed away. It was in France that this subject first took definite

shape as an important branch of science. The mollusca of the Tertiary

deposits of the Paris basin became, in the hands of Lamarck, the basis

on which invertebrate palaeontology was founded. The same series of

strata furnished to Cuvier the remains of extinct land animals, of

which, by critical study of their fragmentary bones and skeletons, he

worked out restorations that may be looked on as the starting-point of

vertebrate palaeontology. These brilliant researches, rousing

widespread interest in such studies, showed how great a flood of light

could be thrown on the past history of the earth and its inhabitants.

But the full significance of these extinct types of life could not be

understood so long as the doctrine of the immutability of species, so

strenuously upheld by Cuvier, maintained its sway among naturalists.

Lamarck, as far back as the year 1800, had begun to propound his

theory of evolution and the transformation of species; but his views,

strongly opposed by Cuvier and the great body of naturalists of the

day, fell into neglect. Not until after the publication in 1859 of the

_Origin of Species_ by Charles Darwin were the barriers of old

prejudice in this matter finally broken down. The possibility of

tracing the ancestry of living forms back into the remotest ages was

then perceived; the time-honoured fiction that the stratified

formations record a series of catastrophes and re-creations was

finally dissipated; and the earth's crust was seen to contain a noble,

though imperfect, record of the grand evolution of organic types of

which our planet has been the theatre.

_Development of Petrographical Geology._--Theophrastus, the favourite

pupil of Aristotle, wrote a treatise _On Stones_, which has come down

to our own day, and may be regarded as the earliest work on

petrography. At a subsequent period Pliny, in his _Natural History_,

collected all that was known in his day regarding the occurrence and

uses of minerals and rocks. But neither of these works is of great

scientific importance, though containing much interesting information.

Minerals from their beauty and value attracted notice before much

attention was paid to rocks, and their study gave rise to the science

of mineralogy long before geology came into existence. When rocks

began to be more particularly scrutinized, it was chiefly from the

side of their usefulness for building and other economic purposes. The

occurrence of marine shells in many of them had early attracted

attention to them. But their varieties of composition and origin did

not become the subject of serious study until after Linnaeus and J.G.

Wallerius in the 18th century had made a beginning. The first

important contribution to this department of the science was that of

Werner, who in 1786 published a classification and description of

rocks in which he arranged them in two divisions, simple and compound,

and further distinguished them by various external characters and by

their relative age. The publication of this scheme may be said to mark

the beginning of scientific petrography. Werner's system, however, had

the serious defect that the chronological order in which he grouped

the rocks, and the hypothesis by which he accounted for them as

chemical precipitates from the original ocean, were both alike

contrary to nature. It was hardly possible indeed that much progress

could be made in this branch of geology until chemistry and mineralogy

had made greater advances; and especially until it was possible to

ascertain the intimate chemical and mineralogical composition, and the

minute structure of rocks. The study, however, continued to be pursued

in Germany, where the influence of Werner's enthusiasm still led men

to enter the petrographical rather than the palaeontological domain.

The resources of modern chemistry were pressed into the service, and

analyses were made and multiplied to such a degree that it seemed as

if the ultimate chemical constitution of every type of rock had now

been thoroughly revealed. The condition of the science in the middle

of the 19th century was well shown by J.L.A. Roth, who in 1861

collected about 1000 trustworthy analyses which up to that time had

been made. But though the chemical elements of the rocks had been

fairly well determined, the manner in which they were combined in the

compound rocks could for the most part be only more or less plausibly

conjectured. As far back as 1831 an account was published of a process

devised by William Nicol of Edinburgh, whereby sections of fossil wood

could be cut, mounted on glass, and reduced to such a degree of

transparency as to be easily examined under a microscope. Henry Sorby,

of Sheffield, having seen Nicol's preparations, perceived how

admirably adapted the process was for the study of the minute

structure and composition of rocks. In 1858 he published in the

_Quarterly Journal of the Geological Society_ a paper "On the

Microscopical Structure of Crystals." This essay led to a complete

revolution of petrographical methods and gave a vast impetus to the

study of rocks. Petrology entered upon a new and wider field of

investigation. Not only were the mineralogical constituents of the

rocks detected, but minute structures were revealed which shed new

light on the origin and history of these mineral masses, and opened up

new paths in theoretical geology. In the hands of H. Vogelsang, F.

Zirkel, H. Rosenbusch, and a host of other workers in all civilized

countries, the literature of this department of the science has grown

to a remarkable extent. Armed with the powerful aid of modern optical

instruments, geologists are now able with far more prospect of success

to resume the experiments begun a century before by de Saussure and

Hall. G.A. Daubree, C. Friedel, E. Sarasin, F. Fouque and A. Michel

Levy in France, C. Doelter y Cisterich and E. Hussak of Gratz, J.

Morozewicz of Warsaw and others, have greatly advanced our knowledge

by their synthetical analyses, and there is every reason to hope that

further advances will be made in this field of research.

_Rise of Physiographical Geology._--Until stratigraphical geology had

advanced so far as to show of what a vast succession of rocks the

crust of the earth is built up, by what a long and complicated series

of revolutions these rocks have come to assume their present

positions, and how enormous has been the lapse of time which all these

changes represent, it was not possible to make a scientific study of

the surface features of our globe. From ancient times it had been

known that many parts of the land had once been under the sea; but

down even to the beginning of the 19th century the vaguest conceptions

continued to prevail as to the operations concerned in the submergence

and elevation of land, and as to the processes whereby the present

outlines of terrestrial topography were determined. We have seen, for

instance, that according to the teaching of Werner the oldest rocks

were first precipitated from solution in the universal ocean to form

the mountains, that the vertical position of their strata was

original, that as the waters subsided successive formations were

deposited and laid bare, and that finally the superfluous portion of

the ocean was whisked away into space by some unexplained co-operation

of another planetary body. Desmarest, in his investigation of the

volcanic history of Auvergne, was the first observer to perceive by

what a long process of sculpture the present configuration of the land

has been brought about. He showed conclusively that the valleys have

been carved out by the streams that flow in them, and that while they

have sunk deeper and deeper into the framework of the land, the spaces

of ground between them have been left as intervening ridges and hills.

De Saussure learnt a similar lesson from his studies of the Alps, and

Hutton and Playfair made it a cardinal feature in their theory of the

earth. Nevertheless the idea encountered so much opposition that it

made but little way until after the middle of the 19th century.

Geologists preferred to believe in convulsions of nature, whereby

valleys were opened and mountains were upheaved. That the main

features of the land, such as the great mountain-chains, had been

produced by gigantic plication of the terrestrial crust was now

generally admitted, and also that minor fractures and folds had

probably initiated many of the valleys. But those who realized most

vividly the momentous results achieved by ages of subaerial denudation

perceived that, as Hutton showed, even without the aid of underground

agency, the mere flow of water in streams across a mass of land must

in course of time carve out just such a system of valleys as may

anywhere be seen. It was J.B. Jukes who, in 1862, first revived the

Huttonian doctrine, and showed how completely it explained the

drainage-lines in the south of Ireland. Other writers followed in

quick succession until, in a few years, the doctrine came to be widely

recognized as one of the established principles of modern geology.

Much help was derived from the admirable illustrations of

land-sculpture and river-erosion supplied from the Western Territories

and States of the American Union.

Another branch of physiographical geology which could only come into

existence after most of the other departments of the science had made

large progress, deals with the evolution of the framework of each

country and of the several continents and oceans of the globe. It is

now possible, with more or less confidence, to trace backward the

history of every terrestrial area, to see how sea and land have there

succeeded each other, how rivers and lakes have come and gone, how the

crust of the earth has been ridged up at widely separated intervals,

each movement determining some line of mountains or plains, how the

boundaries of the oceans have shifted again and again in the past, and

thus how, after so prolonged a series of revolutions, the present

topography of each country, and of the globe as a whole, has been

produced. In the prosecution of this subject maps have been

constructed to show what is conjectured to have been the distribution

of sea and land during the various geological periods in different

parts of the world, and thus to indicate the successive stages through

which the architecture of the land has been gradually evolved. The

most noteworthy contribution to this department of the science is the

_Antlitz der Erde_ of Professor Suess of Vienna. This important and

suggestive work has been translated into French and English.

PART II.--COSMICAL ASPECTS

Before geology had attained to the position of an inductive science, it

was customary to begin investigations into the history of the earth by

propounding or adopting some more or less fanciful hypothesis in

explanation of the origin of our planet, or even of the universe. Such

preliminary notions were looked upon as essential to a right

understanding of the manner in which the materials of the globe had been

put together. One of the distinguishing features of Hutton's Theory of

the Earth consisted in his protest that it is no part of the province of

geology to discuss the origin of things. He taught that in the materials

from which geological evidence is to be compiled there can be found "no

traces of a beginning, no prospect of an end." In England, mainly to the

influence of the school which he founded, and to the subsequent rise of

the Geological Society of London, which resolved to collect facts

instead of fighting over hypotheses, is due the disappearance of the

crude and unscientific cosmologies by which the writings of the earlier

geologists were distinguished.

But there can now be little doubt that in the reaction against those

visionary and often grotesque speculations, geologists were carried too

far in an opposite direction. In allowing themselves to believe that

geology had nothing to do with questions of cosmogony, they gradually

grew up in the conviction that such questions could never be other than

mere speculation, interesting or amusing as a theme for the employment

of the fancy, but hardly coming within the domain of sober and inductive

science. Nor would they soon have been awakened out of this belief by

anything in their own science. It is still true that in the data with

which they are accustomed to deal, as comprising the sum of geological

evidence, there can be found no trace of a beginning, though the

evidence furnished by the terrestrial crust shows a general evolution of

organic forms from some starting-point which cannot be seen. The oldest

rocks which have been discovered on any part of the globe have probably

been derived from other rocks older than themselves. Geology by itself

has not yet revealed, and is little likely ever to reveal, a trace of

the first solid crust of our globe. If, then, geological history is to

be compiled from direct evidence furnished by the rocks of the earth, it

cannot begin at the beginning of things, but must be content to date

its first chapter from the earliest period of which any record has been

preserved among the rocks.

Nevertheless, though geology in its usual restricted sense has been, and

must ever be, unable to reveal the earliest history of our planet, it no

longer ignores, as mere speculation, what is attempted in this subject

by its sister sciences. Astronomy, physics and chemistry have in late

years all contributed to cast light on the earlier stages of the earth's

existence, previous to the beginning of what is commonly regarded as

geological history. But whatever extends our knowledge of the former

conditions of our globe may be legitimately claimed as part of the

domain of geology. If this branch of inquiry, therefore, is to continue

worthy of its name as the science of the earth, it must take cognizance

of these recent contributions from other sciences. It must no longer be

content to begin its annals with the records of the oldest rocks, but

must endeavour to grope its way through the ages which preceded the

formation of any rocks. Thanks to the results achieved with the

telescope, the spectroscope and the chemical laboratory, the story of

these earliest ages of our earth is every year becoming more definite

and intelligible.

Up to the present time no definite light has been thrown by physics on

the origin and earliest condition of our globe. The famous nebular

theory (q.v.) of Kant and Laplace sketched the supposed evolution of the

solar system from a gaseous nebula, slowly rotating round a more

condensed central portion of its mass, which eventually became the sun.

As a consequence of increased rapidity of rotation resulting from

cooling and contraction, the nebula acquired a more and more lenticular

form, until at last it threw off from its equatorial protuberance a ring

of matter. Subsequently the same process was repeated, and other similar

rings successively separated from the parent mass. Each ring went

through a corresponding series of changes until it ultimately became a

planet, with or without one or more attendant satellites. The intimate

relationship of our earth to the sun and the other planets was, in this

way, shown. But there are some serious physical difficulties in the way

of the acceptance of the nebular hypothesis. Another explanation is

given by the meteoritic hypothesis, according to which, out of the

swarms of meteorites with which the regions of space are crowded, the

sun and planets have been formed by gradual accretion.

According to these theoretical views we should expect to find a general

uniformity of composition in the constituent matter of the solar system.

For many years the only available evidence on this point was derived

from the meteorites (q.v.) which so constantly fall from outer space

upon the surface of the earth. These bodies were found to consist of

elements, all of which had been recognized as entering into the

constitution of the earth. But the discoveries of spectroscopic research

have made known a far more widely serviceable method of investigation,

which can be applied even to the luminous stars and nebulae that lie far

beyond the bounds of the solar system. By this method information has

been obtained regarding the constitution of the sun, and many of our

terrestrial metals, such as iron, nickel and magnesium, have been

ascertained to exist in the form of incandescent vapour in the solar

atmosphere. The present condition of the sun probably represents one of

the phases through which stars and planets pass in their progress

towards becoming cool and dark bodies in space. If our globe was at

first, like its parent sun, an incandescent mass of probably gaseous

matter, occupying much more space than it now fills, we can conceive

that it has ever since been cooling and contracting until it has reached

its present form and dimensions, and that it still retains a high

internal temperature. Its oblately spheroidal form is such as would be

assumed by a rotating mass of matter in the transition from a vaporous

and self-luminous or liquid condition to one of cool and dark solidity.

But it has been claimed that even a solid spherical globe might develop,

under the influence of protracted rotation, such a shape as the earth at

present possesses.

The observed increase of temperature downwards in our planet has

hitherto been generally accepted as a relic and proof of an original

high temperature and mobility of substance. Recently, however, the

validity of this proof has been challenged on the ground that the

ascertained amount of radium in the rocks of the outer crust is more

than sufficient to account for the observed downward increase of

temperature. Too little, however, is known of the history and properties

of what is called radium to afford a satisfactory ground on which to

discard what has been, and still remains, the prevalent belief on this

subject.

An important epoch in the geological history of the earth was marked by

the separation of the moon from its mass (see TIDE). Whether the

severance arose from the rupture of a surrounding ring or the gradual

condensation of matter in such a ring, or from the ejection of a single

mass of matter from the rapidly rotating planet, it has been shown that

our satellite was only a few thousand miles from the earth's surface,

since when it has retreated to its present distance of 240,000 m. Hence

the influence of the moon's attraction, and all the geological effects

to which it gives rise, attained their maximum far back in the

development of the globe, and have been slowly diminishing throughout

geological history.

The sun by virtue of its vast size has not yet passed out of the

condition of glowing gas, and still continues to radiate heat beyond the

farthest planet of the solar system. The earth, however, being so small

a body in comparison, would cool down much more quickly. Underneath its

hot atmosphere a crust would conceivably begin to form over its molten

surface, though the interior might still possess a high temperature and,

owing to the feeble conducting power of rocks, would remain intensely

hot for a protracted series of ages.

Full information regarding the form and size of the earth, and its

relations to the other planetary members of the solar system, will be

found in the articles PLANET and SOLAR SYSTEM. For the purposes of

geological inquiry the reader will bear in mind that the equatorial

diameter of our globe is estimated to be about 7925 m., and the polar

diameter about 7899 m.; the difference between these two sums

representing the amount of flattening at the poles (about 26-1/2 m.).

The planet has been compared in shape to an orange, but it resembles an

orange which has been somewhat squeezed, for its equatorial

circumference is not a regular circle but an ellipse, of which the major

axis lies in long. 8 deg. 15' W.--on a meridian which cuts the

north-west corner of America, passing through Portugal and Ireland, and

the north-east corner of Asia in the opposite hemisphere.

The rotation of the earth on its axis exerts an important influence on

the movements of the atmosphere, and thereby affects the geological

operations connected with these movements. The influence of rotation is

most marked in the great aerial circulation between the poles and the

equator. Currents of air, which set out in a meridional direction from

high latitudes towards the equator, come from regions where the velocity

due to rotation is small to where it is greater, and they consequently

fall behind. Thus, in the northern hemisphere a north wind, as it moves

away from its northern source of origin, is gradually deflected more and

more towards the west and becomes a north-east current; while in the

opposite hemisphere a wind making from high southern latitudes towards

the equator becomes, from the same cause, a south-east current. Where,

on the other hand, the air moves from the equatorial to the polar

regions its higher velocity of rotation carries it eastward, so that on

the south side of the equator it becomes a north-west current and on the

north side a south-west current. It is to this cause that the easting

and westing of the great atmospheric currents are to be attributed, as

is familiarly exemplified in the trade winds.

The atmospheric circulation thus deflected influences the circulation of

the ocean. The winds which persistently blow from the north-east on the

north side of the equator, and from the south-east on the south side,

drive the superficial waters onwards, and give rise to converging

oceanic currents which unite to form the great westerly equatorial

current.

A more direct effect of terrestrial rotation has been claimed in the

case of rivers which flow in a meridional direction. It has been

asserted that those, which in the northern hemisphere flow from north to

south, like the Volga, by continually passing into regions where the

velocity of rotation is increasingly greater, are thrown more against

their western than their eastern banks, while those whose general course

is in an opposite direction, like the Irtisch and Yenesei, press more

upon their eastern sides. There cannot be any doubt that the tendency of

the streams must be in the directions indicated. But when the

comparatively slow current and constantly meandering course of most

rivers are taken into consideration, it may be doubted whether the

influence of rotation is of much practical account so far as

river-erosion is concerned.

One of the cosmical relations of our planet which has been more

especially prominent in geological speculations relates to the position

of the earth's axis of rotation. Abundant evidence has now been obtained

to prove that at a comparatively late geological period a rich flora,

resembling that of warm climates at the present day, existed in high

latitudes even within less than 9 deg. of the north pole, where, with an

extremely low temperature and darkness lasting for half of the year, no

such vegetation could possibly now exist. It has accordingly been

maintained by many geologists that the axis of rotation must have

shifted, and that when the remarkable Arctic assemblage of fossil plants

lived the region of their growth must have lain in latitudes much nearer

to the equator of the time.

The possibility of any serious displacement of the rotational axis since

a very early period in the earth's history has been strenuously denied

by astronomers, and their arguments have been generally, but somewhat

reluctantly, accepted by geologists, who find themselves confronted with

a problem which has hitherto seemed insoluble. That the axis is not

rigidly stable, however, has been postulated by some physicists, and has

now been demonstrated by actual observation and measurement. It is

admitted that by the movement of large bodies of water the air over the

surface of the globe, and more particularly by the accumulation of vast

masses of snow and ice in different regions, the position of the axis

might be to some extent shifted; more serious effects might follow from

widespread upheavals or depressions of the surface of the lithosphere.

On the assumption of the extreme rigidity of the earth's interior,

however, the general result of mathematical calculation is to negative

the supposition that in any of these ways within the period represented

by what is known as the "geological record," that is, since the time of

the oldest known sedimentary formations, the rotational axis has ever

been so seriously displaced as to account for such stupendous geological

events as the spread of a luxuriant vegetation far up into polar

latitudes. If, however, the inside of the globe possesses a great

plasticity than has been allowed, the shifting of the axis might not be

impossible, even to such an extent as would satisfy the geological

requirements. This question is one on which the last word has not been

said, and regarding which judgment must remain in suspense.

In recent years fresh information bearing on the minor devagations of

the pole has been obtained from a series of several thousand careful

observations made in Europe and North America. It has thus been

ascertained that the pole wanders with a curiously irregular but

somewhat spiral movement, within an amplitude of between 40 and 50 ft.,

and completes its erratic circuit in about 428 days. It was not supposed

that its movement had any geological interest, but Dr John Milne has

recently pointed out that the times of sharpest curvature in the path of

the pole coincide with the occurrence of large earthquakes, and has

suggested that, although it can hardly be assumed that this coincidence

shows any direct connexion between earthquake frequency and changes in

the position of the earth's axis, both effects may not improbably arise

from the same redistribution of surface material by ocean currents and

meteorological causes.

If for any reason the earth's centre of gravity were sensibly displaced,

momentous geological changes would necessarily ensue. That the centre of

gravity does not coincide with the centre of figure of the globe, but

lies to the south of it, has long been known. This greater aggregation

of dense material in the southern hemisphere probably dates from the

early ages of the earth's consolidation, and it is difficult to believe

that any readjustment of the distribution of this material in the

earth's interior is now possible. But certain rearrangements of the

hydrosphere on the surface of the globe may, from time to time, cause a

shifting of the centre of gravity, which will affect the level of the

ocean. The accumulation of enormous masses of ice around the pole will

give rise to such a displacement, and will thus increase the body of

oceanic water in the glaciated hemisphere. Various calculations have

been made of the effect of the transference of the ice-cap from one pole

to the other, a revolution which may possibly have occurred more than

once in the past history of the globe. James Croll estimated that if the

mass of ice in the southern hemisphere be assumed to be 1000 ft. thick

down to lat. 60 deg., its removal to the opposite hemisphere would raise

the level of the sea 80 ft. at the north pole, while the Rev. Osmond

Fisher made the rise as much as 409 ft. The melting of the ice would

still further raise the sea-level by the addition of so large a volume

of water to the ocean. To what extent superficial changes of this kind

have operated in geological history remains an unsolved problem, but

their probable occurrence in the past has to be recognized as one of the

factors that must be considered in tracing the revolutions of the

earth's surface.

_The Age of the Earth._--Intimately connected with the relations of our

globe to the sun and the other members of the solar system is the

question of the planet's antiquity--a subject of great geological

importance, regarding which much discussion has taken place since the

middle of the 19th century. Though an account of this discussion

necessarily involves allusion to departments of geology which are more

appropriately referred to in later parts of this article, it may perhaps

be most conveniently included here.

Geologists were for many years in the habit of believing that no limit

could be assigned to the antiquity of the planet, and that they were at

liberty to make unlimited drafts on the ages of the past. In 1862 and

subsequent years, however, Lord Kelvin (then Sir William Thomson)

pointed out that these demands were opposed to known physical facts, and

that the amount of time required for geological history was not only

limited, but must have been comprised within a comparatively narrow

compass. His argument rested on three kinds of evidence: (1) the

internal heat and rate of cooling of the earth; (2) the tidal

retardation of the earth's rotation; and (3) the origin and age of the

sun's heat.

1. Applying Fourier's theory of thermal conductivity, Lord Kelvin

contended that in the known rate of increase of temperature downward and

beneath the surface, and the rate of loss of heat from the earth, we

have a limit to the antiquity of the planet. He showed, from the data

available at the time, that the superficial consolidation of the globe

could not have occurred less than 20 million years ago, or the

underground heat would have been greater than it is; nor more than 400

million years ago, otherwise the underground temperature would have

shown no sensible increase downwards. He admitted that very wide limits

were necessary. In subsequently discussing the subject, he inclined

rather towards the lower than the higher antiquity, but concluded that

the limit, from a consideration of all the evidence, must be placed

within some such period of past time as 100 millions of years.

2. The argument from tidal retardation proceeds on the admitted fact

that, owing to the friction of the tide-wave, the rotation of the earth

is retarded, and is, therefore, much slower now than it must have been

at one time. Lord Kelvin affirmed that had the globe become solid some

10,000 million years ago, or indeed any high antiquity beyond 100

million years, the centrifugal force due to the more rapid rotation must

have given the planet a very much greater polar flattening than it

actually possesses. He admitted, however, that, though 100 million years

ago that force must have been about 3% greater than now, yet "nothing

we know regarding the figure of the earth, and the disposition of land

and water, would justify us in saying that a body consolidated when

there was more centrifugal force by 3% than now, might not now be in all

respects like the earth, so far as we know it at present."

3. The third argument, based upon the age of the sun's heat, is

confessedly less to be relied on than the two previous ones. It proceeds

upon calculations as to the amount of heat which would be available by

the falling together of masses from space, which gave rise by their

impact to our sun. The vagueness of the data on which this argument

rests may be inferred from the fact that in one passage P.G. Tait placed

the limit of time during which the sun has been illuminating the earth

as, "on the very highest computation, not more than about 15 or 20

millions of years"; while, in another sentence of the same volume, he

admitted that, "by calculations in which there is no possibility of

large error, this hypothesis [of the origin of the sun's heat by the

falling together of masses of matter] is thoroughly competent to explain

100 millions of years' solar radiation at the present rate, perhaps

more." In more recently reviewing his argument, Lord Kelvin expressed

himself in favour of more strictly limiting geological time than he had

at first been disposed to do. He insists that the time "was more than 20

and less than 40 millions of years and probably much nearer 20 than 40."

Geologists appear to have reluctantly brought themselves to believe that

perhaps, after all, 100 millions of years might suffice for the

evolution of geological history. But when the time was cut down to 15 or

20 millions they protested that such a restricted period was

insufficient for that evolution, and though they did not offer any

effective criticism of the arguments of the physicists they felt

convinced that there must be some flaw in the premises on which these

arguments were based.

By degrees, however, there have arisen among the physicists themselves

grave doubts as to the validity of the physical evidence on which the

limitation of the earth's age has been founded, and at the same time

greater appreciation has been shown of the signification and strength of

the geological proofs of the high antiquity of our planet. In an address

from the chair of the Mathematical Section of the British Association in

1886, Professor (afterwards Sir) George Darwin reviewed the controversy,

and pronounced the following deliberate judgment in regard to it: "In

considering these three arguments I have adduced some reasons against

the validity of the first [tidal friction], and have endeavoured to show

that there are elements of uncertainty surrounding the second [secular

cooling of the earth]; nevertheless, they undoubtedly constitute a

contribution of the first importance to physical geology. Whilst, then,

we may protest against the precision with which Professor Tait seeks to

deduce results from them, we are fully justified in following Sir

William Thomson, who says that 'the existing state of things on the

earth, life on the earth--all geological history showing continuity of

life--must be limited within some such period of past time as 100

million years'." Lord Kelvin has never dealt with the geological and

palaeontological objections against the limitation of geological time to

a few millions of years. But Professor Darwin, in the address just

cited, uttered the memorable warning: "At present our knowledge of a

definite limit to geological time has so little precision that we should

do wrong summarily to reject theories which appear to demand longer

periods of time than those which now appear allowable." In his

presidential address to the British Association at Cape Town in 1905 he

returned to the subject, remarking that the argument derived from the

increase of underground temperature "seems to be entirely destroyed" by

the discovery of the properties of radium. He thinks that "it does not

seem extravagant to suppose that 500 to 1000 million years may have

elapsed since the birth of the moon." He has "always believed that the

geologists were more nearly correct than the physicists, notwithstanding

the fact that appearances were so strongly against them," and he

concludes thus: "It appears, then, that the physical argument is not

susceptible of a greater degree of certainty than that of the

geologists, and the scale of geological time remains in great measure

unknown" (see also Tide, chap. viii.).

In an address to the mathematical section of the American Association

for the Advancement of Science in 1889, the vice-president of the

section, R.S. Woodward, thus expressed himself with regard to the

physical arguments brought forward by Lord Kelvin and Professor Tait in

limitation of geological time: "Having been at some pains to look into

this matter, I feel bound to state that, although the hypothesis appears

to be the best which can be formulated at present, the odds are against

its correctness. Its weak links are the unverified assumptions of an

initial uniform temperature and a constant diffusivity. Very likely

these are approximations, but of what order we cannot decide.

Furthermore, if we accept the hypothesis, the odds appear to be against

the present attainment of trustworthy numerical results, since the data

for calculation, obtained mostly from observations on continental areas,

are far too meagre to give satisfactory average values for the entire

mass of the earth."

Still more emphatic is the protest made from the physical side by

Professor John Perry. He has attacked each of the three lines of

argument of Lord Kelvin, and has impugned the validity of the

conclusions drawn from them. The argument from tidal retardation he

dismisses as fallacious, following in this contention the previous

criticism of the Rev. Maxwell Close and Sir George Darwin. In dealing

with the argument based on the secular cooling of the earth, he holds it

to be perfectly allowable to assume a much higher conductivity for the

interior of the globe, and that such a reasonable assumption would

enable us greatly to increase our estimate of the earth's antiquity. As

for the third argument, from the age of the sun's heat, he points out

that the sun may have been repeatedly fed by a supply of meteorites from

outside, while the earth may have been protected from radiation, and

been able to retain much of its heat by being enveloped in a dense

atmosphere. Remarking that "almost anything is possible as to the

present internal state of the earth," he concludes thus: "To sum up, we

can find no published record of any lower maximum age of life on the

earth, as calculated by physicists, than 400 millions of years. From the

three physical arguments Lord Kelvin's higher limits are 1000, 400 and

500 million years. I have shown that we have reasons for believing that

the age, from all these, may be very considerably underestimated. It is

to be observed that if we exclude everything but the arguments from mere

physics, the _probable_ age of life on the earth is much less than any

of the above estimates; but if the palaeontologists have good reasons

for demanding much greater times, I see nothing from the physicists'

point of view which denies them four times the greatest of these

estimates."

A fresh line of argument against Lord Kelvin's limitation of the

antiquity of our globe has recently been started by the remarkable

discoveries in radio-activity. From the ascertained properties of radium

it appears to be possible that our estimates of solar heat, as derived

from the theory of gravitation, may have to be augmented ten or twenty

times; that stores of radium and similar bodies within the earth may

have indefinitely deferred the establishment of the present temperature

gradient from the surface inward; that consequently the earth may have

remained for long ages at a temperature not greatly different from that

which it now possesses, and hence that the times during which our globe

has supported animal and vegetable life may be very much longer than

that allowed in the estimates previously made by physicists from other

data (see RADIOACTIVITY).

The arguments from the geological side against the physical contention

that would limit the age of our globe to some 10 or 20 millions of years

are mainly based on the observed rates of geological and biological

changes at the present time upon land and sea, and on the nature,

physical history and organic contents of the stratified crust of the

earth. Unfortunately, actual numerical data are not obtainable in many

departments of geological activity, and even where they can be procured

they do not yet rest on a sufficiently wide collection of accurate and

co-ordinated observations. But in some branches of dynamical geology,

material exists for, at least, a preliminary computation of the rate of

change. This is more especially the case in respect of the wide domain

of denudation. The observational records of the action of the sea, of

springs, rivers and glaciers are becoming gradually fuller and more

trustworthy. A method of making use of these records for estimating the

rate of denudation of the land has been devised. Taking the Mississippi

as a general type of river action, it has been shown that the amount of

material conveyed by this stream into the sea in one year is equivalent

to the lowering of the general surface of the drainage basin of the

river by 1/6000 of a foot. This would amount to one foot in 6000 years

and 1000 ft. in 6 million years. So that at the present rate of waste in

the Mississippi basin a whole continent might be worn away in a few

millions of years.

It is evident that as deposition and denudation are simultaneous

processes, the ascertainment of the rate at which solid material is

removed from the surface of the land supplies some necessary information

for estimating the rate at which new sedimentary formations are being

accumulated on the floor of the sea, and for a computation of the length

of time that would be required at the present rate of change for the

deposition of all the stratified rocks that enter into the composition

of the crust of our globe. If the thickness of these rocks be assumed to

be 100,000 ft., and if we could suppose them to have been laid down over

as wide an area as that of the drainage basins from the waste of which

they were derived, then at the present rate of denudation their

accumulation would require some 600 millions of years. But, as Dr A.R.

Wallace has justly pointed out, the tract of sea-floor over which the

material derived from the waste of the terrestrial surface is laid down

is at present much less than that from which this material is worn away.

We have no means, however, of determining what may have been the ratio

between the two areas in past time. Certainly ancient marine sedimentary

rocks cover at the present day a much more extensive area than that in

which they are now being elaborated. If we take the ratio postulated by

Dr Wallace--1 to 19--the 100,000 ft. of sedimentary strata would require

31 millions of years for their accumulation. It is quite possible,

however, that this ratio may be much too high. There are reasons for

believing that the proportion of coast-line to land area has been

diminishing during geological time; in other words, that in early times

the land was more insular and is now more continental. So that the 31

millions of years may be much less than the period that would be

required, even on the supposition of continuous uninterrupted denudation

and sedimentation, during the whole of the time represented by the

stratified formations.

But no one who has made himself familiar with the actual composition of

these formations and the detailed structure of the terrestrial crust can

fail to recognize how vague, imperfect and misleading are the data on

which such computations are founded. It requires no prolonged

acquaintance with the earth's crust to impress upon the mind that one

all-important element is omitted, and indeed can hardly be allowed for

from want of sufficiently precise data, but the neglect of which must

needs seriously impair the value of all numerical calculations made

without it. The assumption that the stratified formations can be treated

as if they consisted of a continuous unbroken sequence of sediments,

indicating a vast and uninterrupted process of waste and deposition, is

one that is belied on every hand by the actual structure of these

formations. It can only give us a minimum of the time required; for,

instead of an unbroken series, the sedimentary formations are full of

"unconformabilities"--gaps in the sequence of the chronological

records--as if whole chapters and groups of chapters had been torn out

of a historical work. It can often be shown that these breaks of

continuity must have been of vast duration, and actually exceeded in

chronological importance thick groups of strata lying below and above

them (see Part VI.). Moreover, even among the uninterrupted strata,

where no such unconformabilities exist, but where the sediments follow

each other in apparently uninterrupted sequence, and might be thought to

have been deposited continuously at the same general rate, and without

the intervention of any pause, it can be demonstrated that sometimes an

inch or two of sediment might, on certain horizons, represent the

deposit of an enormously longer period than a hundred or a thousand

times the same amount of sediment on other horizons. A prolonged study

of these questions leads to a profound conviction that in many parts of

the geological record the time represented by sedimentary deposits may

be vastly less than the time which is not so represented.

It has often been objected that the present rate of geological change

ought not to be taken as a measure of the rate in past time, because the

total sum of terrestrial energy has been steadily diminishing, and

geological processes must consequently have been more vigorous in former

ages than they are now. Geologists do not pretend to assert that there

has been no variation or diminution in the activities of the various

processes which they have to study. What they do insist on is that the

present rate of change is the only one which we can watch and measure,

and which will thus supply a statistical basis for any computations on

the subject. But it has been dogmatically affirmed that because

terrestrial energy has been diminishing therefore all kinds of

geological work must have been more vigorously and more rapidly carried

on in former times than now; that there were far more abundant and more

stupendous volcanoes, more frequent and more destructive earthquakes,

more gigantic upheavals and subsidences, more powerful oceanic waves and

tides, more violent atmospheric disturbances with heavier rainfall and

more active denudation.

It is easy to make these assertions, and they look plausible; but, after

all, they rest on nothing stronger than assumption. They can be tested

by an appeal to the crust of the earth, in which the geological history

of our planet has been so fully recorded. Had such portentous

manifestations of geological activity ever been the normal condition of

things since the beginning of that history, there ought to be a record

of them in the rocks. But no evidence for them has been found there,

though it has been diligently sought for in all quarters of the globe.

We may confidently assert that while geological changes may quite

possibly have taken place on a gigantic scale in the earliest ages of

the earth's existence, of which no geological record remains, there is

no proof that they have ever done so since the time when the very oldest

of the stratified formations were deposited. There is no need to

maintain that they have always been conducted precisely on the same

scale as now, or to deny that they may have gradually become less

vigorous as the general sum of terrestrial energy has diminished. But we

may unhesitatingly affirm that no actual evidence of any such

progressive diminution of activity has been adduced from the geological

record in the crust of the earth: that, on the contrary, no appearances

have been detected there which necessarily demand the assumption of

those more powerful operations postulated by physicists, or which are

not satisfactorily explicable by reference to the existing scale of

nature's processes.

That this conclusion is warranted even with regard to the innate energy

of the globe itself will be seen if we institute a comparison between

the more ancient and the more recent manifestations of that energy.

Take, for example, the proofs of gigantic plication, fracture and

displacement within the terrestrial crust. These, as they have affected

the most ancient rocks of Europe, have been worked out in great detail

in the north-west of Scotland. But they are not essentially different

from or on a greater scale than those which have been proved to have

affected the Alps, and to have involved strata of so recent a date as

the older Tertiary formations. On the contrary, it may be doubted

whether any denuded core of an ancient mountain-chain reveals traces of

such stupendous disturbances of the crust as those which have given rise

to the younger mountain-chains of the globe. It may, indeed, quite well

have been the rule that instead of diminishing in intensity of effect,

the consequences of terrestrial contraction have increased in magnitude,

the augmenting thickness of the crust offering greater resistance to

the stresses, and giving rise to vaster plications, faults,

thrust-planes and metamorphism, as this growing resistance had to be

overcome.

The assertion that volcanic action must have been more violent and more

persistent in ancient times than it is now has assuredly no geological

evidence in its support. It is quite true that there are vastly more

remains of former volcanoes scattered over the surface of the globe than

there are active craters now, and that traces of copious eruptions of

volcanic material can be followed back into some of the oldest parts of

the geological record. But we have no proof that ever at any one time in

geological history there have been more or larger or more vigorous

volcanoes than those of recent periods. It may be said that the absence

of such proof ought not to invalidate the assertion until a far wider

area of the earth's surface has been geologically studied. But most

assuredly, as far as geological investigation has yet gone, there is an

overwhelming body of evidence to show that from the earliest epochs in

geological history, as registered in the stratified rocks, volcanic

action has manifested itself very much as it does now, but on a less

rather than on a greater scale. Nowhere can this subject be more

exhaustively studied than in the British Isles, where a remarkably

complete series of volcanic eruptions has been chronicled ranging from

the earliest Palaeozoic down to older Tertiary time. The result of a

prolonged study of British volcanic geology has demonstrated that, even

to minute points of detail, there has been a singular uniformity in the

phenomena from beginning to end. The oldest lavas and ashes differ in no

essential respect from the youngest. Nor have they been erupted more

copiously or more frequently. Many successive volcanic periods have

followed each other after prolonged intervals of repose, each displaying

the same general sequence of phenomena and similar evidence of gradual

diminution and extinction. The youngest, instead of being the feeblest,

were the most extensive outbursts in the whole of this prolonged series.

If now we turn for evidence of the alleged greater activity of all the

epigene or superficial forces, and especially for proofs of more rapid

denudation and deposition on the earth's surface, we search for it in

vain among the stratified formations of the terrestrial crust. Had the

oldest of these rocks been accumulated in a time of great atmospheric

perturbation, of torrential rains, colossal tides and violent storms, we

might surely expect to find among the sediments some proof of such

disturbed meteorological and geographical conditions. We should look, on

the one hand, for tumultuous accumulations of coarse unworn detritus,

rapidly swept by rains, floods and waves from land to sea, and on the

other hand, for an absence of any evidence of the tranquil and

continuous deposit of such fine laminated silt as could only settle in

quiet water. But an appeal to the geological record is made in vain for

any such proofs. The oldest sediments, like the youngest, reveal the

operation only of such agents and such rates of activity as are still to

be witnessed in the accumulation of the same kind of deposits. If, for

instance, we search the most ancient thick sedimentary formation in

Britain--the Torridon Sandstone of north-west Scotland, which is older

than the oldest fossiliferous deposits--we meet with nothing which might

not be found in any Palaeozoic, Mesozoic or Cainozoic group of similar

sediments. We see an accumulation, at least 8000 or 10,000 ft. thick, of

consolidated sand, gravel and mud, such as may be gathering now on the

floor of any large mountain-girdled lake. The conglomerates of this

ancient series are not pell-mell heaps of angular detritus, violently

swept away from the land and huddled promiscuously on the sea-floor.

They are, in general, built up of pebbles that have been worn smooth,

rounded and polished by prolonged attrition in running water, and they

follow each other on successive platforms with intervening layers of

finer sediment. The sandstones are composed of well water-worn sand,

some of which has been laid down so tranquilly that its component grains

have been separated out in layers according to their specific gravity,

in such manner that they now present dark laminae in which particles of

magnetic iron, zircon and other heavy minerals have been sifted out

together, just as iron-sand may be seen gathered into thin sheets on

sandy beaches at the present day. Again, the same series of primeval

sediments includes intercalations of fine silt, which has been deposited

as regularly and intermittently there as it has been among the most

recent formations. These bands of shale have been diligently searched

for fossils, as yet without success; but they may eventually disclose

organic remains older than any hitherto found in Europe.

We now come to the consideration of the palaeontological evidence as to

the value of geological time. Here the conclusions derived from a study

of the structure of the sedimentary formations are vastly strengthened

and extended. In the first place, the organization of the most ancient

plants and animals furnishes no indication that they had to contend with

any greater violence of storm, flood, wave or ocean-current than is

familiar to their modern descendants. The oldest trees, shrubs, ferns

and club-mosses display no special structures that suggest a difference

in the general conditions of their environment. The most ancient

crinoids, sponges, crustaceans, arachnids and molluscs were as

delicately constructed as those of to-day, and their remains are often

found in such perfect preservation as to show that neither during their

lifetime nor after their death were they subject to any greater violence

of the elements than their living representatives now experience. Of

much more cogency, however, is the evidence supplied by the grand upward

succession of organic forms, from the most ancient stratified rocks up

to the present day. No biologist now doubts for a moment that this

marvellous succession is the result of a gradual process of evolution

from lower to higher types of organization. There may be differences of

opinion as to the causes which have governed this process and the order

of the steps through which it has advanced, but no one who is conversant

with the facts will now venture to deny that it has taken place, and

that, on any possible explanation of its progress, it must have demanded

an enormous lapse of time. In the Cambrian or oldest fossiliferous

formations there is already a large and varied fauna, in which the

leading groups of invertebrate life are represented. On no tenable

hypothesis can these be regarded as the first organisms that came into

being on our planet. They must have had a long ancestry, and as Darwin

first maintained, the time required for their evolution may have been

"as long as, or probably far longer than, the whole interval from the

Silurian [Cambrian] age to the present day." The records of these

earliest eras of organic development have unfortunately not survived the

geological revolutions of the past; at least, they have not yet been

recovered. But it cannot be doubted that they once existed and

registered their testimony to the prodigious lapse of time prior to the

deposition of the most ancient fossiliferous formations which have

escaped destruction.

The impressive character of the evidence furnished by the sequence of

organic forms throughout the great series of fossiliferous strata can

hardly be fully realized without a detailed and careful study of the

subject. Professor E.B. Poulton, in an address to the zoological section

of the British Association at the Liverpool Meeting in 1896, showed how

overwhelming are the demands which this evidence makes for long periods

of time, and how impossible it is of comprehension unless these demands

be conceded. The history of life upon the earth, though it will probably

always be surrounded with great and even insuperable difficulties,

becomes broadly comprehensible in its general progress when sufficient

time is granted for the evolution which it records; but it remains

unintelligible on any other conditions.

Taken then as a whole, the body of evidence, geological and

palaeontological, in favour of the high antiquity of our globe is so

great, so manifold, and based on such an ever-increasing breadth of

observation and reflection, that it may be confidently appealed to in

answer to the physical arguments which would seek to limit that

antiquity to ten or twenty millions of years. In the present state of

science it is out of our power to state positively what must be the

lowest limit of the age of the earth. But we cannot assume it to be much

less, and it may possibly have been much more, than the 100 millions of

years which Lord Kelvin was at one time willing to concede.[2]

PART III.--GEOGNOSY. THE INVESTIGATION OF THE NATURE AND COMPOSITION OF

THE MATERIALS OF WHICH THE EARTH CONSISTS

This division of the science is devoted to a description of the parts of

the earth--of the atmosphere and ocean that surround the planet, and

more especially of the solid materials that underlie these envelopes and

extend downwards to an unknown distance into the interior. These various

constituents of the globe are here considered as forms of matter capable

of being analysed, and arranged according to their composition and the

place they take in the general composition of the globe.

Viewed in the simplest way the earth may be regarded as made up of three

distinct parts, each of which ever since an early period of planetary

history has been the theatre of important geological operations. (1) An

envelope of air, termed the _atmosphere_, which surrounds the whole

globe; (2) A lower and less extensive envelope of water, known as the

_hydrosphere_ (Gr. [Greek: hydor], water) which, constituting the oceans

and seas, covers nearly three-fourths of the underlying solid surface of

the planet; (3) A globe, called the _lithosphere_ (Gr. [Greek: lithos],

stone), the external part of which, consisting of solid stone, forms the

_crust_, while underneath, and forming the vast mass of the interior,

lies the _nucleus_, regarding the true constitution of which we are

still ignorant.

1. _The Atmosphere._--The general characters of the atmosphere are

described in separate articles (see especially ATMOSPHERE; METEOROLOGY).

Only its relations to geology have here to be considered. As this

gaseous envelope encircles the whole globe it is the most universally

present and active of all the agents of geological change. Its efficacy

in this respect arises partly from its composition, and the chemical

reactions which it effects upon the surface of the land, partly from its

great variations in temperature and moisture, and partly from its

movements.

Many speculations have been made regarding the chemical composition of

the atmosphere during former geological periods. There can indeed be

little doubt that it must originally have differed greatly from its

present condition. If the whole mass of the planet originally existed

in a gaseous state, there would be practically no atmosphere. The

present outer envelope of air may be considered to be the surviving

relic of this condition, after all the other constituents have been

incorporated into the hydrosphere and lithosphere. The oxygen, which

now forms fully a half of the outer crust of the earth, was doubtless

originally, whether free or in combination, part of the atmosphere.

So, too, the vast beds of coal found all over the world, in geological

formations of many different ages, represent so much carbonic acid

once present in the air. The chlorides and other salts in the sea may

likewise partly represent materials carried down out of the atmosphere

in the primitive condensation of the aqueous vapour, though they have

been continually increased ever since by contributions from the

drainage of the land. It has often been suggested that, during the

Carboniferous period, the atmosphere must have been warmer and more

charged with aqueous vapour and carbon dioxide than at the present

day, to admit of so luxuriant a flora as that from which the

coal-seams were formed. There seems, however, to be at present no

method of arriving at any certainty on this subject. Lastly, the

amount of carbonic acid absorbed in the weathering of rocks at the

surface, and the consequent production of carbonates, represents an

enormous abstraction of this gas.

As at present constituted, the atmosphere is regarded as a mechanical

mixture of nearly four volumes of nitrogen and one of oxygen, together

with an average of 3.5 parts of carbon dioxide in every 10,000 parts

of air, and minute quantities of various other gases and solid

particles. Of the vapours contained in it by far the most important is

that of water which, although always present, varies greatly in amount

according to variations in temperature. By condensation the water

vapour appears in visible form as dew, mist, cloud, rain, hail, snow

and ice, and in these forms includes and carries down some of the

other vapours, gases and solid particles present in the air. The

circulation of water from the atmosphere to the land, from the land to

the sea, and again from the sea to the land, forms the great

geological process whereby the habitable condition of the planet is

maintained and the surface of the land is sculptured (Part IV.).

2. _The Hydrosphere._--The water envelope covers nearly three-fourths of

the surface of the earth, and forms the various oceans and seas which,

though for convenience of reference distinguished by separate names, are

all linked together in one great body. The physical characters of this

vast envelope are discussed in separate articles (see OCEAN and

OCEANOGRAPHY). Viewed from the geological standpoint, the features of

the sea that specially deserve attention are first the composition of

its waters, and secondly its movements.

Sea-water is distinguished from that of ordinary lakes and rivers by

its greater specific gravity and its saline taste. Its average density

is about 1.026, but it varies even within the same ocean, being least

where large quantities of fresh water are added from rain or melting

snow and ice, and greatest where evaporation is most active. That

sea-water is heavier than fresh arises from the greater proportion of

salts which it contains in solution. These salts constitute about

three and a half parts in every hundred of water. They consist mainly

of chlorides of sodium and magnesium, the sulphates of magnesium,

calcium and potassium, with minuter quantities of magnesium bromide

and calcium carbonate. Still smaller proportions of other substances

have been detected, gold for example having been found in the

proportion of 1 part in 15,180,000.

That many of the salts have existed in the sea from the time of its

first condensation out of the primeval atmosphere appears to be

probable. It is manifest, however, that, whatever may have been the

original composition of the oceans, they have for a vast section of

geological time been constantly receiving mineral matter in solution

from the land. Every spring, brook and river removes various salts

from the rocks over which it moves, and these substances, thus

dissolved, eventually find their way into the sea. Consequently

sea-water ought to contain more or less traceable proportions of every

substance which the terrestrial waters can remove from the land, in

short, of probably every element present in the outer shell of the

globe, for there seems to be no constituent of this earth which may

not, under certain circumstances, be held in solution in water.

Moreover, unless there be some counteracting process to remove these

mineral ingredients, the ocean water ought to be growing, insensibly

perhaps, but still assuredly, saltier, for the supply of saline matter

from the land is incessant.

To the geologist the presence of mineral solutions in sea-water is a

fact of much importance, for it explains the origin of a considerable

part of the stratified rocks of the earth's crust. By evaporation the

water has given rise to deposits of rock-salt, gypsum and other

materials. The lime contained in solution, whether as sulphate or

carbonate, has been extracted by many tribes of marine animals, which

have thus built up out of their remains vast masses of solid

limestone, of which many mountain-chains largely consist.

Another important geological feature of the sea is to be seen in the

fact that its basins form the great receptacles for the detritus worn

away from the land. Besides the limestones, the visible parts of the

terrestrial crust are, in large measure, composed of sedimentary rocks

which were originally laid down on the sea-bottom. Moreover, by its

various movements, the sea occupies a prominent place among the

epigene or superficial agents which produce geological changes on the

surface of the globe.

3. _The Lithosphere._--Beneath the gaseous and liquid envelopes lies the

solid part of the planet, which is conveniently regarded as consisting

of two parts,--(a) the crust, and (b) the interior or nucleus.

The crust.

It was for a long time a prevalent belief that the interior of the globe

is a molten mass round which an outer shell has gradually formed through

cooling. Hence the term "crust" was applied to this external solid

envelope, which was variously computed to be 10, 20, or more miles in

thickness. The portion of this crust accessible to human observation was

seen to afford abundant evidence of vast plications and corrugations of

its substance, which were regarded as only explicable on the supposition

of a thin solid collapsible shell floating on a denser liquid interior.

When, however, physical arguments were adduced to show the great

rigidity of the earth as a whole, the idea of a thin crust enclosing a

molten nucleus was reluctantly abandoned by geologists, who found the

problem of the earth's interior to be incapable of solution by any

evidence which their science could produce. They continued, however, to

use the term "crust" as a convenient word to denote the cool outer layer

of the earth's mass, the structure and history of which form the main

subjects of geological investigation. More recently, however, various

lines of research have concurred in suggesting that, whatever may be the

condition of the interior, its substance must differ greatly from that

of the outer shell, and that there may be more reason than appeared for

the retention of the name of crust. Observations on earthquake motion by

Dr John Milne and others, show that the rate and character of the waves

transmitted through the interior of the earth differ in a marked degree

from those propagated along the crust. This difference indicates that

rocky material, such as we know at the surface, may extend inwards for

some 30 m., below which the earth's interior rapidly becomes fairly

homogeneous and possesses a high rigidity. From measurements of the

force of gravity in India by Colonel S.G. Burrard, it has been inferred

that the variations in density of the outer parts of the earth do not

descend farther than 30 or 40 m., which might be assumed to be the limit

of the thickness of the crust. Recent researches in regard to the

radio-active substances present in rocks suggest that the crust is not

more than 50 m. thick, and that the interior differs from it in

possessing little or no radio-active material.

The interior.

Though we cannot hope ever to have direct acquaintance with more than

the mere outside skin of our planet, we may be led to infer the

irregular distribution of materials within the crust from the present

distribution of land and water, and the observed differences in the

amount of deflection of the plumb-line near the sea and near

mountain-chains. The fact that the southern hemisphere is almost wholly

covered with water appears explicable only on the assumption of an

excess of density in the mass of that portion of the planet. The

existence of such a vast sheet of water as that of the Pacific Ocean is

to be accounted for, as Archdeacon J.H. Pratt pointed out, by the

presence of "some excess of matter in the solid parts of the earth

between the Pacific Ocean and the earth's centre, which retains the

water in its place, otherwise the ocean would flow away to the other

parts of the earth." A deflection of the plumb-line towards the sea,

which has in a number of cases been observed, indicates that "the

density of the crust beneath the mountains must be less than that below

the plains, and still less than that below the ocean-bed." Apart

therefore from the depression of the earth's surface in which the oceans

lie, we must regard the internal density, whether of crust or nucleus,

to be somewhat irregularly arranged, there being an excess of heavy

materials in the water hemisphere, and beneath the ocean-beds, as

compared with the continental masses.

In our ignorance regarding the chemical constitution of the nucleus of

our planet, an argument has sometimes been based upon the known fact

that the specific gravity of the globe as a whole is about double that

of the crust. This has been held by some writers to prove that the

interior must consist of much heavier material and is therefore probably

metallic. But the effect of pressure ought to make the density of the

nucleus much higher, even if the interior consisted of matter no heavier

than the crust. That the total density of the planet does not greatly

exceed its observed amount seems only explicable on the supposition that

some antagonistic force counteracts the effects of pressure. The only

force we can suppose capable of so acting is heat. But comparatively

little is yet known regarding the compression of gases, liquids and

solids under such vast pressures as must exist within the nucleus.

That the interior of the earth possesses a high temperature is inferred

from the evidence of various sources. (1) Volcanoes, which are openings

that constantly, or intermittently, give out hot vapours and molten lava

from reservoirs beneath the crust. Besides active volcanoes, it is known

that former eruptive vents have been abundantly and widely distributed

over the globe from the earliest geological periods down to our own day.

(2) Hot springs are found in many parts of the globe, with temperatures

varying up to the boiling point of water. (3) From mines, tunnels and

deep borings into the earth it has been ascertained that in all quarters

of the globe below the superficial zone of invariable temperature, there

is a progressive increase of heat towards the interior. The rate of this

increase varies, being influenced, among other causes, by the varying

conductivity of the rocks. But the average appears to be about 1 deg.

Fahr. for every 50 or 60 ft. of descent, as far down as observations

have extended. Though the increase may not advance in the same

proportion at great depths, the inference has been confidently drawn

that the temperature of the nucleus must be exceedingly high.

The probable condition of the earth's interior has been a fruitful

source of speculation ever since geology came into existence; but no

general agreement has been arrived at on the subject. Three chief

hypotheses have been propounded: (1) that the nucleus is a molten mass

enclosed within a solid shell; (2) that, save in local vesicular spaces

which may be filled with molten or gaseous material, the globe is solid

and rigid to the centre; (3) that the great body of the nucleus consists

of incandescent vapours and gases, especially vaporous iron, which under

the gigantic pressure within the earth are so compressed as to confer

practical rigidity on the globe as a whole, and that outside this main

part of the nucleus the gases pass into a shell of molten magma, which,

in turn, shades off outwards into the comparatively thin, cool

solidified crust. Recent seismological observations have led to the

inference that the outer crust, some 30 to 45 m. thick, must rapidly

merge into a fairly homogeneous nucleus which, whatever be its

constitution, transmits undulatory movements through its substance with

uniform velocity and is believed to possess a high rigidity.

The origin of the earth's high internal temperature has been variously

accounted for. Most usually it has been assumed to be the residue of the

original "tracts of fluent heat" out of which the planet shaped itself

into a globe. According to another supposition the effects of the

gradual gravitational compression of the earth's mass have been the main

source of the high temperature. Recent researches in radio-activity, to

which reference has already been made, have indicated another possible

source of the internal heat in the presence of radium in the rocks of

the crust. This substance has been detected in all igneous rocks,

especially among the granites, in quantity sufficient, according to the

Hon. R.J. Strutt, to account for the observed temperature-gradient in

the crust, and to indicate that this crust cannot be more than 45 m.

thick, otherwise the outflow of heat would be greater than the amount

actually ascertained. Inside this external crust containing radio-active

substances, it is supposed, as already stated, that the nucleus consists

of some totally different matter containing little or no radium.

_Constitution of the Earth's Crust._--As the crust of the earth

contains the "geological record," or stony chronicle from which

geology interprets the history of our globe, it forms the main subject

of study to the geologist. The materials of which this crust consists

are known as minerals and rocks. From many chemical analyses, which

have been made of these materials, the general chemical constitution

of, at least, the accessible portion of the crust has been

satisfactorily ascertained. This information becomes of much

importance in speculations regarding the early history of the globe.

Of the elements known to the chemist the great majority form but a

small proportion of the composition of the crust, which is mainly

built up of about twenty of them. Of these by far the most important

are the non-metallic elements oxygen and silicon. The former forms

about 47% and the latter rather more than 28% of the original crust,

so that these two elements make up about three-fourths of the whole.

Next after them come the metals aluminium (8.16%), iron (4.64),

calcium (3.50), magnesium (2.62), sodium (2.63), and potassium (2.35).

The other twelve elements included in the twenty vary in amount from a

proportion of 0.41% in the case of titanium, to not more than 0.01% of

chlorine, fluorine, chromium, nickel and lithium. The other fifty or

more elements exist in such minute proportions in the crust that,

probably, not one of them amounts to as much as 0.01%, though they

include the useful metals, except iron. Taking the crust, and the

external envelopes of the ocean and the air, we thus perceive that

these outer parts of our planet consist of more than three-fourths of

non-metals and less than one-fourth of metals.

The combinations of the elements which are of most importance in the

constitution of the terrestrial crust consist of oxides. From the mean

of a large number of analyses of the rocks of the lower or primitive

portion of the crust, it has been ascertained that silica (SiO2) forms

almost 60% and alumina (Al2O3) upwards of 15% of the whole. The other

combinations in order of importance are lime (CaO) 4.90%, magnesia

(MgO) 4.36, soda (Na2O) 3.55, ferrous oxide (FeO) 3.52, potash (K2O)

2.80, ferric oxide (Fe2O3) 2.63, water (H2O) 1.52, titanium oxide

(TiO2) 0.60, phosphoric acid (P2O5) 0.22; the other combinations of

elements thus form less than 1% of the crust.

These different combinations of the elements enter into further

combinations with each other so as to produce the wide assortment of

simple minerals (see MINERALOGY). Thus, silica and alumina are

combined to form the aluminous silicates, which enter so largely into

the composition of the crust of the earth. The silicates of magnesia,

potash and soda constitute other important families of minerals. A

mass of material composed of one, but more usually of more than one

mineral, is known as a _rock_. Under this term geologists are

accustomed to class not only solid stone, such as granite and

limestone, but also less coherent materials such as clay, peat and

even loose sand. The accessible portion of the earth's crust consists

of various kinds of rocks, which differ from each other in structure,

composition and origin, and are therefore susceptible of diverse

classifications according to the point of view from which they are

considered. The details of this subject will be found in the article

PETROLOGY.

_Classification of Rocks._--Various systems of classification of rocks

have been proposed, but none of them is wholly satisfactory. The most

useful arrangement for most purposes of the geologist is one based on

the broad differences between them in regard to their mode of origin.

From this point of view they may be ranged in three divisions:

1. In the first place, a large number of rocks may be described as

original or underived, for it is not possible to trace them back to

any earlier source. They belong to the primitive constitution of the

planet, and, as they have all come up from below through the crust,

they serve to show the nature of the material which lies immediately

below the outer parts of that crust. They include the numerous

varieties of lava, which have been poured out in a molten state from

volcanic vents, also a great series of other rocks which, though they

may never have been erupted to the surface, have been forced upward in

a melted condition into the other rocks of the crust and have

solidified there. From their mode of origin this great class of rocks

has been called "igneous" or "eruptive." As they generally show no

definite internal structure save such as may result from joints, they

have been termed "massive" or "unstratified," to distinguish them from

those of the second division which are strongly marked out by the

presence of a stratified structure. The igneous rocks present a

considerable range of composition. For the most part they consist

mainly of aluminous silicates, some of them being highly acid

compounds with 75% or more of silica. But they also include highly

basic varieties wherein the proportion of silica sinks to 40%, and

where magnesia greatly predominates over alumina. The textures of

igneous rocks likewise comprise a wide series of varieties. On the one

hand, some are completely vitreous, like obsidian, which is a natural

glass. From this extreme every gradation may be traced through gradual

increase of the products of devitrification, until the mass may become

completely crystalline. Again, some crystalline igneous rocks are so

fine in grain as not to show their component crystals save under the

microscope, while in others the texture is so coarse as to present the

component minerals in separate crystals an inch or more in length.

These differences indicate that, at first, the materials of the rock

may have been as completely molten as artificial glass, and that the

crystalline condition has been subsequently developed by cooling, and

the separation of the chemical constituents into definite crystalline

minerals. Many of the characters of igneous rocks have been reproduced

experimentally by fusing together their minerals, or the constituents

of their minerals, in the proper proportion. But it has not yet been

found possible to imitate the structure of such rocks as granite.

Doubtless these rocks consolidated with extreme slowness at great

depths below the surface, under vast pressures and probably in the

presence of water or water-vapour--conditions which cannot be

adequately imitated in a laboratory.

Though the igneous rocks occupy extensive areas in some countries,

they nevertheless cover a much smaller part of the whole surface of

the land than is taken up by the second division or stratified rocks.

But they increase in quantity downwards and probably extend

continuously round the globe below the other rocks. This important

series brings before us the relations of the molten magma within the

earth to the overlying crust and to the outer surface. On the one

hand, it includes the oldest and most deep-seated extravasations of

that magma, which have been brought to light by ruptures and upheavals

of the crust and prolonged denudation. On the other, it presents to

our study the varied outpourings of molten and fragmentary materials

in the discharges of modern and ancient volcanoes. Between these two

extremes of position and age, we find that the crust has been, as it

were, riddled with injections of the magma from below. These features

will be further noticed in Part V. of this article.

2. The "sedimentary" or "stratified rocks" form by much the larger

part of the dry land of the globe, and they are prolonged to an

unknown distance from the shores under the bed of the sea. They

include those masses of mineral matter which, unlike the igneous

rocks, can be traced back to a definite origin on the surface of the

earth. Three distinct types may be recognized among them: (a) By far

the largest proportion of them consists of different kinds of sediment

derived from the disintegration of pre-existing rocks. In this

"fragmental" group are placed all the varieties of shingle, gravel,

sand, clay and mud, whether these materials remain in a loose

incoherent condition, or have been compacted into solid stone. (b)

Another group consists of materials that have been deposited by

chemical precipitation from solution in water. The white sinter laid

down by calcareous springs is a familiar example on a small scale.

Beds of rock-salt, gypsum and dolomite have, in some regions, been

accumulated to a thickness of many thousand feet, by successive

precipitations of the salt contained in the water of inland seas. (c)

An abundant and highly important series of sedimentary formations has

been formed from the remains of plants and animals. Such accumulations

may arise either from the transport and deposit of these remains, as

in the case of sheets of drift-wood, and banks of drifted sea-shells,

or from the growth and decay of the organisms on the spot, as happens

in peat bogs and in coral-reefs.

As the sedimentary rocks have for the most part been laid down under

water, and more especially on the sea-floor, they are often spoken of

as "aqueous," in contradistinction to the igneous rocks. Some of them,

however, are accumulated by the drifting action of wind upon loose

materials, and are known as "aeolian" formations. Familiar instances

of such wind-formed deposits are the sand-dunes along many parts of

the sea coast. Much more extensive in area are the sands of the great

deserts in the arid regions of the globe.

It is from the sedimentary rocks that the main portion of geological

history is derived. They have been deposited one over another in

successive strata from a remote period in the development of the globe

down to the present time. From this arrangement they have been termed

"stratified," in contrast to the unstratified or igneous series. They

have preserved memorials of the geographical revolutions which the

surface of the earth has undergone; and above all, in the abundant

fossils which they have enclosed, they furnish a momentous record of

the various tribes of plants and animals which have successively

flourished on land and sea. Their investigation is thus the most

important task which devolves upon the geologist.

3. In the third place comes a series of rocks which are not now in

their original condition, but have undergone such alteration as to

have acquired new characters that more or less conceal their first

structures. Some of them can be readily recognized as altered igneous

masses; others are as manifestly of sedimentary origin; while of many

it is difficult to decide what may have been their pristine character.

To this series the term "metamorphic" has been applied. Its members

are specially distinguished by a prevailing fissile, or schistose,

structure which they did not at first possess, and which differs from

anything found in unaltered igneous or sedimentary rocks. This

fissility is combined with a more or less pronounced crystalline

structure. These changes are believed to be the result of movements

within the crust of the earth, whereby the most solid rocks were

crushed and sheared, while, at the same time, under the influence of a

high temperature and the presence of water, they underwent internal

chemical reactions, which led to a rearrangement and recomposition of

their mineral constituents and the production of a crystalline

structure (see METAMORPHISM).

Among the less altered metamorphic rocks of sedimentary origin, the

successive laminae of deposit of the original sediment can be easily

observed; but they are also traversed by a new set of divisional

planes, along which they split across the original bedding. Together

with this superinduced cleavage there have been developed in them

minute hairs, scales and rudimentary crystals. Further stages of

alteration are marked by the increase of micaceous scales, garnets and

other minerals, especially along the planes of cleavage, until the

whole rock becomes crystalline, and displays its chief component

minerals in successive discontinuous folia which merge into each

other, and are often crumpled and puckered. Massive igneous rocks can

be observed to have undergone intense crushing and cleavage, and to

have ultimately assumed a crystalline foliated character. Rocks which

present this aspect are known as schists (q.v.). They range from the

finest silky slates, or phyllites, up to the coarsest gneisses, which

in hand-specimens can hardly be distinguished from granites. There is

indeed every reason to believe that such gneisses were probably

originally true granites, and that their foliation and

recrystallization have been the result of metamorphism.

The schists are more especially to be found in the heart of

mountain-chains, and in regions where the lowest and oldest parts of

the earth's crust have, in the course of geological revolutions, been

exposed to the light of day. They have been claimed by some writers

to be part of the original or primitive surface of our globe that

first consolidated on the molten nucleus. But the progress of

investigation all over the world has shown that this supposition

cannot be sustained. The oldest known rocks present none of the

characters of molten material that has cooled and hardened in the air,

like the various forms of recent lava. On the contrary, they possess

many of the features characteristic of bodies of eruptive material

that have been injected into the crust at some depth underground, and

are now visible at the surface, owing to the removal by denudation of

the rocks under which they consolidated. In their less foliated

portions they can be recognized as true eruptive rocks. In many places

gneisses that possess a thoroughly typical foliation have been found

to pierce ancient sedimentary formations as intrusive bosses and

veins.

PART IV.--DYNAMICAL GEOLOGY

This section of the science includes the investigation of those

processes of change which are at present in progress upon the earth,

whereby modifications are made on the structure and composition of the

crust, on the relations between the interior and the surface, as shown

by volcanoes, earthquakes and other terrestrial disturbances, on the

distribution of oceans and continents, on the outlines of the land, on

the form and depth of the sea-bottom, on climate, and on the races of

plants and animals by which the earth is tenanted. It brings before us,

in short, the whole range of activities which it is the province of

geology to study, and leads us to precise notions regarding their

relations to each other and the results which they achieve. A knowledge

of this branch of the subject is thus the essential groundwork of a true

and fruitful acquaintance with the principles of geology, seeing that it

necessitates a study of the present order of nature, and thus provides a

key for the interpretation of the past.

The whole range of operations included within the scope of inquiry in

this branch of the science may be regarded as a vast cycle of change,

into which we may break at any point, and round which we may travel,

only to find ourselves brought back to our starting-point. It is a

matter of comparatively small moment at what part of the cycle we begin

our inquiries. We shall always find that the changes we see in action

have resulted from some that preceded, and give place to others which

follow them.

At an early time in the earth's history, anterior to any of the periods

of which a record remains in the visible rocks, the chief sources of

geological action probably lay within the earth itself. If, as is

generally supposed, the planet still retained a great store of its

initial heat, it was doubtless the theatre of great chemical changes,

giving rise, perhaps, to manifestations of volcanic energy somewhat like

those which have so marvellously roughened the surface of the moon. As

the outer layers of the globe cooled, and the disturbances due to

internal heat and chemical action became less marked, the conditions

would arise in which the materials for geological history were

accumulated. The influence of the sun, which must always have operated,

would then stand out more clearly, giving rise to that wide circle of

superficial changes wherein variations of temperature and the

circulation of air and water over the surface of the earth come into

play.

In the pursuit of his inquiries into the past history and into the

present _regime_ of the earth, the geologist must needs keep his mind

ever open to the reception of evidence for kinds and especially for

degrees of action which he had not before imagined. Human experience has

been too short to allow him to assume that all the causes and modes of

geological change have been definitively ascertained. On the earth

itself there may remain for future discovery evidence of former

operations by heat, magnetism, chemical change or otherwise, which may

explain many of the phenomena with which geology has to deal. Of the

influences, so many and profound, which the sun exerts upon our planet,

we can as yet only perceive a little. Nor can we tell what other

cosmical influences may have lent their aid in the evolution of

geological changes.

Much useful information regarding many geological processes has been

obtained from experimental research in laboratories and elsewhere, and

much more may be confidently looked for from future extensions of this

method of inquiry. The early experiments of Sir James Hall, already

noticed, formed the starting-point for numerous subsequent researches,

which have elucidated many points in the origin and history of rocks. It

is true that we cannot hope to imitate those operations of nature which

demand enormous pressures and excessively high temperatures combined

with a long lapse of time. But experience has shown that in regard to a

large number of processes, it is possible to imitate nature's working

with sufficient accuracy to enable us to understand them, and so to

modify and control the results as to obtain a satisfactory solution of

some geological problems.

In the present state of our knowledge, all the geological energy upon

and within the earth must ultimately be traced back to the primeval

energy of the parent nebula or sun. There is, however, a certain

propriety and convenience in distinguishing between that part of it

which is due to the survival of some of the original energy of the

planet and that part which arises from the present supply of energy

received day by day from the sun. In the former case we have to deal

with the interior of the earth, and its reaction upon the surface; in

the latter, we deal with the surface of the earth and to some extent

with its reaction on the interior. This distinction allows of a broad

treatment of the subject under two divisions:

I. Hypogene or Plutonic Action: The changes within the earth caused by

internal heat, mechanical movement and chemical rearrangements.

II. Epigene or Surface Action: The changes produced on the superficial

parts of the earth, chiefly by the circulation of air and water set in

motion by the sun's heat.

_DIVISION I.--HYPOGENE OR PLUTONIC ACTION_

In the discussion of this branch of the subject we must carry in our

minds the conception of a globe still possessing a high internal

temperature, radiating heat into space and consequently contracting in

bulk. Portions of molten rocks from inside are from time to time poured

out at the surface. Sudden shocks are generated by which destructive

earthquakes are propagated through the diameter of the globe as well as

to and along its surface. Wide geographical areas are pushed up or sink

down. In the midst of these movements remarkable changes are produced

upon the rocks of the crust; they are plicated, fractured, crushed,

rendered crystalline and even fused.

(A) _Volcanoes and Volcanic Action._

This subject is discussed in the article VOLCANO, and only a general

view of its main features will be given here. Under the term volcanic

action (vulcanism, vulcanicity) are embraced all the phenomena

connected with the expulsion of heated materials from the interior of

the earth to the surface. A volcano may be defined as a conical hill

or mountain, built up wholly or mainly of materials which have been

ejected from below, and which have accumulated around the central vent

of eruption. As a rule its truncated summit presents a cup-shaped

cavity, termed the crater, at the bottom of which is the opening of

the main funnel or pipe whereby communication is maintained with the

heated interior. From time to time, however, in large volcanoes rents

are formed on the sides of the cone, whence steam and other hot

vapours and also streams of molten lava are poured forth. On such

rents smaller or parasitic cones are often formed, which imitate the

operations of the parent cone and, after repeated eruptions, may rise

to hills hundreds of feet in height. In course of centuries the result

of the constant outpouring of volcanic materials may be to build up a

large mountain like Etna, which towers above the sea to a height of

10,840 feet, and has some 200 minor cones along its flanks.

But all volcanic eruptions do not proceed from central orifices. In

Iceland it has been observed that, from fissures opened in the ground

and extending for long distances, molten material has issued in such

abundance as to be spread over the surrounding country for many miles,

while along the lines of fissure small cones or hillocks of

fragmentary material have accumulated round more active parts of the

rent. There is reason to believe that in the geological past this

fissure-type of eruption has repeatedly been developed, as well as the

more common form of central cones like Vesuvius or Etna.

In the operations of existing volcanoes only the superficial

manifestations of volcanic action are observable. But when the rocks

of the earth's crust are studied, they are found to enclose the relics

of former volcanic eruptions. The roots of ancient volcanoes have thus

been laid bare by geological revolutions; and some of the

subterranean phases of volcanic action are thereby revealed which are

wholly concealed in an active volcano. Hence to obtain as complete a

conception as possible of the nature and history of volcanic action,

regard must be had, not merely to modern volcanoes, but to the records

of ancient eruptions which have been preserved within the crust.

The substances discharged from volcanic vents consist of--(1) Gases

and vapours: which, dissolved in the molten magma of the interior,

take the chief share in volcanic activity. They include in greatest

abundance water-gas, which condenses into the clouds of steam so

conspicuous in volcanic eruptions. Hydrochloric acid and sulphuretted

hydrogen are likewise plentiful, together with many other substances

which, sublimed by the high internal temperature, take a solid form on

cooling at the surface. (2) Molten rock or lava: which ranges from the

extremely acid type of the obsidians and rhyolites with 70% or more of

silica, to the more basic and heavy varieties such as basalts and

leucite-lavas with much iron, and sometimes no more than 45% of

silica. The specific gravity of lavas varies between 2.37 and 3.22,

and the texture ranges from nearly pure glass, like obsidian, to a

coarse granitoid compound, as in some rhyolites. (3) Fragmentary

materials, which are sometimes discharged in enormous quantity and

dispersed over a wide extent of country, the finer particles being

transported by upper air-currents for hundreds of miles. These

materials arise either from the explosion of lava by the sudden

expansion of the dissolved vapours and gases, as the molten rock rises

to the surface, or from the breaking up and expulsion of portions of

the walls of the vent, or of the lava, which happens to have

solidified within these walls. They vary from the finest impalpable

dust and ashes, through increasing stages of coarseness up to huge

"bombs" torn from the upper surface of the molten rock in the vent,

and large blocks of already solidified lava, or of non-volcanic rock

detached from the sides of the pipe up which the eruptions take place.

Nothing is yet known as to the determining cause of any particular

volcanic eruption. Some vents, like that of Stromboli, in the

Mediterranean, are continually active, and have been so ever since man

has observed them. Others again have been only intermittently in

eruption, with intervals of centuries between their periods of

activity. We are equally in the dark as to what has determined the

sites on which volcanic action has manifested itself. There is reason,

indeed, to believe that extensive fractures of the terrestrial crust

have often provided passages up which the vapours, imprisoned in the

internal magma, have been able to make their way, accompanied by other

products. Where chains of volcanoes rise along definite lines, like

those of Sumatra, Java, and many other tracts both in the Old and the

New World, there appears to be little doubt that their linear

distribution should be attributed to this cause. But where a volcano

has appeared by itself, in a region previously exempt from volcanic

action, the existence of a contributing fissure cannot be so

confidently presumed. The study of certain ancient volcanoes, the

roots of which have been exposed by long denudation, has shown an

absence of any visible trace of their having availed themselves of

fractures in the crust. The inference has been drawn that volcanic

energy is capable of itself drilling an orifice through the crust,

probably at some weaker part, and ejecting its products at the

surface. The source of this energy is to be sought in the enormous

expansive force of the vapours and gases dissolved in the magma. They

are kept in solution by the enormous pressure within the earth; but as

the lava approaches the surface and this pressure is relieved these

dissolved vapours and gases rush out with explosive violence, blowing

the upper part of the lava column into dust, and allowing portions of

the liquid mass below to rise and escape, either from the crater or

from some fissure which the vigour of explosion has opened on the side

of the cone. So gigantic is the energy of these pent-up vapours, that,

after a long period of volcanic quiescence, they sometimes burst forth

with such violence as to blow off the whole of the upper part or even

one side of a large cone. The history of Vesuvius, and the great

eruptions of Krakatoa in 1883 and of Bandaizan in 1888 furnish

memorable examples of great volcanic convulsions. It has been observed

that such stupendous discharges of aeriform and fragmentary matter may

be attended with the emission of little or no lava. On the other hand,

some of the largest outflows of lava have been accompanied by

comparatively little fragmentary material. Thus, the great lava-floods

of Iceland in 1783 spread for 40 m. away from their parent fissure,

which was marked only by a line of little cones of slag.

The temperature of lava as it issues from underground has been

measured more or less satisfactorily, and affords an indication of

that existing within the earth. At Vesuvius it has been ascertained to

be more than 2000 deg. Fahr. At first the molten rock glows with a

white light, which rapidly reddens, and disappears under the rugged

brown and black crust that forms on the surface. Underneath this badly

conducting crust, the lava cools so slowly that columns of steam have

been noticed rising from its surface more than 80 years after its

eruption.

Considerable alteration in the topography of volcanic regions may be

produced by successive eruptions. The fragmentary materials are

sometimes discharged in such abundance as to cover the ground for many

miles around with a deposit of loose ashes, cinders and slag. Such a

deposit accumulating to a depth of many feet may completely bury

valleys and water-courses, and thus greatly affect the drainage. The

coarsest materials accumulate nearest to the vent that emits them. The

finer dust is not infrequently hurled forth with such an impetus as to

be carried for thousands of feet into the tracks of upper

air-currents, whereby it may be borne for hundreds of miles away from

the vent so as ultimately to fall to the ground in countries far

removed from any active volcano. Outflows of lava, from their greater

solidity and durability, produce still more serious and lasting

changes in the external features of the ground over which they flow.

As they naturally seek the lowest levels, they find their way into the

channels of streams. If they keep along the channels, they seal them

up under a mass of compact stone which the running water, if not

wholly diverted elsewhere, will take many long centuries to cut

through. If, on the other hand, the lava crosses a stream, it forms a

massive dam, above which the water is ponded back so as to form a

lake.

As the result of prolonged activity a volcanic cone is gradually built

up by successive outflows of lava and showers of dust and stones.

These materials are arranged in beds, or sheets, inclined outwards

from the central vent. On surrounding level ground the alternating

beds are flat. In course of time, deep gullies are cut on the outer

slopes of the cone by rain, and by the heavy showers that arise from

the condensation of the copious discharges of steam during eruptions.

Along the sides of these ravines instructive sections may be studied

of the volcanic strata. The larger rivers of some volcanic regions

have likewise eroded vast gorges in the more horizontal lavas and

ashes of the flatter country, and have thus laid bare stupendous

cliffs, along which the successive volcanic sheets can be seen piled

above each other for many hundred feet. On a small scale, some of

these features are well displayed among the rivers that drain the

volcanic tracts of central France; on a great scale, they are

presented in the course of the Snake river, and other streams that

traverse the great volcanic country of western North America. Similar

volcanic scenery has been produced in western Europe by the action of

denudation in dissecting the flat Tertiary lavas of Scotland, the

Faeroe Isles and Iceland.

Of special interest to the geologist are those volcanoes which have

taken their rise on the sea-bottom; for the volcanic intercalations

among the stratified formations of the earth's crust are almost

entirely of submarine origin. Many active volcanoes situated on

islands have begun their eruptions below sea-level. Both Vesuvius and

Etna sprang up on the floor of the Mediterranean sea, and have

gradually built up their cones into conspicuous parts of the dry land.

Examples of a similar history are to be found among the volcanic

islands of the Pacific Ocean. In some of these cases a movement of

elevation has carried the submarine lavas, tuffs and agglomerates

above sea-level, and has furnished opportunities of comparing these

materials with those of recent subaerial origin, and also with the

ancient records of submarine eruptions which have been preserved among

the stratified formations. From the evidence thus supplied, it can be

shown that the materials ejected from modern submarine volcanic vents

closely resemble those accumulated by subaerial volcanoes; that the

dust, ashes and stones become intermingled or interstratified with

coral-mud, or other non-volcanic deposit of the sea-bottom, that

vesicular lavas may be intercalated among them as on land, and that

between the successive sheets of volcanic origin, layers of limestone

may be laid down which are composed chiefly, or wholly, of the remains

of calcareous marine organisms.

Though active volcanoes are widely distributed over the globe, and are

especially abundant around the vast basin of the Pacific Ocean, they

afford an incomplete picture of the extent to which volcanic action

has displayed itself on the surface of our planet. When the rocks of

the land are attentively studied they disclose proofs of that action

in many districts where there is now no outward sign of it. Not only

so, but they reveal that volcanoes have been in eruption in some of

these districts during many different periods of the past, back to the

beginnings of geological history. The British Islands furnish a

remarkable example of such a series of ancient eruptions. From the

Cambrian period all through Palaeozoic times there rose at intervals

in that country a succession of volcanic centres from some of which

thousands of feet of lavas and tuffs were discharged. Again in older

Tertiary times the same region witnessed a stupendous outpouring of

basalt, the surviving relics of which are more than 3000 ft. thick,

and cover many hundreds of square miles. Similar evidence is supplied

in other countries both in the Old and the New world. Hence it is

proved that, in the geological past, volcanic action has been vigorous

at long intervals on the same sites during a vast series of ages,

though no active vents are to be seen there now. The volcanoes now

active form but a small proportion of the total number which has

appeared on the surface of the earth.

With regard to the cause of volcanic action much has been speculated,

but little can be confidently affirmed. That water in the form of

occluded gas plays the chief part in forcing the lava column up a

volcanic chimney, and in the violent explosions that accompany the

rise of the molten material, is generally admitted. But opinions

differ as to the source of this water. According to some

investigators, it should be regarded as in large measure of meteoric

origin, derived from the descent of rain into the earth, and its

absorption by the molten magma in the interior. Others, contending

that the supply so furnished, even if it could reach and be dissolved

in the magma, would yet be insufficient to furnish the prodigious

quantity of aqueous vapour discharged during an eruption, maintain

that the water belongs to the magma itself. They point to the admitted

fact that many substances, particularly metals in a state of fusion,

can absorb large quantities of vapours and gases without chemical

combination, and on cooling discharge them with eruptive phenomena

somewhat like those of volcanoes. This question must be regarded as

one of the still unsolved problems of geology.

(B) _Movements of the Earth's Crust._

Among the hypogene forces in geological dynamics an important place

must be assigned to movements of the terrestrial crust. Though the

expression "the solid earth" has become proverbial, it appears

singularly inappropriate in the light of the results obtained in

recent years by the use of delicate instruments of observation. With

the facilities supplied by these instruments (see SEISMOMETER), it has

been ascertained that the ground beneath our feet is subject to

continual slight tremors, and feeble pulsations of longer duration,

some of which may be due to daily or seasonal variations of

temperature, atmospheric pressure or other meteorological causes. The

establishment of self-recording seismometers all over the world has

led to the detection of many otherwise imperceptible shocks, over and

above the appreciable earth-waves propagated from earthquake centres

of disturbance. Moreover, it has been ascertained that some parts of

the surface of the land are slowly rising, while others are falling

with reference to the sea-level. From time to time the surface suffers

calamitous devastation from earthquakes, when portions of the crust

under great strain suddenly give way. Lastly, at intervals, probably

separated from each other by vast periods of time, the terrestrial

crust undergoes intense plication and fracture, and is consequently

ridged up into mountain-chains. No event of this kind has been

witnessed since man began to record his experiences. But from the

structure of mountains, as laid open by prolonged denudation, it is

possible to form a vivid conception of the nature and effects of these

most stupendous of all geological revolutions.

In considering this department of geological inquiry it will be

convenient to treat it under the following heads: (1) Slow depression

and upheaval; (2) Earthquakes; (3) Mountain-making; (4) Metamorphism

of rocks.

1. _Slow Depression and Upheaval._--On the west side of Japan the land

is believed to be sinking below the sea, for fields are replaced by

beaches of sand or shingle, while the depth of the sea off shore has

perceptibly increased. A subsidence of the south of Sweden has taken

place in comparatively recent times, for streets and foundations of

houses at successive levels are found below high-water mark. The west

coast of Greenland over an extent of more than 600 m. is sinking, and

old settlements are now submerged. Proofs of submergence of land are

furnished by "submerged forests," and beds of terrestrial peat now

lying at various depths below the level of the sea, of which many

examples have been collected along the shores of the British Isles,

Holland and France. Interesting evidence that the west of Europe now

stands at a lower level than it did at a late geological period is

supplied in the charts of the North Sea and Atlantic, which show that

the valleys of the land are prolonged under the sea. These valleys

have been eroded out of the rocks by the streams which flow in them,

and the depth of their submerged portions below the sea level affords

an indication of the extent of the subsidence.

The uprise of land has been detected in various parts of the world.

One of the most celebrated instances is that of the shores of the Gulf

of Bothnia, where, at Stockholm, the elevation, between the years 1774

and 1875, appears to have been 48 centimetres (18-1/2 in.) in a

century. But on the west side of Sweden, fronting the Skager Rak, the

coast, between the years 1820 and 1870, rose 30 centimetres, which is

at the rate of 60 centimetres, or nearly 2 ft. in a century. In the

region of the Great Lakes in the interior of Canada and the United

States it has been ascertained that the land is undergoing a slow tilt

towards the south-west, of which the mean rate appears to be rather

less than 6 in. in a century. If this rate of change should continue

the waters of Lake Michigan, owing to the progress of the tilt, will,

in some 500 or 600 years, submerge the city of Chicago, and eventually

the drainage of the lakes will be diverted into the basin of the

Mississippi. Proof of recent emergence of land is supplied by what are

called "raised beaches" or "strand-lines," that is, lines of former

shores marked by sheets of littoral deposits, or platforms cut by

shore-waves in rock and flanked by old sea-cliffs and lines of

sea-worn caves. Admirable examples of these features are to be seen

along the west coast of Europe from the south of England to the north

of Norway. These lines of old shores become fainter in proportion to

their antiquity. In Britain they occur at various heights, the

platforms at 25, 50 and 100 ft. being well marked.

The cause of these slow upward and downward movements of the crust of

the earth is still imperfectly understood. Upheaval might conceivably

be produced by an ascent of the internal magma, and the consequent

expansion of the overlying crust by heat; while depression might

follow any subsidence of the magma, or its displacement to another

district. If, as is generally believed, the globe is still

contracting, the shrinkage of the surface may cause both these

movements. Subsidence will be in excess, but between subsiding tracts

lateral thrust may suffice to push upward intervening more solid and

stable ground; but no solution of the problem yet proposed is wholly

satisfactory.

2. _Earthquakes._--As this subject is discussed in a separate article

it will be sufficient here to take note of its more important

geological bearings. It was for many centuries taken for granted that

earthquakes and volcanoes are due to a common cause. We have seen that

in classical antiquity they were looked on as the results of the

movements of wind imprisoned within the earth. Long after this notion

was discarded, and a more scientific appreciation of volcanic action

was reached, it was still thought that earthquakes should be regarded

as manifestations of the same source of energy as that which displays

itself in volcanic eruptions. It is true that earthquakes are frequent

in districts of active volcanoes, and they may undoubtedly be often

due there to the explosions of the magma, or to the rupture of rocks

caused by its ascent towards the surface. But such shocks are

comparatively local in their range and feeble in their effects. There

is now a general agreement that between the great world-shaking

earthquakes and volcanic phenomena, no immediate and intimate

relationship can be traced, though they may be connected in ways which

are not yet perceived. Some of the more recent great earthquakes on

land have proved that the waves of shock are produced by the sudden

rupture or collapse of rocks under great strain, either along lines of

previous fracture or of new rents in the terrestrial crust; and that

such ruptures may occur at a remote distance from any volcano. Thus

the recent disastrous San Francisco earthquake has been recognized to

have resulted from a slipping of ground along the line of an old

fault, which has been traced for a long distance in California

generally parallel to the coast. The position of this fault at the

surface has long been clearly followed by its characteristic

topography. After the earthquake these superficial features were found

to have been removed by the same cause that had originated them. For

some 300 m. on the track of this old fault-line a renewed slipping was

seen to have taken place along one or both sides, and the ground at

the surface was ruptured as well as displaced horizontally. Obviously,

the jar occasioned by the sudden and simultaneous subsidence of a

portion of the earth's crust several hundred miles long, must be far

more serious than could be produced by an earthquake radiating from a

single local volcanic focus.

From their disastrous effects on buildings and human lives, an

exaggerated importance has been imputed to earthquakes as agents of

geological change. Experience shows that even after a severe shock

which may have destroyed numerous towns and villages, together with

thousands of their inhabitants, the face of the country has suffered

scarcely any perceptible change, and that, in the course of a year or

two, when the ruined houses and prostrate trees have been cleared

away, little or no obvious trace of the catastrophe may remain. Among

the more enduring records of a great earthquake may be enumerated (a)

landslips, which lay bare hillsides, and sometimes pond back the

drainage of valleys so as to give rise to lakes; (b) alterations of

the topography, as in fissuring of the ground, or in the production of

inequalities whereby the drainage is affected; new valleys and new

lakes may thus be formed, while previously existing lakes may be

emptied; (c) permanent changes of level, either in an upward or

downward direction.

3. _Mountain-making._--This subject may be referred to here for the

striking evidence which it supplies of the importance of movements of

the earth's crust among geological processes. The structure of a great

mountain-chain such as the Alps proves that the crust of the earth has

been intensely plicated, crumpled and fractured. Vast piles of

sedimentary strata have been folded to such an extent as to occupy now

only half of their original horizontal extent. This compression in the

case of the Alps has been computed to amount to as much as 120,000

metres or 74 English miles, so that two points on the opposite sides

of that chain have been brought by so much nearer to each other than

they were originally before the movements. Besides such intense

plication, extensive rupturing of the crust has taken place in the

same range of mountains. Not only have the most ancient rocks been

squeezed up into the central axis of the chain, but huge slices of

them have been torn away from the main body, and thrust forward for

many miles, so as now actually to form the summits of mountains, which

are almost entirely composed of much younger formations. If these

colossal disturbances occurred rapidly, they would give rise to

cataclysms of inconceivable magnitude over the surface of the globe.

No record has been discovered of such accompanying devastation. But

whether sudden and violent, or prolonged and gradual, such stupendous

upturnings of the crust did undoubtedly take place, as is clearly

revealed in innumerable natural sections, which have been laid open by

the denudation of the crests and sides of the mountains.

4. _Metamorphism of Rocks_ (see METAMORPHISM).--During the movements

to which the crust of the earth has been subject, not only have the

rocks been folded and fractured, but they have likewise, in many

regions, acquired new internal structures, and have thus undergone a

process of "regional metamorphism." This rearrangement of their

substance has been governed by conditions which are probably not yet

all recognized, but among them we should doubtless include a high

temperature, intense pressure, mechanical movement resulting in

crushing, shearing and foliation, and the presence of water in their

pores. It is among igneous rocks that the progressive stages of

metamorphism can be most easily traced. Their definite original

structure and mineral composition afford a starting-point from which

the investigation may be begun and pursued. Where an igneous rock has

been invaded by metamorphic changes, it may be observed to have been

first broken down into separate lenticles, the cores of which may

still retain, with little or no alteration, the original

characteristic minerals and crystalline structure of the rock. Between

these lenticles, the intervening portions have been crushed down into

a powder or paste, which seems to have been squeezed round and past

them, and shows a laminated arrangement that resembles the

flow-structure in lavas. As the degree of metamorphism increases, the

lenticles diminish in size, and the intervening crushed and foliated

matrix increases in amount, until at last it may form the entire mass

of the rock. While the original minerals are thus broken down, new

varieties make their appearance. Of these, among the earliest to

present themselves are usually the micas, that impart their

characteristic silvery sheen to the surfaces of the folia along which

they spread. Younger felspars, as well as mica, are developed, and

there arise also sillimanite, garnet, andalusite and many others. The

texture becomes more coarsely crystalline, and the segregation of the

constituent minerals more definite along the lines of foliation. From

the finest silky phyllites a graduation may be traced through

successively coarser mica-schists, until we reach the almost granitic

texture of the coarsest gneisses.

Regional metamorphism has arisen in the heart of mountain-chains, and

in any other district where the deformation of the crust has been

sufficiently intense. There is another type of alteration termed

"contact-metamorphism," which is developed around masses of igneous

rock, especially where these have been intruded in large bosses among

stratified formations. It is particularly displayed around masses of

granite, where sandstones are found altered into quartzite, shales and

grits into schistose compounds, and where sometimes fossils are still

recognizable among the metamorphic minerals.

_DIVISION II.--EPIGENE OR SUPERFICIAL ACTION_

It is on the surface of the globe, and by the operation of agents

working there, that at present the chief amount of visible geological

change is effected. In considering this branch of inquiry, we are not

involved in a preliminary difficulty regarding the very nature of the

agencies as is the case in the investigation of plutonic action. On the

contrary, the surface agents are carrying on their work under our very

eyes. We can watch it in all its stages, measure its progress, and mark

in many ways how accurately it represents similar changes which, for

long ages previously, must have been effected by the same means. But in

the systematic treatment of this subject we encounter a difficulty of

another kind. We discover that while the operations to be discussed are

numerous and readily observable, they are so interwoven into one great

network that any separation of them under different subdivisions is sure

to be more or less artificial and to convey an erroneous impression.

While, therefore, under the unavoidable necessity of making use of such

a classification of subjects, we must always bear in mind that it is

employed merely for convenience, and that in nature superficial

geological action must be continually viewed as a whole, since the work

of each agent has constant reference to that of the others, and is not

properly intelligible unless that connexion be kept in view.

The movements of the air; the evaporation from land and sea; the fall of

rain, hail and snow; the flow of rivers and glaciers; the tides,

currents and waves of the ocean; the growth and decay of organized

existence, alike on land and in the depths of the sea;--in short, the

whole circle of movement, which is continually in progress upon the

surface of our planet, are the subjects now to be examined. It is

desirable to adopt some general term to embrace the whole of this range

of inquiry. For this end the word epigene (Gr. [Greek: epi], upon) has

been suggested as a convenient term, and antithetical to hypogene (Gr.

[Greek: hypo], under), or subterranean action.

A simple arrangement of this part of Geological Dynamics is in three

sections:

A. _Air._--The influence of the atmosphere in destroying and forming

rocks.

B. _Water._--The geological functions of the circulation of water

through the air and between sea and land, and the action of the sea.

C. _Life._--The part taken by plants and animals in preserving,

destroying or reproducing geological formations.

The words destructive, reproductive and conservative, employed in

describing the operations of the epigene agents, do not necessarily

imply that anything useful to man is destroyed, reproduced or preserved.

On the contrary, the destructive action of the atmosphere may turn

barren rock into rich soil, while its reproductive effects sometimes

turn rich land into barren desert. Again, the conservative influence of

vegetation has sometimes for centuries retained as barren morass what

might otherwise have become rich meadow or luxuriant woodland. The

terms, therefore, are used in a strictly geological sense, to denote the

removal and re-deposition of material, and its agency in preserving what

lies beneath it.

(A) _The Air._

As a geological agent, the air brings about changes partly by its

component gases and partly by its movements. Its destructive action is

both chemical and mechanical. The chemical changes are probably

mainly, if not entirely, due to the moisture of the air, and

particularly to the gases, vapours and organic matter which the

moisture contains. Dry air seems to have little or no appreciable

influence in promoting these reactions. As the changes in question are

similar to those much more abundantly brought about by rain they are

described in the following section under the division on rain.

Among the more recognizable mechanical changes effected in the

atmosphere, one of considerable importance is to be seen in the result

of great and rapid changes of temperature. Heat expands rocks, while

cold contracts them. In countries with a great annual range of

temperature, considerable difficulty is sometimes experienced in

selecting building materials liable to be little affected by the

alternate expansion and contraction, which prevents the joints of

masonry from remaining close and tight. In dry tropical climates,

where the days are intensely hot and the nights extremely cold, the

rapid nocturnal contraction produces a strain so great as to rival

frost in its influence upon the surface of exposed rocks,

disintegrating them into sand, or causing them to crack or peel off in

skins or irregular pieces. Dr Livingstone found in Africa (12 deg. S.

lat., 34 deg. E. long.) that surfaces of rock which during the day

were heated up to 137 deg. Fahr., cooled so rapidly by radiation at

night that, unable to sustain the strain of contraction, they split

and threw off sharp angular fragments from a few ounces to 100 or 200

[lb] in weight. In temperate regions this action, though much less

pronounced, still makes itself felt. In these climates, however, and

still more in high latitudes, somewhat similar results are brought

about by frost.

By its motion in wind the air drives loose sand over rocks, and in

course of time abrades and smoothes them. "Desert polish" is the name

given to the characteristic lustrous surface thus imparted. Holes are

said to be drilled in window glass at Cape Cod by the same agency.

Cavities are now and then hollowed out of rocks by the gyration in

them of little fragments of stone or grains of sand kept in motion by

the wind. Hurricanes form important geological agents upon land in

uprooting trees, and thus sometimes impeding the drainage of a country

and giving rise to the formation of peat mosses.

The reproductive action of the air arises partly from the effect of

the chemical and mechanical disintegration involved in the process of

"weathering," and partly from the transporting power of wind and of

aerial currents. The layer of soil, which covers so much of the

surface of the land, is the result of the decay of the underlying

rocks, mingled with mineral matter blown over the ground by wind, or

washed thither by rain, and with the mouldering remains of plants and

animals. The extent to which fine dust may be transported over the

surface of the land can hardly be realized in countries clothed with a

covering of vegetation, though even there, in dry weather during

spring, clouds of dust may often be seen blown away by wind from bare

ploughed fields. Intercepted by the leaves of plants and washed down

to their roots by rain, this dust goes to increase the soil below. In

arid climates, where dust clouds are dense and frequent, enormous

quantities of fine mineral particles are thus borne along and

accumulated. The remarkable deposit of "Loess," which is sometimes

more than 1500 ft. thick and covers extensive areas in China and other

countries, is regarded as due to the drifting of dust by wind. Again

the dunes of sand so abundant along the inner side of sandy

sea-beaches in many different parts of the world are attributable to

the same action.

(B) _Water._

In treating of the epigene action of water in geological processes it

will be convenient to deal first with its operations in traversing the

land, and then with those which it performs in the sea. The

circulation of water from land to sea and again from sea to land

constitutes the fundamental cause of most of the daily changes by

which the surface of the land is affected.

1. _Rain._--Rain effects two kinds of changes upon the surface of the

land. It acts _chemically_ upon soils and stones, and sinking under

ground continues a great series of similar reactions there. It acts

_mechanically_, by washing away loose materials, and thus powerfully

affecting the contours of the land. Its chemical action depends mainly

upon the nature and proportion of the substances which, in descending

to the earth, it abstracts from the atmosphere. Rain always absorbs a

little air, which, in addition to its nitrogen and oxygen, contains

carbonic acid, and in minute proportions, sodium chloride, sulphuric

acid and other ingredients, especially inorganic dust, organic

particles and living germs. Probably the most generally efficient of

these constituents are oxygen, carbonic acid and organic matter. Armed

with these reagents, rain effects a chemical decomposition of the

rocks on which it falls, and through which it sinks underground. The

principal changes thus produced are as follows: (a) Oxidation.--Owing

to the prominence of oxygen in rain-water, and its readiness to unite

with any substance which can contain more of it, a thin oxidized

pellicle is formed on the surface of many rocks on which rain falls,

and this oxidized layer if not at once washed off, sinks deeper until

a crust is formed over the stone. A familiar illustration of this

action is afforded by the rust, or oxide, which forms on iron when

exposed to moisture, though this iron may be kept long bright if

allowed to remain screened from moist air and rain. (b)

Deoxidation.--Organic matter having an affinity for more oxygen

decomposes peroxides by depriving them of some part of their share of

that element and reducing them to protoxides. These changes are

especially noticeable among the iron oxides so abundantly diffused

among rocks. Hence rain-water, in sinking through soil and obtaining

such organic matter, becomes thereby a reducing agent. (c)

Solution.--This may take place either by the simple action of the

water, as in the solution of rock-salt, or by the influence of the

carbonic acid present in the rain. (d) Formation of Carbonates.--A

familiar example of the action of carbonic acid in rain is to be seen

in the corrosion of exposed marble slabs. The carbonic acid dissolves

some of the lime, which, as a bicarbonate, is held in solution in the

carbonated water, but is deposited again when the water loses its

carbonic acid or evaporates. It is not merely carbonates, however,

which are liable to this kind of destruction. Even silicates of lime,

potash and soda, combinations existing abundantly as constituents of

rocks, are attacked; their silica is liberated, and their alkalis or

alkaline earths, becoming carbonates, are removed in solution. (e)

Hydration.--Some minerals, containing little or no water, and

therefore called anhydrous, when exposed to the action of the

atmosphere, absorb water, or become hydrous, and are then usually more

prone to further change. Hence the rocks of which they form part

become disintegrated.

Besides the reactions here enumerated, a considerable amount of decay

may be observed as the result of the presence of sulphuric and nitric

acid in the air, especially in that of large towns and manufacturing

districts, where much coal is consumed. Metallic surfaces, as well as

various kinds of stone, are there corroded, while the mortar of walls

may often be observed to be slowly swelling out and dropping off,

owing to the conversion of the lime into sulphate. Great injury is

likewise done from a similar cause to marble monuments in exposed

graveyards.

The general result of the disintegrating action of the air and of

rain, including also that of plants and animals, to be noticed in the

sequel, is denoted by the term "weathering." The amount of decay

depends partly on conditions of climate, especially the range of

temperature, the abundance of moisture, height above the sea and

exposure to prevalent winds. Many rocks liable to be saturated with

rain and rapidly dried under a warm sun are apt to disintegrate at the

surface with comparative rapidity. The nature and progress of the

weathering are mainly governed by the composition and texture of the

rocks exposed to it. Rocks composed of particles liable to little

chemical change from the influence of moisture are best fitted to

resist weathering, provided they possess sufficient cohesion to

withstand the mechanical processes of disintegration. Siliceous

sandstones are excellent examples of this permanence. Consisting

wholly or mainly of the durable mineral quartz, they are sometimes

able so to withstand decay that buildings made of them still retain,

after the lapse of centuries, the chisel-marks of the builders. Some

rocks, which yield with comparative rapidity to the chemical attacks

of moisture, may show little or no mark of disintegration on their

surface. This is particularly the case with certain calcareous rocks.

Limestone when pure is wholly soluble in acidulated water. Rain

falling on such a rock removes some of it in solution, and will

continue to do so until the whole is dissolved away. But where a

limestone is full of impurities, a weathered crust of more or less

insoluble particles remains after the solution of the calcareous part

of the stone. Hence the relative purity of limestones may be roughly

determined by examining their weathered surfaces, where, if they

contain much sand, the grains will be seen projecting from the

calcareous matrix, and where, should the rock be very ferruginous, the

yellow hydrous peroxide, or ochre, will be found as a powdery crust.

In limestones containing abundant encrinites, shells, or other organic

remains, the weathered surface commonly presents the fossils standing

out in relief. The crystalline arrangement of the lime in the organic

structures enables them to resist disintegration better than the

general mechanically aggregated matrix of the rock. An experienced

fossil collector will always search well such weathered surfaces, for

he often finds there, delicately picked out by the weather, minute

and frail fossils which are wholly invisible on a freshly broken

surface of the stone. Many rocks weather with a thick crust, or even

decay inwards for many feet or yards. Basalt, for example, often shows

a yellowish-brown ferruginous layer on its surface, formed by the

conversion of its felspar into kaolin, and the removal of its calcium

silicate as carbonate, by the hydration of its olivine and augite and

their conversion into serpentine, or some other hydrous magnesian

silicate, and by the conversion of its magnetite into limonite.

Granite sometimes shows in a most remarkable way the distance to which

weathering can reach. It may occasionally be dug into for a depth of

20 or 30 ft., the quartz crystals and veins retaining their original

positions, while the felspar is completely kaolinized. It is to the

endlessly varied effects of weathering that the abundant fantastic

shapes assumed by crags and other rocky masses are due. Most varieties

of rock have their own characteristic modes of weathering, whereby

they may be recognized even from a distance. To some of these features

reference will be made in Part VIII.

The mechanical action of rain, which is intimately bound up with its

chemical action, consists in washing off the fine superficial

particles of rocks which have been corroded and loosened by the

process of weathering, and in thus laying open fresh portions to the

same influences of decay. The detritus so removed is partly carried

down into the soil which is thereby enriched, partly held in

suspension in the little runnels into which the rain-drops gather as

they begin to flow over the land, partly pushed downwards along the

surface of sloping ground. A good deal of it finds its way into the

nearest brooks and rivers, which are consequently made muddy by heavy

rain.

It is natural that a casual consideration of the subject should lead

to an impression that, though the general result of the fall of rain

upon a land-surface must lead to some amount of disintegration and

lowering of that surface, the process must be so slow and slight as

hardly to be considered of much importance among geological

operations. But further attention will show such an impression to be

singularly erroneous. It loses sight of the fact that a change which

may be hardly appreciable within a human lifetime, or even within the

comparatively brief span of geological time embraced in the compass of

human history, may nevertheless become gigantic in its results in the

course of immensely protracted periods. An instructive lesson in the

erosive action of rain may be found in the pitted and channelled

surface of ground lying under the drip of the eaves of a cottage. The

fragments of stone and pebbles of gravel that form part of the soil

can there be seen sticking out of the ground, because being hard they

resist the impetus of the falling drops, protecting for a time the

earth beneath them, while that which surrounded and covered them is

washed away. From this familiar illustration the observer may advance

through every stage in the disappearance of material which once

covered the surface, until he comes to examples where once continuous

and thick sheets of solid rock have been reduced to a few fragments or

have been entirely removed. Since the whole land surface over which

rain falls is exposed to this waste, the superficial covering of

decayed rock or soil, as Hutton insisted, is constantly, though

imperceptibly, travelling outward and downward to the sea. In this

process of transport rain is an important carrying agent, while at the

same time it serves to connect the work of the other disintegrating

forces, and to make it conducive to the general degradation of the

land. Though this decay is general and constant, it is obviously not

uniform. In some places where, from the nature of the rock, from the

flatness of the ground, or from other causes, rain works under great

difficulties, the rate of waste may be extremely slow. In other places

it may be rapid enough to be appreciable from year to year. A survey

of this department of geological activity shows how unequal wasting by

rain, combined with the operations of brooks and rivers, has produced

the details of the present relief of the land, those tracts where the

destruction has been greatest forming hollows and valleys, others,

where it has been less, rising into ridges and hills (Part VIII.).

Rain-action is not merely destructive, but is accompanied with

reproductive effects, chief of which is the formation of soil. In

favourable situations it has gathered together accumulations of loam

and earth from neighbouring higher ground, such as the "brick-earth,"

"head," and "rain-wash" of the south of England--earthy deposits,

sometimes full of angular stones, derived from the subaerial waste of

the rocks of the neighbourhood.

2. _Underground Water._--Of the rain which falls upon the land one

portion flows off into brooks and rivers by which the water is

conducted back to the ocean; the larger part, however, sinks into the

ground and disappears. It is this latter part which has now to be

considered. Over and above the proportion of the rainfall which is

absorbed by living vegetation and by the soil, there is a continual

filtering down of the water from the surface into the rocks that lie

below, where it partly lodges in pores and interstices, and partly

finds its way into subterranean joints and fissures, in which it

performs an underground circulation, and ultimately issues once more

at the surface in the form of springs (q.v.). In the course of this

circulation the water performs an important geological task. Not only

carrying down with it the substances which the rain has abstracted

from the air, but obtaining more acids and organic matter from the

soil, it is enabled to effect chemical changes in the rocks

underneath, and especially to dissolve limestone and other calcareous

formations. So considerable is the extent of this solution in some

places that the springs which come to the surface, and begin there to

evaporate and lose some of their carbonic acid, contain more dissolved

lime than they can hold. They consequently deposit it in the form of

calcareous tuff or sinter (q.v.). Other subterranean waters issue with

a large proportion of iron-salts in solution which form deposits of

ochre. The various mineral springs so largely made use of for the

mitigation or cure of diseases owe their properties to the various

salts which they have dissolved out of rocks underground. As the

result of prolonged subterranean solution in limestone districts,

passages and caves (q.v.), sometimes of great width and length, are

formed. When these lie near the surface their roofs sometimes fall in

and engulf brooks and rivers, which then flow for some way underground

until the tunnels conduct them back again to daylight on some lower

ground.

Besides its chemical activity water exerts among subterranean rocks a

mechanical influence which leads to important changes in the

topography of the surface. In removing the mineral matter, either in

solution or as fine sediment, it sometimes loosens the support of

overlying masses of rock which may ultimately give way on sloping

ground, and rush down the declivities in the form of landslips. These

destructive effects are specially frequent on the sides of valleys in

mountainous countries and on lines of sea-cliff.

3. _Brooks and Rivers._--As geological agents the running waters on

the face of the land play an important part in epigene changes. Like

rain and springs they have both a chemical and a mechanical action.

The latter receives most attention, as it undoubtedly is the more

important; but the former ought not to be omitted in any survey of the

general waste of the earth's surface. The water of rivers must possess

the powers of a chemical solvent like rain and springs, though its

actual work in this respect can be less easily measured, seeing that

river water is directly derived from rain and springs, and necessarily

contains in solution mineral substances supplied to it by them and not

by its own operation. Nevertheless, it is sometimes easy to prove that

streams dissolve chemically the rocks of their channels. Thus, in

limestone districts the base of the cliffs of river ravines may be

found eaten away into tunnels, arches, and overhanging projections,

presenting in their smooth surfaces a great contrast to the angular

jointed faces of the same rock, where now exposed to the influence

only of the weather on the higher parts of the cliff.

The mechanical action of rivers consists (a) in transporting mud,

sand, gravel and blocks of stone from higher to lower levels; (b) in

using these loose materials to widen and deepen their channels by

erosion; (c) in depositing their load of detritus wherever possible

and thus to make new geological formations.

(a) _Transporting Power._--River-water is distinguished from that of

springs by being less transparent, because it contains more or less

mineral matter in suspension, derived mainly from what is washed down

by rain, or carried in by brooks, but partly also from the abrasion of

the water-channels by the erosive action of the rivers themselves. The

progress of this burden of detritus may be instructively followed from

the mountain-tributaries of a river down to the mouth of the main

stream. In the high grounds the water-courses may be observed to be

choked with large fragments of rock disengaged from the cliffs and

crags on either side. Traced downwards the blocks are seen to become

gradually smaller and more rounded. They are ground against each

other, and upon the rocky sides and bottom of the channel, getting

more and more reduced as they descend, and at the same time abrading

the rocks over or against which they are driven. Hence a great deal of

debris is produced, and is swept along by the onward and downward

movement of the water. The finer portions, such as mud and fine sand,

are carried in suspension, and impart the characteristic turbidity to

river-water; the coarser sand and gravel are driven along the

river-bottom. The proportion of suspended mineral matter has been

ascertained with more or less precision for a number of rivers. As an

illustrative example of a river draining a vast area with different

climates, forms of surface and geological structure the Mississippi

may be cited. The average proportion of sediment in its water was

ascertained by Humphreys and Abbot to be 1/1500 by weight or 1/2900 by

volume. These engineers found that, in addition to this suspended

material, coarse detritus is constantly being pushed forward along the

bed of the river into the Gulf of Mexico, to an amount which they

estimated at about 750,000,000 cubic ft. of sand, earth and gravel;

they concluded that the Mississippi carries into the gulf every year

an amount of mechanically transported sediment sufficient to make a

prism one square mile in area and 268 ft. in height.

(b) _Excavating Power._--It is by means of the sand, gravel and stones

which they drive against the sides and bottoms of their channels that

streams have hollowed out the beds in which they flow. Not only is the

coarse detritus reduced in size by the friction of the stones against

each other, but, at the same time, these materials abrade the rocks

against which they are driven by the current. Where, owing to the

shape of the bottom of the channel, the stones are caught in eddies,

and are kept whirling round there, they become more and more worn down

themselves, and at the same time scour out basin-shaped cavities, or

"pot-holes," in the solid rock below. The uneven bed of a swiftly

flowing stream may in this way be honeycombed with such eroded basins

which coalesce and thus appreciably lower the surface of the bed. The

steeper the channel, other conditions being equal, the more rapid will

be the erosion. Geological structure also affects the character and

rate of the excavation. Where the rocks are so arranged as to favour

the formation and persistence of a waterfall, a long chasm may be

hollowed out like that of the Niagara below the falls, where a hard

thick bed of nearly flat limestone lies on softer and more easily

eroded shales. The latter are scooped out from underneath the

limestone, which from time to time breaks off in large masses and the

waterfall gradually retreats up stream, while the ravine is

proportionately lengthened. To the excavating power of rivers the

origin of the valley systems of the dry land must be mainly assigned

(see Part VIII.).

(c) _Reproductive Power._--So long as a stream flows over a steep

declivity its velocity suffices to keep the sediment in suspension,

but when from any cause, such as a diminution of slope, the velocity

is checked, the transporting power is lessened and the sediment begins

to fall to the bottom and to remain there. Hence various river-formed

or "alluvial" deposits are laid down. These sometimes cover

considerable spaces at the foot of mountains. The floors of valleys

are strewn with detritus, and their level may thereby be sensibly

raised. In floods the ground inundated on either side of a stream

intercepts some part of the detritus, which is then spread over the

flood-plain and gradually heightens it. At the same time the stream

continues to erode the channel, and ultimately is unable to reach the

old flood-plain. It consequently forms a new plain at a lower level,

and thus, by degrees, it comes to be flanked on either side by a

series of successive terraces or platforms, each of which marks one of

its former levels. Where a river enters a large body of water its

current is checked. Some of its sediment is consequently dropped, and

by slow accumulation forms a delta (q.v.). On land, every lake in

mountain districts furnishes instances of this kind of alluvium. But

the most important deltas are those formed in the sea at the mouths of

the larger rivers of the globe. Off many coast-lines the detritus

washed from the land gathers into bars, which enclose long strips of

water more or less completely separated from the sea outside and known

as lagoons. A chain of such lagoon-barriers stretches for hundreds of

miles round the Gulf of Mexico and the eastern shores of the United

States.

4. _Lakes._--These sheets of water, considered as a whole, do not

belong to the normal system of drainage on the land whereby valleys

are excavated. On the contrary they are exceptional to it; for the

constant tendency of running water is to fill them up, or to drain

them by wearing down the barriers that contain them at their outflow.

Some of them are referable to movements of the terrestrial crust

whereby depressions arise on the surface of the land, as has been

noted after earthquakes. Others have arisen from solution such as that

of rock-salt or of limestone, the removal of which by underground

water causes a subsidence of the ground above. A third type of

lake-basin occurs in regions that are now or have once been subject to

the erosive action of glaciers (see under next subdivision,

_Terrestrial Ice_). Many small lakes or tarns have been caused by the

deposit of debris across a valley as by landslips or moraines.

Considered from a geological point of view, lakes perform an important

function in regulating the drainage of the ground below their outfall

and diminishing the destructive effects of floods, in filtering the

water received from their affluent streams, and in providing

undisturbed areas of deposit in which thick and extensive lacustrine

formations may be accumulated. In the inland basins of some dry

climates the lakes are salt, owing to excess of evaporation, and their

bottoms become the sites of chemical deposits, particularly of

chlorides of sodium and magnesium, and calcium sulphate and carbonate.

5. _Terrestrial Ice._--Each of the forms assumed by frozen water has

its own characteristic action in geological processes. Frost has a

powerful influence in breaking up damp soils and surfaces of stone in

the pores or cracks of which moisture has lodged. The water in

freezing expands, and in so doing pushes asunder the component

particles of soil or stone, or widens the space between the walls of

joints or crevices. When the ice melts the loosened grains remain

apart ready to be washed away by rain or blown off by wind, while by

the widening of joints large blocks of rock are detached from the

faces of cliffs. Where rivers or lakes are frozen over the ice exerts

a marked pressure on their banks; and when it breaks up large sheets

of it are driven ashore, pushing up quantities of gravel and stones

above the level of the water. The piling up of the disrupted ice

against obstructions in rivers ponds back the water, and often leads

to destructive floods when the ice barriers break. Where the ice has

formed round boulders in shallow water, or at the bottom

("anchor-ice"), it may lift these up when the frost gives way, and may

transport them for some distance. Ice formed in the atmosphere, and

descending to the ground in the form of hail, often causes great

destruction to vegetation and not infrequently to animal life. Where

the frozen moisture reaches the earth as snow, it serves to protect

rock, soil and vegetation from the effects of frost; but on sloping

ground it is apt to give rise to destructive avalanches or landslips,

while indirectly, by its rapid melting, it may cause serious floods in

rivers.

But the most striking geological work performed by terrestrial ice is

that achieved by glaciers (q.v.) and ice-sheets. These vast masses of

moving ice, when they descend from mountains where the steeper rocks

are clear of snow, receive on their surface the debris detached by

frost from the declivities above, and bear these materials to lower

levels or to the sea. Enormous quantities of rock-rubbish are thus

transported in the Alps and other high mountain ranges. When the ice

retreats the boulders carried by it are dropped where it melts, and

left there as memorials of the former extension of the glaciers.

Evidence of this nature proves the much wider extent of the Alpine ice

at a comparatively recent geological date. It can also be shown that

detritus from Scandinavia has been ice-borne to the south-east of

England and far into the heart of Europe.

The ice, by means of grains of sand and pieces of stone which it drags

along, scores, scratches and polishes the surfaces of rock underneath

it, and, in this way, produces the abundant fine sediment that gives

the characteristic milky appearance to the rivers that issue from the

lower ends of glaciers. By such long-continued attrition the rocks are

worn down, portions of them of softer nature, or where the ice acts

with especial vigour, are hollowed out into cavities which, on the

disappearance of the ice, may be filled with water and become tarns or

lakes. Rocks over which land-ice has passed are marked by a peculiar

smooth, flowing outline, which forms a contrast to the more rugged

surface produced by ordinary weathering. They are covered with

groovings, which range from the finest striae left by sharp grains of

sand to deep ruts ground out by blocks of stone. The trend of these

markings shows the direction in which the ice flowed. By their

evidence the position and movement of former glaciers in countries

from which the ice has entirely vanished may be clearly determined

(see GLACIAL PERIOD).

6. _The Sea._--The physical features of the sea are discussed in

separate articles (see OCEAN AND OCEANOGRAPHY). The sea must be

regarded as the great regulator of temperature and climate over the

globe, and as thus exerting a profound influence on the distribution

of plant and animal life. Its distinctly geological work is partly

erosive and partly reproductive. As an eroding agent it must to some

extent effect chemical decompositions in the rocks and sediments over

which it spreads; but these changes have not yet been satisfactorily

studied. Undoubtedly, its chief destructive power is of a mechanical

kind, and arises from the action of its waves in beating upon

shore-cliffs. By the alternate compression and expansion of the air in

crevices of the rocks on which heavy breakers fall, and by the

hydraulic pressure which these masses of sea-water exert on the walls

of the fissures into which they rush, large masses of rock are

loosened and detached, and caves and tunnels are drilled along the

base of sea-cliffs. Probably still more efficacious are the blows of

the loose shingle, which, caught up and hurled forward by the waves,

falls with great force upon the shore rocks, battering them as with a

kind of artillery until they are worn away. The smooth surfaces of the

rocks within reach of the waves contrasted with their angular forms

above that limit bear witness to the amount of waste, while the

rounded forms of the boulders and shingle show that they too are being

continually reduced in size. Thus the sea, by its action on the

coasts, produces much sediment, which is swept away by its waves and

currents and strewn over its floor. Besides this material, it is

constantly receiving the fine silt and sand carried down by rivers. As

the floor of the ocean is thus the final receptacle for the waste of

the land, it becomes the chief era on the surface of the globe for the

accumulation of new stratified formations. And such has been one of

its great functions since the beginning of geological time, as is

proved by the rocks that form the visible part of the earth's crust,

and consist in great part of marine deposits. Chemical precipitates

take place more especially in enclosed parts of the sea, where

concentration of the water by evaporation can take place, and where

layers of sodium chloride, calcium sulphate and carbonate, and other

salts are laid down. But the chief marine accumulations are of

detrital origin. Near the land and for a variable distance extending

sometimes to 200 or 300 m. from shore the deposits consist chiefly of

sediments derived from the waste of the land, the finer silts being

transported farthest from their source. At greater depths and

distances the ocean floor receives a slow deposit of exceedingly fine

clay, which is believed to be derived from the decomposition of pumice

and volcanic dust from insular or submarine volcanoes. Wide tracts of

the bottom are covered with various forms of ooze derived from the

accumulation of the remains of minute organisms.

(C) _Life._

Among the agents by which geological changes are carried on upon the

surface of the globe living organisms must be enumerated. Both plants

and animals co-operate with the inorganic agents in promoting the

degradation of the land. In some cases, on the other hand, they

protect rocks from decay, while, by the accumulation of their remains,

they give rise to extensive formations both upon the land and in the

sea. Their operations may hence be described as alike destructive,

conservative and reproductive. Under this heading also the influence

of Man as a geological agent deserves notice.

(a) _Plants._--Vegetation promotes the disintegration of rocks and

soil in the following ways: (1) By keeping the surfaces of stone

moist, and thus promoting both mechanical and chemical dissolution, as

is especially shown by liverworts, mosses and other moisture-loving

plants. (2) By producing through their decay carbonic and other

acids, which, together with decaying organic matter taken up by

passing moisture, become potent in effecting the chemical

decomposition of rocks and in promoting the disintegration of soils.

(3) By inserting their roots or branches between joints of rock, which

are thereby loosened, so that large slices may be eventually wedged

off. (4) By attracting rain, as thick woods, forests and peat-mosses

do, and thus accelerating the general waste of a country by running

water. (5) By promoting the decay of diseased and dead plants and

animals, as when fungi overspread a damp rotting tree or the carcase

of a dead animal.

That plants also exert a conservative influence on the surface of the

land is shown in various ways. (1) The formation of a stratum of turf

protects the soil and rocks underneath from being rapidly

disintegrated and washed away by atmospheric action. (2) Many plants,

even without forming a layer of turf, serve by their roots or branches

to protect the loose sand or soil on which they grow from being

removed by wind. The common sand-carex and other arenaceous plants

bind the loose sand-dunes of our coasts, and give them a permanence,

which would at once be destroyed were the sand laid bare again to

storms. The growth of shrubs and brushwood along the course of a

stream not only keeps the alluvial banks from being so easily

undermined and removed as would otherwise be the case, but serves to

arrest the sediment in floods, filtering the water and thereby adding

to the height of the flood plain. (3) Some marine plants, like the

calcareous nullipores, afford protection to shore rocks by covering

them with a hard incrustation. The tangles and smaller Fuci which grow

abundantly on the littoral zone break the force of the waves or

diminish the effects of ground swell. (4) Forests and brushwood

protect the soil, especially on slopes, from being washed away by rain

or ploughed up by avalanches.

Plants contribute by the aggregation of their remains to the formation

of stratified deposits. Some marine algae which secrete carbonate of

lime not only encrust rocks but give rise to sheets of submarine

limestone. An analogous part is played in fresh-water lakes by various

lime-secreting plants, such as _Chara_. Long-continued growth of

vegetation has, in some regions, produced thick accumulations of a

dark loam, as in the black cotton soil (_regur_) of India, and the

black earth (_tchernozom_) of Russia. Peat-mosses are formed in

temperate and arctic climates by the growth of marsh-loving plants,

sometimes to a thickness of 40 or 50 ft. In tropical regions the

mangrove swamps on low moist shores form a dense jungle, sometimes 20

m. broad, which protects these shores from the sea until, by the

arrest of sediment and the constant contribution of decayed

vegetation, the spongy ground is at last turned into firm soil. Some

plants (diatoms) can abstract silica and build it into their

framework, so that their remains form a siliceous deposit or ooze

which covers spaces of the deep sea-floor estimated at more than ten

millions of square miles in extent.

(b) _Animals._--These exert a destructive influence in the following

ways: (1) By seriously affecting the composition and arrangement of

the vegetable soil. Worms bring up the lower portions of the soil to

the surface, and while thus promoting its fertility increase its

liability to be washed away by rain. Burrowing animals, by throwing up

the soil and subsoil, expose these to be dried and blown away by the

wind. At the same time their subterranean passages serve to drain off

the superficial water and to injure the stability of the surface of

the ground above them. In Britain the mole and rabbit are familiar

examples. (2) By interfering with or even diverting the flow of

streams. Thus beaver-dams check the current of water-courses,

intercept floating materials, and sometimes turn streams into new

channels. The embankments of the Mississippi are sometimes weakened to

such an extent by the burrowings of the cray-fish as to give way and

allow the river to inundate the surrounding country. Similar results

have happened in Europe from subterranean operations of rats. (3) Some

mollusca bore into stone or wood and by the number of contiguous

perforations greatly weaken the material. (4) Many animals exercise a

ruinously destructive influence upon vegetation. Of the numerous

plagues of this kind the locust, phylloxera and Colorado beetle may be

cited.

The most important geological function performed by animals is the

formation of new deposits out of their remains. It is chiefly by the

lower grades of the animal kingdom that this work is accomplished,

especially by molluscs, corals and foraminifera. Shell-banks are

formed abundantly in such comparatively shallow and enclosed basins as

that of the North Sea, and on a much more extensive scale on the floor

of the West Indian seas. By the coral polyps thick masses of

limestones have been built up in the warmer seas of the globe (see

CORAL REEFS). The floor of the Atlantic and other oceans is covered

with a fine calcareous ooze derived mainly from the remains of

foraminifera, while in other regions the bottom shows a siliceous ooze

formed almost entirely of radiolaria. Vertebrate animals give rise to

phosphatic deposits formed sometimes of their excrement, as in guano

and coprolites, sometimes of an accumulation of their bones.

(c) _Man._--No survey of the geological workings of plant and animal

life upon the surface of the globe can be complete which does not take

account of the influence of man--an influence of enormous and

increasing consequence in physical geography, for man has introduced,

as it were, an element of antagonism to nature. His interference shows

itself in his relations to climate, where he has affected the

meteorological conditions of different countries: (1) By removing

forests, and laying bare to the sun and winds areas which were

previously kept cool and damp under trees, or which, lying on the lee

side, were protected from tempests. It is supposed that the wholesale

destruction of the woodlands formerly existing in countries bordering

the Mediterranean has been in part the cause of the present

desiccation of these districts. (2) By drainage, whereby the

discharged rainfall is rapidly removed, and the evaporation is

lessened, with a consequent diminution of rainfall and some increase

in the general temperature of a country. (3) By the other processes of

agriculture, such as the transformation of moor and bog into

cultivated land, and the clothing of bare hillsides with green crops

or plantations of coniferous and hardwood trees.

Still more obvious are the results of human interference with the flow

of water: (1) By increasing or diminishing the rainfall man directly

affects the volume of rivers. (2) By his drainage operations he makes

the rain to run off more rapidly than before, and thereby increases

the magnitude of floods and of the destruction caused by them. (3) By

wells, bores, mines, or other subterranean works he interferes with

the underground waters, and consequently with the discharge of

springs. (4) By embanking rivers he confines them to narrow channels,

sometimes increasing their scour, and enabling them to carry their

sediment further seaward, sometimes causing them to deposit it over

the plains and raise their level. (5) By his engineering operations

for water-supply he abstracts water from its natural basins and

depletes the streams.

In many ways man alters the aspect of a country: (1) By changing

forest into bare mountain, or clothing bare mountains with forest. (2)

By promoting the growth or causing the removal of peat-mosses. (3) By

heedlessly uncovering sand-dunes, and thereby setting in motion a

process of destruction which may convert hundreds of acres of fertile

land into waste sand, or by prudently planting the dunes with

sand-loving vegetation and thus arresting their landward progress. (4)

By so guiding the course of rivers as to make them aid him in

reclaiming waste land, and bringing it under cultivation. (5) By piers

and bulwarks, whereby the ravages of the sea are stayed, or by the

thoughtless removal from the beach of stones which the waves had

themselves thrown up, and which would have served for a time to

protect the land. (6) By forming new deposits either designedly or

incidentally. The roads, bridges, canals, railways, tunnels, villages

and towns with which man has covered the surface of the land will in

many cases form a permanent record of his presence. Under his hand the

whole surface of civilized countries is very slowly covered with a

stratum, either formed wholly by him or due in great measure to his

operations and containing many relics of his presence. The soil of

ancient towns has been increased to a depth of many feet by their

successive destructions and renovations.

Perhaps the most subtle of human influences are to be seen in the

distribution of plant and animal life upon the globe. Some of man's

doings in this domain are indeed plain enough, such as the extirpation

of wild animals, the diminution or destruction of some forms of

vegetation, the introduction of plants and animals useful to himself,

and especially the enormous predominance given by him to the cereals

and to the spread of sheep and cattle. But no such extensive

disturbance of the normal conditions of the distribution of life can

take place without carrying with it many secondary effects, and

setting in motion a wide cycle of change and of reaction in the animal

and vegetable kingdoms. For example, the incessant warfare waged by

man against birds and beasts of prey in districts given up to the

chase leads sometimes to unforeseen results. The weak game is allowed

to live, which would otherwise be killed off and give more room for

the healthy remainder. Other animals which feed perhaps on the same

materials as the game are by the same cause permitted to live

unchecked, and thereby to act as a further hindrance to the spread of

the protected species. But the indirect results of man's interference

with the regime of plants and animals still require much prolonged

observation.

PART V.--GEOTECTONIC OR STRUCTURAL GEOLOGY

From a study of the nature and composition of minerals and rocks, and an

investigation of the different agencies by which they are formed and

modified, the geologist proceeds to inquire how these materials have

been put together so as to build up the visible part of the earth's

crust. He soon ascertains that they have not been thrown together wholly

at random, but that they show a recognizable order of arrangement. Some

of them, especially those of most recent growth, remain in their

original condition and position, but, in proportion to their antiquity,

they generally present increasing alteration, until it may no longer be

possible to tell what was their pristine state. As by far the largest

accessible portion of the terrestrial crust consists of stratified

rocks, and as these furnish clear evidence of most of the modifications

to which they have been subjected in the long course of geological

history, it is convenient to take them into consideration first. They

possess a number of structures which belong to the original conditions

in which they were accumulated. They present in addition other

structures which have been superinduced upon them, and which they share

with the unstratified or igneous rocks.

1. ORIGINAL STRUCTURES

(a) _Stratified Rocks._--This extensive and important series is above

all distinguished by possessing a prevailing stratified arrangement.

Their materials have been laid down in laminae, layers and strata, or

beds, pointing generally to the intermittent deposition of the sediments

of which they consist. As this stratification was, as a rule, originally

nearly or quite horizontal, it serves as a base from which to measure

any subsequent disturbance which the rocks have undergone. The

occurrence of false-bedding, i.e. bands of inclined layers between the

normal planes of stratification, does not form any real exception; but

indicates the action of shifting currents whereby the sediment was

transported and thrown down. Other important records of the original

conditions of deposit are supplied by ripple-marks, sun-cracks,

rain-prints and concretions.

From the nature of the material further light is cast on the

geographical conditions in which the strata were accumulated. Thus,

conglomerates indicate the proximity of old shore-lines, sandstones

mark deposits in comparatively shallow water, clays and shales point

to the tranquil accumulation of fine silt at a greater depth and

further from land, while fossiliferous limestones bear witness to

clearer water in which organisms flourished at some distance from

deposits of sand and mud. Again, the alternation of different kinds of

sediment suggests a variability in the conditions of deposition, such

as a shifting of the sediment-bearing currents and of the areas of

muddy and clear water. A thick group of conformable strata, that is, a

series of deposits which show no discordance in their stratification,

may usually be regarded as having been laid down on a sea-floor that

was gently sinking. Here and there evidence is obtainable of the

limits or of the progress of the subsidence by what is called

"overlap." Of the absolute length of time represented by any strata or

groups of strata no satisfactory estimates can yet be formed. Certain

general conclusions may indeed be drawn, and comparisons may be made

between different series of rocks. Sandstones full of false-bedding

were probably accumulated more rapidly than finely-laminated shales or

clays. It is not uncommon in certain Carboniferous formations to find

coniferous and other trunks embedded in sandstone. Some of these trees

seem to have been carried along and to have sunk, their heavier or

root end touching the bottom and their upper end slanting upward in

the direction of the current, exactly as in the case of the snags of

the Mississippi. In other cases the trees have been submerged while

still in their positions of growth. The continuous deposit of sand at

last rose above the level of the trunks and buried them. It is clear

then that the rate of deposit must have been sometimes sufficiently

rapid to allow sand to accumulate to a depth of 30 ft. or more before

the decay of the wood. Modern instances are known where, under certain

circumstances, submerged trees may last for some centuries, but even

the most durable must decay in what, after all, is a brief space of

geological time. Since continuous layers of the same kind of deposit

suggest a persistence of geological conditions, while numerous

alternations of different kinds of sedimentary matter point to

vicissitudes or alternations of conditions, it may be supposed that

the time represented by a given thickness of similar strata was less

than that shown by the same thickness of dissimilar strata, because

the changes needed to bring new varieties of sediment into the area of

deposit would usually require the lapse of some time for their

completion. But this conclusion may often be erroneous. It will be

best supported when, from the very nature of the rocks, wide

variations in the character of the water-bottom can be established.

Thus a group of shales followed by a fossiliferous limestone would

almost always mark the lapse of a much longer period than an equal

depth of sandy strata. A thick mass of limestone, made up of organic

remains which lived and died upon the spot, and whose remains are

crowded together generation above generation, must have demanded many

years or centuries for its formation.

But in all speculations of this kind we must bear in mind that the

length of time represented by a given depth of strata is not to be

estimated merely from their thickness or lithological character. The

interval between the deposit of two successive laminae of shale may

have been as long as, or even longer than, that required for the

formation of one of the laminae. In like manner the interval needed

for the transition from one stratum or kind of strata to another may

often have been more than equal to the time required for the formation

of the strata on either side. But the relative chronological

importance of the bars or lines in the geological record can seldom be

satisfactorily discussed merely on lithological grounds. This must

mainly be decided on the evidence of organic remains, as shown in

Part VI., where the grouping of the stratified rocks into formations

and systems is described.

(b) _Igneous Rocks._--As part of the earth's crust these rocks present

characters by which they are strongly differentiated from the stratified

series. While the broad petrographical distinctions of their several

varieties remain persistent, they present sufficient local variations of

type to point to the existence of what have been called petrographic

provinces, in each of which the eruptive masses are connected by a

general family relationship, differing more or less from that of a

neighbouring province. In each region presenting a long chronological

series of eruptive rocks a petrographical sequence can be traced, which

is observed to be not absolutely the same everywhere, though its general

features may be persistent. The earliest manifestations of eruptive

material in any district appear to have been most frequently of an

intermediate type between acid and basic, passing thence into a

thoroughly acid series and concluding with an effusion of basic

material.

Considered as part of the architecture of the crust of the earth,

igneous rocks are conveniently divisible into two great series: (1)

those bodies of material which have been injected into the crust and

have solidified there, and (2) those which have reached the surface and

have been ejected there, either in a molten state as lava or in a

fragmental form as dust, ashes and scoriae. The first of these divisions

represents the plutonic, intrusive or subsequent phase of eruptivity;

the second marks the volcanic, interstratified or contemporaneous phase.

1. The plutonic or intrusive rocks, which have been forced into the

crust and have consolidated there, present a wide range of texture

from the most coarse-grained granites to the most perfect natural

glass. Seeing that they have usually cooled with extreme slowness

underground, they are as a general rule more largely crystalline than

the volcanic series. The form assumed by each individual body of

intrusive material has depended upon the shape of the space into which

it has been injected, and where it has cooled and become solid. This

shape has been determined by the local structure of the earth's crust

on the one hand and by the energy of the eruptive force on the other.

It offers a convenient basis for the classification of the intrusive

rocks, which, as part of the framework of the crust, may thus be

grouped according to the shape of the cavity which received them, as

bosses, sills, dikes and necks.

Bosses, or stocks, are the largest and most shapeless extravasations

of erupted material. They include the great bodies of granite which,

in most countries of the world, have risen for many miles through the

stratified formations and have altered the rocks around them by

contact-metamorphism. Sills, or intrusive sheets, are bed-like masses

which have been thrust between the planes of sedimentary or even of

igneous rocks. The term laccolite has been applied to sills which are

connected with bosses. Intrusive sheets are distinguishable from true

contemporaneously intercalated lavas by not keeping always to the same

platform, but breaking across and altering the contiguous strata, and

by the closeness of their texture where they come in contact with the

contiguous rocks, which, being cold, chilled the molten material and

caused it to consolidate on its outer margins more rapidly than in its

interior. Dikes or veins are vertical walls or ramifying branches of

intrusive material which has consolidated in fissures or irregular

clefts of the crust. Necks are volcanic chimneys which have been

filled up with erupted material, and have now been exposed at the

surface after prolonged denudation has removed not only the

superficial volcanic masses originally associated with them, but also

more or less of the upper part of the vents. Plutonic rocks do not

present evidence of their precise geological age. All that can be

certainly affirmed from them is that they must be younger than the

rocks into which they have been intruded. From their internal

structure, however, and from the evidence of the rocks associated with

them, some more or less definite conjectures may be made as to the

limits of time within which they were probably injected.

2. The interstratified or volcanic series is of special importance in

geology, inasmuch as it contains the records of volcanic action during

the past history of the globe. It was pointed out in Part I. that

while towards the end of the 18th and in the beginning of the 19th

century much attention was paid by Hutton and his followers to the

proofs of intrusion afforded by what they called the "unerupted lavas"

within the earth's crust, these observers lost sight of the

possibility that some of these rocks might have been erupted at the

surface, and might thus be chronicles of volcanic action in former

geological periods. It is not always possible to satisfactorily

discriminate between the two types of contemporaneously intercalated

and subsequently injected material. But rocks of the former type have

not broken into or involved the overlying strata, and they are usually

marked by the characteristic structures of superficial lavas and by

their association with volcanic tuffs. By means of the evidence which

they supply, it has been ascertained that volcanic action has been

manifested in the globe since the earliest geological periods. In the

British Isles, for example, the volcanic record is remarkably full for

the long series of ages from Cambrian to Permian time, and again for

the older Tertiary period.

2. SUBSEQUENTLY INDUCED STRUCTURES

After their accumulation, whether as stratified or eruptive masses, all

kinds of rocks have been subject to various changes, and have acquired

in consequence a variety of superinduced structures. It has been pointed

out in the part of this article dealing with dynamical geology that one

of the most important forms of energy in the evolution of geological

processes is to be found in the movements that take place within the

crust of the earth. Some of these movements are so slight as to be only

recognizable by means of delicate instruments; but from this inferior

limit they range up to gigantic convulsions by which mountain-chains are

upheaved. The crust must be regarded as in a perpetual state of strain,

and its component materials are therefore subject to all the effects

which flow from that condition. It is the one great object of the

geotectonic division of geology to study the structures which have been

developed in consequence of earth-movements, and to discover from this

investigation the nature of the processes whereby the rocks of the crust

have been brought into the condition and the positions in which we now

find them. The details of this subject will be found in separate

articles descriptive of each of the technical terms applied to the

several kinds of superinduced structures. All that need be offered here

is a general outline connecting the several portions of the subject

together.

One of the most universal of these later structures is to be seen in

the divisional planes, usually vertical or highly inclined, by which

rocks are split into quadrangular or irregularly shaped blocks. To

these planes the name of joints has been given. They are of prime

importance from an industrial point of view, seeing that the art of

quarrying consists mainly in detecting and making proper use of them.

Their abundance in all kinds of rocks, from those of recent date up to

those of the highest antiquity, affords a remarkable testimony to the

strains which the terrestrial crust has suffered. They have arisen

sometimes from tension, such as that caused by contraction from the

drying and consolidation of an aqueous sediment or from the cooling of

a molten mass; sometimes from torsion during movements of the crust.

Although the stratified rocks were originally deposited in a more or

less nearly horizontal position on the floor of the sea, where now

visible on the dry land they are seldom found to have retained their

flatness. On the contrary, they are seen to have been generally tilted

up at various angles, sometimes even placed on end (crop, dip,

strike). When a sufficiently large area of ground is examined, the

inclination into which the strata have been thrown may be observed not

to continue far in the same direction, but to turn over to the

opposite or another quarter. It can then be seen that in reality the

rocks have been thrown into undulations. From the lowest and flattest

arches where the departure from horizontality may be only trifling,

every step may be followed up to intense curvature, where the strata

have been compressed and plicated as if they had been piles of soft

carpets (anticline, syncline, monocline, geo-anticline, geo-syncline,

isoclinal, plication, curvature, quaquaversal). It has further

happened abundantly all over the surface of the globe that relief from

internal strain in the crust has been obtained by fracture, and the

consequent subsidence or elevation of one or both sides of the

fissure. The differential movement between the two sides may be

scarcely perceptible in the feeblest dislocation, but in the extreme

cases it may amount to many thousand feet (fault, fissure,

dislocation, hade, slickensides). The great faults in a country are

among its most important structural features, and as they not

infrequently continue to be lines of weakness in the crust along which

sudden slipping may from time to time take place, they become the

lines of origin of earthquakes. The San Francisco earthquake of 1906,

already cited, affords a memorable illustration of this connexion.

It is in a great mountain-chain that the extraordinary complication of

plicated and faulted structures in the crust of the earth can be most

impressively beheld. The combination of overturned folds with rupture

has been already referred to as a characteristic feature in the Alps

(Part IV.). The gigantic folds have in many places been pushed over

each other so as to lie almost flat, while the upper limb has not

infrequently been driven for many miles beyond the lower by a rupture

along the axis. In this way successive slices of a thick series of

formations have been carried northwards on the northern slope of the

Alps, and have been piled so abnormally above each other that some of

their oldest members recur several times on different thrust-planes,

the whole being underlain by Tertiary strata (see ALPS). Further

proof of the colossal compression to which the rocks have been

subjected is afforded by their intense crumpling and corrugation, and

by the abundantly faulted and crushed condition to which they have

been reduced. Similar evidence as to stresses in the terrestrial crust

and the important changes which they produce among the rocks may also

be obtained on a smaller scale in many non-mountainous countries.

Another marked result of the compression of the terrestrial crust has

been induced in some rocks by the production of the fissile structure

which is typically shown in roofing-slate (cleavage). Closely

connected with this internal rearrangement has been the development of

microscopic microlites or crystals (rutile, mica, &c.) in argillaceous

slates which were undoubtedly originally fine marine mud and silt.

From this incipient form of metamorphism successive stages may be

traced through the various kinds of argillite and phyllite into

mica-schist, and thence into more crystalline gneissoid varieties

(foliation, slate, mica-schist, gneiss). The Alps afford excellent

illustrations of these transformations.

The fissures produced in the crust are sometimes clean, sharply

defined divisional planes, like cracks across a pane of glass. Much

more usually, however, the rocks on either side have been broken up by

the friction of movement, and the fault is marked by a variable

breadth of this broken material. Sometimes the walls have separated

and molten rock has risen from below and solidified between them as a

dike. Occasionally the fissures have opened to the surface, and have

been filled in from above with detritus, as in the sandstone-dikes of

Colorado and California. In mineral districts the fissures have been

filled with various spars and ores, forming what are known as mineral

veins.

Where one series of rocks is covered by another without any break or

discordance in the stratification they are said to be conformable. But

where the older series has been tilted up or visibly denuded before

being overlain by the younger, the latter is termed unconformable.

This relation is one of the greatest value in structural geology, for

it marks a gap in the geological record, which may represent a vast

lapse of time not there recorded by strata.

PART VI.--PALEONTOLOGICAL GEOLOGY

This division of the science deals with fossils, or the traces of plants

and animals preserved in the rocks of the earth's crust, and endeavours

to gather from them information as to the history of the globe and its

inhabitants. The term "fossil" (Lat. _fossilis_, from _fodere_, to dig

up), meaning literally anything "dug up," was formerly applied

indiscriminately to any mineral substance taken out of the earth's

crust, whether organized or not. Since the time of Lamarck, however, the

meaning of the word has been restricted, so as to include only the

remains or traces of plants and animals preserved in any natural

formation whether hard rock or superficial deposit. It includes not

merely the petrified structures of organisms, but whatever was directly

connected with or produced by these organisms. Thus the resin which was

exuded from trees of long-perished forests is as much a fossil as any

portion of the stem, leaves, flowers or fruit, and in some respects is

even more valuable to the geologist than more determinable remains of

its parent trees, because it has often preserved in admirable perfection

the insects which flitted about in the woodlands. The burrows and trails

of a worm preserved in sandstone and shale claim recognition as fossils,

and indeed are commonly the only indications to be met with of the

existence of annelid life among old geological formations. The droppings

of fishes and reptiles, called coprolites, are excellent fossils, and

tell their tale as to the presence and food of vertebrate life in

ancient waters. The little agglutinated cases of the caddis-worm remain

as fossils in formations from which, perchance, most other traces of

life may have passed away. Nay, the very handiwork of man, when

preserved in any natural manner, is entitled to rank among fossils; as

where his flint-implements have been dropped into the pre-historic

gravels of river-valleys or where his canoes have been buried in the

silt of lake-bottoms.

A study of the land-surfaces and sea-floors of the present time shows

that there are so many chances against the conservation of the remains

of either terrestrial or marine animals and plants that if, as is

probable, the same conditions existed in former geological periods, we

should regard the occurrence of organic remains among the stratified

formations of the earth's crust as generally the result of various

fortunate accidents.

Let us consider, in the first place, the chances for the preservation

of remains of the present fauna and flora of a country. The surface of

the land may be densely clothed with forest and abundantly peopled

with animal life. But the trees die and moulder into soil. The

animals, too, disappear, generation after generation, and leave few or

no perceptible traces of their existence. If we were not aware from

authentic records that central and northern Europe were covered with

vast forests at the beginning of our era, how could we know this fact?

What has become of the herds of wild oxen, the bears, wolves and other

denizens of primeval Europe? How could we prove from the examination

of the surface soil of any country that those creatures had once

abounded there? The conditions for the preservation of any relics of

the plant and animal life of a terrestrial surface must obviously be

always exceptional. They are supplied only where the organic remains

can be protected from the air and superficial decay. Hence they may be

observed in (1) the deposits on the floors of lakes; (2) in

peat-mosses; (3) in deltas at river-mouths; and (4) under the

stalagmite of caverns in limestone districts. But in these and other

favourable places a mere infinitesimal fraction of the fauna or flora

of a land-surface is likely to be entombed or preserved.

In the second place, although in the sea the conditions for the

preservation of organic remains are in many respects more favourable

than on land, they are apt to be frustrated by many adverse

circumstances. While the level of the land remains stationary, there

can be but little effective entombment of marine organisms in littoral

deposits; for only a limited accumulation of sediment will be formed

until subsidence of the sea-floor takes place. In the trifling beds of

sand or gravel thrown up on a stationary shore, only the harder and

more durable forms of life, such as gastropods and lamellibranchs,

which can withstand the triturating effects of the beach waves, are

likely to remain uneffaced.

Below tide-marks, along the margin of the land where sediment is

gradually deposited, the conditions are more favourable for the

preservation of marine organisms. In the sheets of sand and mud there

laid down the harder parts of many forms of life may be entombed and

protected from decay. But only a small proportion of the total marine

fauna may be expected to appear in such deposits. At the best, merely

littoral and shallow-water forms will occur, and, even under the most

favourable conditions, they will represent but a fraction of the whole

assemblage of life in these juxta-terrestrial parts of the ocean. As

we recede from the land the rate of deposition of sediment on the

sea-floor must become feebler, until, in the remote central abysses,

it reaches a hardly appreciable minimum. Except, therefore, where some

kind of ooze or other deposit is accumulating in these more pelagic

regions, the conditions must be on the whole unfavourable for the

preservation of any adequate representation of the deep-sea fauna.

Hard durable objects, such as teeth and bones, may slowly accumulate,

and be protected by a coating of peroxide of manganese, or of some of

the silicates now forming here and there over the deep-sea bottom; or

the rate of growth of the abysmal deposit may be so tardy that most of

the remains of at least the larger animals will disappear, owing to

decay, before they can be covered up and preserved. Any such deep-sea

formation, if raised into land, would supply but a meagre picture of

the whole life of the sea.

It would thus appear that the portion of the sea-floor best suited for

receiving and preserving the most varied assemblage of marine organic

remains is the area in front of the land, to which rivers and currents

bring continual supplies of sediment. The most favourable conditions

for the accumulation of a thick mass of marine fossiliferous strata

will arise when the area of deposit is undergoing a gradual

subsidence. If the rate of depression and that of deposit were equal,

or nearly so, the movement might proceed for a vast period without

producing any great apparent change in marine geography, and even

without seriously affecting the distribution of life over the

sea-floor within the area of subsidence. Hundreds or thousands of feet

of sedimentary strata might in this way be heaped up round the

continents, containing a fragmentary series of organic remains

belonging to those forms of comparatively shallow-water life which had

hard parts capable of preservation. There can be little doubt that

such has, in fact, been the history of the main mass of stratified

formations in the earth's crust. By far the largest proportion of

these piles of marine strata has unquestionably been laid down in

water of no great depth within the area of deposit of terrestrial

sediment. The enormous thickness to which they attain seems only

explicable by prolonged and repeated movements of subsidence,

interrupted, however, as we know, by other movements of a contrary

kind.

Since the conditions for the preservation of organic remains exist

more favourably under the sea than on land, marine organisms must be

far more abundantly conserved than those of the land. This is true

to-day, and has, as far as known, been true in all past geological

time. Hence for the purposes of the geologist the fossil remains of

marine forms of life far surpass all others in value. Among them there

will necessarily be a gradation of importance, regulated chiefly by

their relative abundance. Now, of all the marine tribes which live

within the juxta-terrestrial belt of sedimentation, unquestionably the

Mollusca stand in the place of pre-eminence as regards their aptitude

for becoming fossils. They almost all possess a hard, durable shell,

capable of resisting considerable abrasion and readily passing into a

mineralized condition. They are extremely abundant both as to

individuals and genera. They occur on the shore within tide mark, and

range thence down into the abysses. Moreover, they appear to have

possessed these qualifications from early geological times. In the

marine Mollusca, therefore, we have a common ground of comparison

between the stratified formations of different periods. They have been

styled the alphabet of palaeontological inquiry.

There are two main purposes to which fossils may be put in geological

research: (1) to throw light upon former conditions of physical

geography, such as the presence of land, rivers, lakes and seas, in

places where they do not now exist, changes of climate, and the former

distribution of plants and animals; and (2) to furnish a guide in

geological chronology whereby rocks may be classified according to

relative date, and the facts of geological history may be arranged and

interpreted as a connected record of the earth's progress.

1. As examples of the first of these two directions of inquiry

reference may be made to (a) former land-surfaces revealed by the

occurrence of layers of soil with tree-stumps and roots still in the

position of growth (see PURBECKIAN); (b) ancient lakes proved by beds

of marl or limestone full of lacustrine shells; (c) old sea-bottoms

marked by the occurrence of marine organisms; (d) variations in the

quality of the water, such as freshness or saltness, indicated by

changes in the size and shape of the fossils; (e) proximity to former

land, suggested by the occurrence of abundant drift-wood in the

strata; (f) former conditions of climate, different from the present,

as evidenced by such organisms as tropical types of plants and animals

intercalated among the strata of temperate or northern countries.

2. In applying fossils to the determination of geological chronology

it is first necessary to ascertain the order of superposition of the

rocks. Obviously, in a continuous series of undisturbed sedimentary

deposits the lowest must necessarily be the oldest, and the plants or

animals which they contain must have lived and died before any of the

organisms that occur in the overlying strata. This order of

superposition having been settled in a series of formations, it is

found that the fossils at the bottom are not quite the same as those

at the top of the series. Tracing the beds upward, we discover that

species after species of the lowest platforms disappears, until

perhaps not one of them is found. With the cessation of these older

species others make their entrance. These, in turn, are found to die

out, and to be replaced by newer forms. After patient examination of

the rocks, it has been ascertained that every well-marked "formation,"

or group of strata, is characterized by its own species or genera, or

by a general assemblage, or _facies_, of organic forms. Such a

generalization can only, of course, be determined by actual practical

experience over an area of some size. When the typical fossils of a

formation are known, they serve to identify that formation in its

progress across a country. Thus, in tracts where the true order of

superposition cannot be determined, owing to the want of sections or

to the disturbed condition of the rocks, fossils serve as a means of

identification and furnish a guide to the succession of the rocks.

They even demonstrate that in some mountainous ground the beds have

been turned completely upside down, where it can be shown that the

fossils in what are now the uppermost strata ought properly to lie

underneath those in the beds below them.

It is by their characteristic fossils that the stratified rocks of the

earth's crust can be most satisfactorily subdivided into convenient

groups of strata and classed in chronological order. Each "formation"

is distinguished by its own peculiar assemblage of organic remains, by

means of which it can be followed and recognized, even amid the

crumplings and dislocations of a disturbed region. The same general

succession of organic types can be observed over a large part of the

world, though, of course, with important modifications in different

countries. This similarity of succession has been termed _homotaxis_,

a term which expresses the fact that the order in which the leading

types of organized existence have appeared upon the earth has been

similar even in widely separated regions. It is evident that, in this

way, a reliable method of comparison is furnished, whereby the

stratified formations of different parts of the earth's crust can be

brought into relation with each other. Had the geologist continued to

remain, as in the days of Werner, hampered by the limitations imposed

by a reliance on mere lithological characters, he would have made

little or no progress in deciphering the record of the successive

phases of the history of the globe chronicled in the crust. Just as,

at the present time, sheets of gravel in one place are contemporaneous

with sheets of mud at another, so in the past all kinds of

sedimentation have been in progress simultaneously, and those of one

period may not be distinguishable in themselves from those of another.

Little or no reliance can be placed upon lithological resemblances or

differences in comparing the sedimentary formations of different

countries.

In making use of fossil evidence for the purpose of subdividing the

stratified rocks of the earth's crust, it is found to be applicable to

the smaller details of stratigraphy as well as to the definition of

large groups of strata. Thus a particular stratum may be marked by the

occurrence in it of various fossils, one or more of which may be

distinctive, either from occurring in no other bed above and below or

from special abundance in that stratum. One or more of these species

is therefore used as a guide to the occurrence of the bed in

question, which is called by the name of the most abundant species. In

this way what is called a "geological horizon," or "zone," is marked

off, and its exact position in the series of formations is fixed.

Perhaps the most distinctive feature in the progress of

palaeontological geology during the last half century has been the

recognition and wide application of this method of zonal stratigraphy,

which, in itself, was only a further development of William Smith's

famous idea, "Strata identified by Organized Fossils." It was first

carried out in detail by various palaeontologists in reference to the

Jurassic formations, notably by F.A. von Quenstedt and C.A. Oppel in

Germany and A.D. d'Orbigny in France. The publication of Oppel's

classic work _Die Juraformation Englands, Frankreichs und des

sudwestlichen Deutschlands_ (1856-1858) marked an epoch in the

development of stratigraphical geology. Combining what had been done

by various observers with his own laborious researches in France,

England, Wurttemberg and Bavaria, he drew up a classification of the

Jurassic system, grouping its several formations into zones, each

characterized by some distinctly predominant fossil after which it was

named (see LIAS). The same method of classification was afterwards

extended to the Cretaceous series by A.D. d'Orbigny, E. Hebert and

others, until the whole Mesozoic rocks from the Trias to the top of

the Chalk has now been partitioned into zones, each named after some

characteristic species or genus of fossils. More recently the

principle has been extended to the Palaeozoic formations, though as

yet less fully than to the younger parts of the geological record. It

has been successfully applied by Professor C. Lapworth to the

investigation of the Silurian series (see SILURIAN; ORDOVICIAN

SYSTEM). He found that the species of graptolites have each a

comparatively narrow vertical range, and they may consequently be used

for stratigraphical purposes. Applying the method, in the first

instance, to the highly plicated Silurian rocks of the south of

Scotland, he found that by means of graptolites he was able to work

out the structure of the ground. Each great group of strata was seen

to possess its own graptolitic zones, and by their means could be

identified not only in the original complex Scottish area, but in

England and Wales and in Ireland. It was eventually ascertained that

the succession of zones in Great Britain could be recognized on the

Continent, in North America and even in Australia. The brachiopods and

trilobites have likewise been made use of for zonal purposes among the

oldest sedimentary formations. The most ancient of the Palaeozoic

systems has as its fitting base the _Olenellus_ zone.

Within undefined and no doubt variable geographical limits

palaeontological zones have been found to be remarkably persistent.

They follow each other in the same general order, but not always with

equal definiteness. The type fossil may appear in some districts on a

higher or a lower platform than it does in others. Only to a limited

degree is there any coincidence between lithological variations in the

strata and the sequence of the zones. In the Jurassic formations,

indeed, where frequent alternations of different sedimentary materials

are to be met with, it is in some cases possible to trace a definite

upward or downward limit for a zone by some abrupt change in the

sedimentation, such as from limestone to shale. But such a precise

demarcation is impossible where no distinct bands of different

sediments are to be seen. The zones can then only be vaguely

determined by finding their characteristic fossils, and noting where

these begin to appear in the strata and where they cease. It would

seem, therefore, that the sequence of palaeontological zones, or

life-horizons, has not depended merely upon changes in the nature of

the conditions under which the organisms lived. We should naturally

expect that these changes would have had a marked influence; that, for

instance, a difference should be perceptible between the character of

the fossils in a limestone and that of those in a shale or a

sandstone. The environment, when a limestone was in course of

deposition, would generally be one of clear water, favourable for a

more vigorous and more varied fauna than where a shale series was

accumulating, when the water would be discoloured, and only such

animals would continue to live in it, or on the bottom, as could

maintain themselves in the midst of mud. But no such lithological

reason, betokening geographical changes that would affect living

creatures, can be adduced as a universally applicable explanation of

the occurrence and limitation of palaeontological zones. One of these

zones may be only a few inches, or feet or yards in vertical extent,

and no obvious lithological or other cause can be seen why its

specially characteristic fossils should not be found just as

frequently in the similar strata above and below. There is often

little or no evidence of any serious change in the conditions of

sedimentation, still less of any widespread physical disturbance, such

as the catastrophes by which the older geologists explained the

extinction of successive types of life.

It has been suggested that, where the life-zones are well defined,

sedimentation has been extremely slow, and that though these zones

follow each other with no break in the sedimentation, they were really

separated by prolonged intervals of time during which organic

evolution could come effectively into play. But it is not easy to

explain how, for example in the Lower Lias, there could have been a

succession of prodigious intervals, when practically no sediment was

laid down, and yet that the strata should show no sign of

contemporaneous disturbance or denudation, but succeed each other as

if they had been accumulated by one continuous process of deposit. It

must be admitted that the problem of life-zones in stratigraphical

geology has not yet been solved.

As Darwin first cogently showed, the history of life has been very

imperfectly registered in the stratified parts of the earth's crust.

Apart from the fact that, even under the most favourable conditions,

only a small proportion of the total flora and fauna of any period

would be preserved in the fossil state, enormous gaps occur where no

record has survived at all. It is as if whole chapters and books were

missing from a historical work. Some of these lacunae are sufficiently

obvious. Thus, in some cases, powerful dislocations have thrown

considerable portions of the rocks out of sight. Sometimes extensive

metamorphism has so affected them that their original characters,

including their organic contents, have been destroyed. Oftenest of

all, denudation has come into play, and vast masses of fossiliferous

rock have been entirely worn away, as is demonstrated by the abundant

unconformabilities in the structure of the earth's crust.

While the mere fact that one series of rocks lies unconformably on

another proves the lapse of a considerable interval between their

respective dates, the relative length of this interval may sometimes

be proved by means of fossil evidence, and by this alone. Let us

suppose, for example, that a certain group of formations has been

disturbed, upraised, denuded and covered unconformably by a second

group. In lithological characters the two may closely resemble each

other, and there may be nothing to show that the gap represented by

their unconformability is of an important character. In many cases,

indeed, it would be quite impossible to pronounce any well-grounded

judgment as to the amount of interval, even measured by the vague

relative standards of geological chronology. But if each group

contains a well-preserved suite of organic remains, it may not only be

possible, but easy, to say exactly how much of the geological record

has been left out between the two sets of formations. By comparing the

fossils with those obtained from regions where the geological record

is more complete, it may be ascertained, perhaps, that the lower rocks

belong to a certain platform or stage in geological history which for

our present purpose we may call D, and that the upper rocks can in

like manner be paralleled with stage H. It would be then apparent that

at this locality the chronicles of three great geological periods E,

F, and G were wanting, which are elsewhere found to be intercalated

between D and H. The lapse of time represented by this

unconformability would thus be equivalent to that required for the

accumulation of the three missing formations in those regions where

sedimentation was more continuous.

Fossil evidence may be made to prove the existence of gaps which are

not otherwise apparent. As has been already remarked, changes in

organic forms must, on the whole, have been extremely slow in the

geological past. The whole species of a sea-floor could not pass

entirely away, and be replaced by other forms, without the lapse of

long periods of time. If then among the conformable stratified

formations of former ages we encounter sudden and abrupt changes in

the _facies_ of the fossils, we may be certain that these must mark

omissions in the record, which we may hope to fill in from a more

perfect series elsewhere. The complete biological contrasts between

the fossil contents of unconformable strata are sufficiently

explicable. It is not so easy to give a satisfactory account of those

which occur where the beds are strictly conformable, and where no

evidence can be observed of any considerable change of physical

conditions at the time of deposit. A group of strata having the same

general lithological characters throughout may be marked by a great

discrepance between the fossils above and below a certain line. A few

species may pass from the one into the other, or perhaps every species

may be different. In cases of this kind, when proved to be not merely

local but persistent over wide areas, we must admit, notwithstanding

the apparently undisturbed and continuous character of the original

deposition of the strata, that the abrupt transition from the one

_facies_ of fossils to the other represents a long interval of time

which has not been recorded by the deposit of strata. A.C. Ramsay, who

called attention to these gaps, termed them "breaks in the succession

of organic remains." He showed that they occur abundantly among the

Palaeozoic and Secondary rocks of England. It is obvious, of course,

that such breaks, even though traceable over wide regions, were not

general over the whole globe. There have never been any universal

interruptions in the continuity of the chain of being, so far as

geological evidence can show. But the physical changes which caused

the breaks may have been general over a zoological district or minor

region. They no doubt often caused the complete extinction of genera

and species which had a small geographical range.

From all these facts it is clear that the geological record, as it now

exists, is at the best but an imperfect chronicle of geological

history. In no country is it complete. The lacunae of one region must

be supplied from another. Yet in proportion to the geographical

distance between the localities where the gaps occur and those whence

the missing intervals are supplied, the element of uncertainty in our

reading of the record is increased. The most desirable method of

research is to exhaust the evidence for each area or province, and to

compare the general order of its succession as a whole with that which

can be established for other provinces.

PART VII.--STRATIGRAPHICAL GEOLOGY

This branch of the science arranges the rocks of the earth's crust in

the order of their appearance, and interprets the sequence of events of

which they form the records. Its province is to cull from the other

departments of geology the facts which may be needed to show what has

been the progress of our planet, and of each continent and country, from

the earliest times of which the rocks have preserved any memorial. Thus

from mineralogy and petrography it contains information regarding the

origin and subsequent mutations of minerals and rocks. From dynamical

geology it learns by what agencies the materials of the earth's crust

have been formed, altered, broken, upheaved and melted. From geotectonic

geology it understands the various processes whereby these materials

were put together so as to build up the complicated crust of the earth.

From palaeontological geology it receives in well-determined fossil

remains a clue by which to discriminate the different stratified

formations, and to trace the grand onward march of organized existence

upon this planet. Stratigraphical geology thus gathers up the sum of all

that is made known by the other departments of the science, and makes it

subservient to the interpretation of the geological history of the

earth.

The leading principles of stratigraphy may be summed up as follows:

1. In every stratigraphical research the fundamental requisite is to

establish the order of superposition of the strata. Until this is

accomplished it is impossible to arrange the dates, and make out the

sequence of geological history.

2. The stratified portion of the earth's crust, or what has been called

the "geological record," can be subdivided into natural groups, or

series of strata, characterized by distinctive organic remains and

recognizable by these remains, in spite of great changes in lithological

character from place to place. A bed, or a number of beds, linked

together by containing one or more distinctive species or genera of

fossils is termed a _zone_ or _horizon_, and usually bears the name of

one of its more characteristic fossils, as the _Planorbis_-zone of the

Lower Lias, which is so called from the prevalence in it of the ammonite

_Psiloceras planorbis_. Two or more such zones related to each other by

the possession of a number of the same characteristic species or genera

have been designated _beds_ or an _assise_. Two or more sets of beds or

assises similarly related form a _group_ or _stage_; a number of groups

or stages make a _series_, _formation_ or _section_, and a succession of

formations may be united into a _system_.

3. Some living species of plants and animals can be traced downwards

through the more recent geological formations; but the number which can

be so followed grows smaller as the examination is pursued into more

ancient deposits. With their disappearance other species or genera

present themselves which are no longer living. These in turn may be

traced backward into earlier formations, till they too cease and their

places are taken by yet older forms. It is thus shown that the

stratified rocks contain the records of a gradual progression of organic

forms. A species which has once died out does not seem ever to have

reappeared.

4. When the order of succession of organic remains among the stratified

rocks has been determined, they become an invaluable guide in the

investigation of the relative age of rocks and the structure of the

land. Each zone and formation, being characterized by its own species or

genera, may be recognized by their means, and the true succession of

strata may thus be confidently established even in a country wherein the

rocks have been shattered by dislocation, folded, inverted or

metamorphosed.

5. Though local differences exist in regard to the precise zone in which

a given species of organism may make its first appearance, the general

order of succession of the organic forms found in the rocks is never

inverted. The record is nowhere complete in any region, but the portions

represented, even though extremely imperfect, always follow each other

in their proper chronological order, unless where disturbance of the

crust has intervened to destroy the original sequence.

6. The relative chronological value of the divisions of the geological

record is not to be measured by mere depth of strata. While it may be

reasonably assumed that, in general, a great thickness of stratified

rock must mark the passage of a long period of time, it cannot safely be

affirmed that a much less thickness elsewhere must represent a

correspondingly diminished period. The need for this caution may

sometimes be made evident by an unconformability between two sets of

rocks, as has already been explained. The total depth of both groups

together may be, say 1000 ft. Elsewhere we may find a single unbroken

formation reaching a depth of 10,000 ft.; but it would be unwarrantable

to assume that the latter represents ten times the length of time

indicated by the former two. So far from this being the case, it might

not be difficult to show that the minor thickness of rock really denotes

by far the longer geological interval. If, for instance, it could be

proved that the upper part of both the sections lies on one and the same

geological platform, but that the lower unconformable series in the one

locality belongs to a far lower and older system of rocks than the base

of the thick conformable series in the other, then it would be clear

that the gap marked by the unconformability really indicates a longer

period than the massive succession of deposits.

7. Fossil evidence furnishes the chief means of comparing the relative

value of formations and groups of rock. A "break in the succession of

organic remains," as already explained, marks an interval of time often

unrepresented by strata at the place where the break is found. The

relative importance of these breaks, and therefore, probably, the

comparative intervals of time which they mark, may be estimated by the

difference of the _facies_ or general character of the fossils on each

side. If, for example, in one case we find every species to be

dissimilar above and below a certain horizon, while in another locality

only half of the species on each side are peculiar, we naturally infer,

if the total number of species seems large enough to warrant the

inference, that the interval marked by the former break was much longer

than that marked by the second. But we may go further and compare by

means of fossil evidence the relation between breaks in the succession

of organic remains and the depth of strata between them.

Three formations of fossiliferous strata, A, C, and H, may occur

conformably above each other. By a comparison of the fossil contents

of all parts of A, it may be ascertained that, while some species are

peculiar to its lower, others to its higher portions, yet the majority

extend throughout the formation. If now it is found that of the total

number of species in the upper portion of A only one-third passes up

into C, it may be inferred with some plausibility that the time

represented by the break between A and C was really longer than that

required for the accumulation of the whole of the formation A. It

might even be possible to discover elsewhere a thick intermediate

formation B filling up the gap between A and C. In like manner were it

to be discovered that, while the whole of the formation C is

characterized by a common suite of fossils, not one of the species and

only one half of the genera pass up into H, the inference could hardly

be resisted that the gap between the two formations marks the passage

of a far longer interval than was needed for the deposition of the

whole of C. And thus we reach the remarkable conclusion that, thick

though the stratified formations of a country may be, in some cases

they may not represent so long a total period of time as do the gaps

in their succession,--in other words, that non-deposition was more

frequent and prolonged than deposition, or that the intervals of time

which have been recorded by strata have not been so long as those

which have not been so recorded.

In all speculations of this nature, however, it is necessary to reason

from as wide a basis of observation as possible, seeing that so much of

the evidence is negative. Especially needful is it to bear in mind that

the cessation of one or more species at a certain line among the rocks

of a particular district may mean nothing more than that, onward from

the time marked by that line, these species, owing to some change in the

conditions of life, were compelled to migrate or became locally extinct

or, from some alteration in the conditions of fossilization, were no

longer imbedded and preserved as fossils. They may have continued to

flourish abundantly in neighbouring districts for a long period

afterward. Many examples of this obvious truth might be cited. Thus in a

great succession of mingled marine, brackish-water and terrestrial

strata, like that of the Carboniferous Limestone series of Scotland,

corals, crinoids and brachiopods abound in the limestones and

accompanying shales, but disappear as the sandstones, ironstones, clays,

coals and bituminous shales supervene. An observer meeting for the first

time with an instance of this disappearance, and remembering what he had

read about breaks in succession, might be tempted to speculate about the

extinction of these organisms, and their replacement by other and later

forms of life, such as the ferns, lycopods, estuarine or fresh-water

shells, ganoid fishes and other fossils so abundant in the overlying

strata. But further research would show him that high above the

plant-bearing sandstones and coals other limestones and shales might be

observed, once more charged with the same marine fossils as before, and

still farther overlying groups of sandstones, coals and carbonaceous

beds followed by yet higher marine limestones. He would thus learn that

the same organisms, after being locally exterminated, returned again and

again to the same area. After such a lesson he would probably pause

before too confidently asserting that the highest bed in which we can

detect certain fossils marks their final appearance in the history of

life. Some breaks in the succession may thus be extremely local, one set

of organisms having been driven to a different part of the same region,

while another set occupied their place until the first was enabled to

return.

8. The geological record is at the best but an imperfect chronicle of

the geological history of the earth. It abounds in gaps, some of which

have been caused by the destruction of strata owing to metamorphism,

denudation or otherwise, others by original non-deposition, as above

explained. Nevertheless from this record alone can the progress of the

earth be traced. It contains the registers of the appearance and

disappearance of tribes of plants and animals which have from time to

time flourished on the earth. Only a small proportion of the total

number of species which have lived in past time have been thus

chronicled, yet by collecting the broken fragments of the record an

outline at least of the history of life upon the earth can be

deciphered.

It cannot be too frequently stated, nor too prominently kept in view,

that, although gaps occur in the succession of organic remains as

recorded in the rocks, they do not warrant the conclusion that any such

blank intervals ever interrupted the progress of plant and animal life

upon the globe. There is every reason to believe that the march of life

has been unbroken, onward and upward. Geological history, therefore, if

its records in the stratified formations were perfect, ought to show a

blending and gradation of epoch with epoch. But the progress has been

constantly interrupted, now by upheaval, now by volcanic outbursts, now

by depression. These interruptions serve as natural divisions in the

chronicle, and enable the geologist to arrange his history into periods.

As the order of succession among stratified rocks was first made out in

Europe, and as many of the gaps in that succession were found to be

widespread over the European area, the divisions which experience

established for that portion of the globe came to be regarded as

typical, and the names adopted for them were applied to the rocks of

other and far distant regions. This application has brought out the fact

that some of the most marked breaks in the European series do not exist

elsewhere, and, on the other hand, that some portions of that series are

much more complete than the corresponding sections in other regions.

Hence, while the general similarity of succession may remain, different

subdivisions and nomenclature are required as we pass from continent to

continent.

The nomenclature adopted for the subdivisions of the geological record

bears witness to the rapid growth of geology. It is a patch-work in

which no system nor language has been adhered to, but where the

influences by which the progress of the science has been moulded may be

distinctly traced. Some of the earliest names are lithological, and

remind us of the fact that mineralogy and petrography preceded geology

in the order of birth--Chalk, Oolite, Greensand, Millstone Grit. Others

are topographical, and often recall the labours of the early geologists

of England--London Clay, Oxford Clay, Purbeck, Portland, Kimmeridge

beds. Others are taken from local English provincial names, and remind

us of the debt we owe to William Smith, by whom so many of them were

first used--Lias, Gault, Crag, Cornbrash. Others of later date recognize

an order of superposition as already established among formations--Old

Red Sandstone, New Red Sandstone. By common consent it is admitted that

names taken from the region where a formation or group of rocks is

typically developed are best adapted for general use. Cambrian,

Silurian, Devonian, Permian, Jurassic are of this class, and have been

adopted all over the globe.

But whatever be the name chosen to designate a particular group of

strata, it soon comes to be used as a chronological or homotaxial term,

apart altogether from the stratigraphical character of the strata to

which it is applied. Thus we speak of the Chalk or Cretaceous system,

and embrace under that term formations which may contain no chalk; and

we may describe as Silurian a series of strata utterly unlike in

lithological characters to the formations in the typical Silurian

country. In using these terms we unconsciously allow the idea of

relative date to arise prominently before us. Hence such a word as

"chalk" or "cretaceous" does not suggest so much to us the group of

strata so called as the interval of geological history which these

strata represent. We speak of the Cretaceous, Jurassic, and Cambrian

periods, and of the Cretaceous fauna, the Jurassic flora, the Cambrian

trilobites, as if these adjectives denoted simply epochs of geological

time.

The stratified formations of the earth's crust, or geological record,

are classified into five main divisions, which in their order of

antiquity are as follows: (1) Archean or Pre-Cambrian, called also

sometimes Azoic (lifeless) or Eozoic (dawn of life); (2) Palaeozoic

(ancient life) or Primary; (3) Mesozoic (middle life) or Secondary; (4)

Cainozoic (recent life) or Tertiary; (5) Quaternary or Post-Tertiary.

These divisions are further ranged into systems, formations, groups or

stages, assises and zones. Accounts of the various subdivisions named

are given in separate articles under their own headings. In order,

however, that the sequence of the formations and their parallelism in

Europe and North America may be presented together a stratigraphical

table is given on next page.

PART VIII.--PHYSIOGRAPHICAL GEOLOGY

This department of geological inquiry investigates the origin and

history of the present topographical features of the land. As these

features must obviously be related to those of earlier time which are

recorded in the rocks of the earth's crust, they cannot be

satisfactorily studied until at least the main outlines of the history

of these rocks have been traced. Hence physiographical research comes

appropriately after the other branches of the science have been

considered.

From the stratigraphy of the terrestrial crust we learn that by far the

largest part of the area of dry land is built up of marine formations;

and therefore that the present land is not an aboriginal portion of the

earth's surface, but has been overspread by the sea in which its rocks

were mainly accumulated. We further discover that this submergence of

the land did not happen once only, but again and again in past ages and

in all parts of the world. Yet although the terrestrial areas varied

much from age to age in their extent and in their distribution, being at

one time more continental, at another more insular, there is reason to

believe that these successive diminutions and expansions have on the

whole been effected within, or not far outside, the limits of the

existing continents. There is no evidence that any portion of the

present land ever lay under the deeper parts of the ocean. The abysmal

deposits of the ocean-floor have no true representatives among the

sedimentary formations anywhere visible on the land. Nor, on the other

hand, can it be shown that any part of the existing ocean abysses ever

rose above sea-level into dry land. Hence geologists have drawn the

inference that the ocean basins have probably been always where they now

are; and that although the continental areas have often been narrowed by

submergence and by denudation, there has probably seldom or never been a

complete disappearance of land. The fact that the sedimentary formations

of each successive geological period consist to so large an extent of

mechanically formed terrigenous detritus, affords good evidence of the

coexistence of tracts of land as well as of extensive denudation.

_The Geological Record or Order of Succession of the Stratified

Formations of the Earth's Crust._

+---+---+-------------------------------------------+----------------------------------+

| | | Europe. | North America. |

+---+---+-------------------------------------------+----------------------------------+

| Q | \ Historic, up to the present time. | Similar to the European |

| u | \ Prehistoric, comprising deposits of | development, but with scantier |

| a | \ the Iron, Bronze, and later | traces of the presence of man. |

| t | \ Stone Ages. | |

| e | \ Neolithic--alluvium, peat, lake- | |

| r | Recent, \ dwellings, loess, &c. | |

| n | Post- | Palaeolithic--river-gravels, cave- | |

| a | glacial | deposits, &c. | |

| r | or | | |

| y | Human. | | |

| | | | |

| o | | | |

| r +---------+-------------------------------------+----------------------------------+

| | Pleist- | Older Loess and valley-gravels; | As in Europe, it is hardly |

| P | ocene | cave-deposits. | possible to assign a definite |

| o | or | Strand-lines or raised beaches; | chronological place to each of |

| s | Glacial.| youngest moraines. | the various deposits of this |

| t | | Upper Boulder-clays; eskers; marine | period, terrestrial and marine.|

| | | | sands and clays. | They generally resemble the |

| T | | Interglacial deposits. | European series. The |

| e | | Lower boulder-clay or Till, with | characteristic marine, |

| r | | striated rock-surfaces below. | fluviatile and lacustrine |

| t | | | terraces, which overlie the |

| i | / | older drifts, have been |

| a | / | classed as the Champlain Group.|

| r | / | |

| y | / | |

| . | / | |

+---+---+-------------------------------------------+----------------------------------+

| | P | Newer:--English Forest-Bed Group; Red and | On the Atlantic border |

| | l | Norwich Crag; Amstelian and Scaldesian | represented by the marine |

| | i | groups of Belgium and Holland; Sicilian | Floridian series; in the |

| | o | and Astian of France and Italy. | interior by a subaerial and |

| | c | Older:--English Coralline Crag; Diestian | lacustrine series; and on the |

| | e | of Belgium; Plaisancian of southern | Pacific border by the thick |

| | n | France and Italy. | marine series of San Francisco.|

| | e | | |

| | . | | |

| +---+-------------------------------------------+----------------------------------+

| | M | Wanting in Britain; well developed in | Represented in the Eastern States|

| | i | France, S. E. Europe and Italy; | by a marine series (Yorktown or|

| C | o | divisible into the following groups in | Chesapeake, Chipola and |

| a | c | descending order: (1) Pontian; (2) | Chattahoochee groups), and in |

| i | e | Sarmatian; (3) Tortonian; (4) Helvetian;| the interior by the lacustrine |

| n | n | (5) Langhian (Burdigalian). | Loup Fork (Nebraska), Deep |

| o | e | | River, and John Day groups. |

| z | . | | |

| o +---+-------------------------------------------+----------------------------------+

| i | | In Britain the "fluvio-marine series" of | On the Atlantic border no |

| c | O | the Isle of Wight; also the volcanic | equivalents have been |

| | l | plateaux of Antrim and Inner Hebrides | satisfactorily recognised, but |

| o | i | and those of the Faeroe Isles and | on the Pacific side there are |

| r | g | Iceland. In continental Europe the | marine deposits in N. W. |

| | o | following subdivisions have been | Oregon, which may represent |

| T | c | established in descending order: (1) | this division. In the interior |

| e | e | Aquitanian, (2) Stampian (Rupelian), | the equivalent is believed to |

| r | n | (3) Tongrain (Sannoisian). | be the fresh-water White River |

| t | e | | series, including (1) |

| i | . | | _Protoceras_ beds, (2) |

| a | | | _Oreodon_ beds, and (3) |

| r | | | _Titanothervum_ beds. |

| y +---+-------------------------------------------+----------------------------------+

| . | | Barton sands and clays; Ludian series of | Woodstock and Aquia Creek groups |

| | | France. | of Potomac River; Vicksburg, |

| | | Bracklesham Beds; Lutetian (Calcaire | Jackson, Claiborne, Buhrstone, |

| | E | grossier and Caillasses) of Paris | and Lignitic groups of |

| | o | basin. | Mississippi. |

| | c | London clay, Woolwich and Reading Beds; | In the interior a thick series of|

| | e | Thanet sands; Ypresian or Londinian of | fresh-water formations, |

| | n | N. France and Belgium; Sparnacian and | comprising, in descending |

| | e | Thanetian groups. | order, the Uinta, Bridger, |

| | . | | Wind River, Wasatch, Torrejon, |

| | | | and Puerco groups. |

| | | | On the Pacific side the marine |

| | | | Tejon series of Oregon and |

| | | | California. |

|---+---+-------------------------------------------+----------------------------------|

| | | Upper | On the Atlantic border both |

| | | ===== | marine strata and others |

| | | Danian--wanting in Britain; uppermost | containing a terrestrial flora |

| | | limestone of Denmark. | represent the Cretaceous series|

| | | Senonian--Upper Chalk with Flints of | of formations. |

| | | England; Aturian and Emscherian stages | In the interior there is also a |

| | | on the European continent. | commingling of marine with |

| | | Turonian--Middle Chalk with few flints, | lacustrine deposits. At the top|

| | | and comprising the Angoumian and stages.| lies the Laramie or Lignitic |

| | C | Cenomanian--Lower Chalk and Chalk Marl. | series with an abundant |

| | r | | terrestrial flora, passing down|

| | e | Lower | into the lacustrine and |

| | t | ===== | brackish-water Montana series. |

| | a | Albian--Upper Greensand and Gault. | Of older date, the Colorado |

| | c | Aptian--Lower Greensand; Marls and | series contains an abundant |

| | e | limestones of Provence, &c. | marine fauna, yet includes also|

| | o | Urgonian (Barremian)--Atherfield clay; | some Niobrara marls and |

| | u | massive Hippurite limestones of | limestones are likewise of |

| | s | southern France. | marine origin, but the lower |

| | . | Neocomian--Weald clay and Hastings sand; | members of the series (Benton |

| | | Hauterivian and Valanginian sub-stages | and Dakota) show another great |

| | | of Switzerland and France. | representation of fresh-water |

| M | | | sedimentation with lignites and|

| e | | | coals. |

| s | | | In California a vast succession |

| o | | | of marine deposits (Shasta- |

| z | | | Chico) represents the |

| o | | | Cretaceous system; and in |

| i | | | western British N. America |

| c | | | coal-seams also occur. |

| +---+-------------------------------------------+----------------------------------+

| o | | Purbeckian--Purbeck beds; Munder Mergel; | Representatives of the Middle and|

| r | | largely present in Westphalia. | lower Jurassic formations have |

| | | Portlandian--Portland group of England, | been found in California and |

| S | | represented in S. France by the thick | Oregon, and farther north among|

| e | | Tithonian limestones. | the Arctic islands. |

| c | | Kimmeridgian--Kimmeridge Clay of England; | Strata containing Lower Jurassic |

| o | | Virgulian and Pterocerian groups of N. | marine fossils appear in |

| n | J | France; represented by thick limestones | Wyoming and Dakota; and above |

| d | u | in the Mediterranean basin. | them come the _Atlantosaurus_ |

| a | r | Corallian--Coral Rag, Coralline Oolite; | and _Baptanodon_ beds, which |

| r | a | Sequanian stages of the Continent, | have yielded so large a |

| y | s | comprising the sub-stages of Astartian | variety of deinosaurs and other|

| . | s | and Rauracian. | vertebrates, and especially the|

| | i | Oxfordian--Oxford Clay; Axgovian and | remains of a number of genera |

| | c | Neuvizyan stages. | of small mammals. |

| | . | Callovian--Kellaways Rock, Divesian | |

| | | sub-stage of N. France. | |

| | | Bathonian--series of English strata from | |

| | | Cornbrash down to Fuller's Earth. | |

| | | Bajocian--Inferior Oolite of England. | |

| | | Lassic--divisible into (1) Upper Lias | |

| | | or Toarcian, (2) Middle Lias, Marlstone | |

| | | or Charmouthian, (3) Lower Lias of | |

| | | Sinemurian and Hettangian. | |

| +---+-------------------------------------------+----------------------------------+

| | | In Germany and western Europe this | In New York, Connecticut, New |

| | T | division represents the deposits of | Brunswick, and Nova Scotia |

| | r | inland seas or lagoons, and is divisible| a series of red sandstone |

| | i | into the following stages in descending | (Newark series) contains land- |

| | a | order: (1) Rhaetic, (2) Keuper, (3) | plants and labyrinthodonts |

| | s | Muschelkalk, (4) Bunter. In the | like the lagoon type of central|

| | s | eastern Alps and the Mediterranean | and western Europe. On the |

| | i | basin the contemporaneous sedimentary | Pacific slope, however, marine |

| | c | formations are those of open clear | equivalents occur, representing|

| | . | sea, in which a thickness of many | the pelagic type of south- |

| | | thousand feet of strata was accumulated.| eastern Europe. |

+---+---+-------------------------------------------+----------------------------------+

| | P | Thuringian--Zechstein, Magnesian | To this division of the geologi- |

| | e | Limestone; named from its development | cal record the Upper Barren |

| | r | in Thuringia; well represented | Measures of the coal-fields of |

| | m | also in Saxony, Bavaria and Bohemia. | Pennsylvania, Prince Edward |

| | i | Saxonian--Rothliegendes Group; Red | Island, Nova Scotia and |

| | a | Sandstones, &c. | New Brunswick have been |

| | n | Autunian--where the strata present the | assigned. |

| | . | lagoon facies, well displayed at Autun | Farther south in Kansas, Texas, |

| | | in France; where the marine type is | and Nebraska the representa- |

| | | predominant, as in Russia, the group | tives of the division have an |

| | | has been termed Artinskian. | abundant marine fauna. |

| +---+-------------------------------------------+----------------------------------+

| | C | Stephanian or Uralian--represented in | Upper productive Coal-measures. |

| | a | Russia by marine formations, and in | Lower Barren measures. |

| | r | central and western Europe by numerous | Lower productive Coal-measures. |

| | b | small basins containing a peculiar | Pottsville conglomerate. |

| | o | flora and in some places a great variety| Mauch Chunk shales; limestones |

| | n | of insects. | of Chester, St Louis, &c. |

| | i | Westphalian or Moscovian--Coal-measures, | Pocono series; Kinderhook |

| | f | Millstone Grit. | limestone. |

| | e | Culm or Dinantian--Carboniferous Limestone| |

| | r | and Calciferous Sandstone series. | |

| | o | | |

| | u | | |

| | s | | |

| | . | | |

| +---+-------------------------------------------+----------------------------------+

| | Devonian and Old Red Sandstone. |

| P +----------------------+------------------------+----------------------------------+

| a | Devonian type. | Old Red Sandstone | |

| l | | type. | |

| a +----------------------+------------------------+ / Catskill red sandstone; Old |

| e | / Famennian. | Yellow and red | | Red Sandstone type: the |

| o | Upper < | sandstone with |< strata below show the |

| z | \ Frasnian. | _Holoptychius_, | | Devonian type. |

| o | | _Bothriolepis_,&c. | | Chemung Group. |

| i | | | \ Genesee " |

| c | | | |

| | / Givetian. | Caithness Flagstones | |

| o | Middle < | with _Osteolepus_, | / Hamilton Group. |

| r | \ Eifelian. | _Dipterus_, | \ Marcellus " |

| | | _Homosteus_, &c. | |

| P | | | |

| r | | Red and purple | / Corniferous Limestone. / Upper |

| i | /Coblentizian.| sandstones and | | | Held- |

| m | Lower < | conglomerates with |< Onondaga Limestone. < erberg|

| a | \Gedinnian. | _Cephalaspis_, | | \ Group.|

| r | | _Pteraspis_, &c. | \ Oriskany Sandstone. |

| y +---+------------------+------------------------+----------------------------------+

| . | | | / Lower Helderberg Group. |

| | S | / Ludlow Group. | | Water-Lime. |

| | i | Upper < Wenlock " | < Niagara Shale and Limestone. |

| | l | \ Llandovery" | | Clinton Group. |

| | u | | \ Medina " |

| | r | | |

| | i | | / Cincinnati Group. |

| | a | Lower / Caradoc or Bala Group. | | Utica " |

| | n | (Ordovician) < Llandeilo " | < Trenton " |

| | . | \ Arenig " | | Chazy " |

| | | | \ Calciferous " |

| +---+-------------------------------------------+----------------------------------+

| | C | Upper or _Olenus_ series--Tremadoc | Upper or Potsdam series with |

| | a | slates and _Lingula_ Flags. | _Olenus_ and _Dicelocephalus_ |

| | m | Middle or _Pardoxides_ series--Menevian | fauna. |

| | b | Group. | Middle or Acadian series with |

| | r | Lower or _Olenellus_ series--Llanberis | _Paradoxides_ fauna. |

| | i | and Harlech Group, and _Olenellus_- | Lower or Georgian series with |

| | a | zone. | _Olenellus_ fauna. |

| | n | | |

| | . | | |

+---+---+-------------------------------------------+----------------------------------+

| | | Archean, Pre-Cambrian, Eozoic. |

+---+---+-------------------------------------------+----------------------------------+

| | | In Scotland, underneath the Cambrian | In Canada and the Lake Superior |

| | | Olenellus group, lies unconformably | region of the United States |

| | | a mass of red sandstone and con- | a vast succession of rocks of |

| | | glomerate (Torridonian) 8000 or 10,000 | Pre-Cambrian age has been |

| | | ft. thick, which rests with a strong | grouped into the following |

| | | gneisses and schists (Lewisian). A | subdivisions in descending |

| | | thick series of slates and phyllites | order: (1) Keweenwan, lying |

| | | lies below the oldest Palaeozoic rocks | unconformably on (2) Animikie, |

| | | in central Europe, with coarse | separated by a strong |

| | | gneisses below. | unconformability from (3) Upper|

| | | | Huronian, (4) Lower Huronian |

| | | | with an unconformable base, (5)|

| | | | Goutchiching, (6) Laurentian. |

| | | | In the eastern part of Canada, |

| | | | Newfoundland, &c., and also in |

| | | | Montana, sedimentary formations|

| | | | of great thickness below the |

| | | | lowest Cambrian zone have been |

| | | | found to contain some obscure |

| | | | organisms. |

+---+---+-------------------------------------------+----------------------------------+

From these general considerations we proceed to inquire how the existing

topographical features of the land arose. Obviously the co-operation of

the two great geological agencies of hypogene and epigene energy, which

have been at work from the beginning of our globe's decipherable

history, must have been the cause to which these features are to be

assigned; and the task of the geologist is to ascertain, if possible,

the part that has been taken by each. There is a natural tendency to see

in a stupendous piece of scenery, such as a deep ravine, a range of

hills, a line of precipice or a chain of mountains, evidence only of

subterranean convulsion; and before the subject was taken up as a matter

of strict scientific induction, an appeal to former cataclysms was

considered a sufficient solution of the problems presented by such

features of landscape. The rise of the modern Huttonian school, however,

led to a more careful examination of these problems. The important share

taken by erosion in the determination of the present features of

landscape was then recognized, while a fuller appreciation of the

relative parts played by the hypogene and epigene causes has gradually

been reached.

1. The study of the progress of denudation at the present time has led

to the conclusion that even if the rate of waste were not more rapid

than it is to-day, it would yet suffice in a comparatively brief

geological period to reduce the dry land to below the sea-level. But not

only would the area of the land be diminished by denudation, it could

hardly fail to be more or less involved in those widespread movements of

subsidence, during which the thick sedimentary formations of the crust

appear to have been accumulated. It is thus manifest that there must

have been from time to time during the history of our globe upward

movements of the crust, whereby the balance between land and sea was

redressed. Proofs of such movements have been abundantly preserved among

the stratified formations. We there learn that the uplifts have usually

followed each other at long intervals between which subsidence

prevailed, and thus that there has been a prolonged oscillation of the

crust over the great continental areas of the earth's surface.

An examination of that surface leads to the recognition of two great

types of upheaval. In the one, the sea-floor, with all its thick

accumulations of sediment, has been carried upwards, sometimes for

several thousand feet, so equably that the strata retain their original

flatness with hardly any sensible disturbance for hundreds of square

miles. In the other type the solid crust has been plicated, corrugated

and dislocated, especially along particular lines, and has attained its

most stupendous disruption in lofty chains of mountains. Between these

two phases of uplift many intermediate stages have been developed,

according to the direction and intensity of the subterranean force and

the varying nature and disposition of the rocks Of the crust.

(a) Where the uplift has extended over wide spaces, without appreciable

deformation of the crust, the flat strata have given rise to low plains,

or if the amount of uprise has been great enough, to high plains,

plateaux or tablelands. The plains of Russia, for example, lie for the

most part on such tracts of equably uplifted strata. The great plains of

the western interior of the United States form a great plateau or

tableland, 5000 or 6000 ft. above the sea, and many thousands of square

miles in extent, on which the Rocky Mountains have been ridged up.

(b) It is in a great mountain-chain that the complicated structures

developed during disturbances of the earth's crust can best be studied

(see Parts IV. and V. of this article), and where the influence of these

structures on the topography of the surface is most effectively

displayed. Such a chain may be the result of one colossal disturbance;

but those of high geological antiquity usually furnish proofs of

successive uplifts with more or less intervening denudation. Formed

along lines of continental displacement in the crust, they have again

and again given relief from the strain of compression by fresh

crumpling, fracture and uprise. The chief guide in tracing these

successive stages of growth is supplied by unconformability. If, for

example, a mountain-range consists of upraised Silurian rocks, upon the

upturned and denuded edges of which the Carboniferous Limestone lies

transgressively, it is clear that its original upheaval must have taken

place in the period of geological time represented by the interval

between the Silurian and the Carboniferous Limestone formations. If, as

the range is followed along its course, the Carboniferous Limestone is

found to be also highly inclined and covered unconformably by the Upper

Coal-measures, a second uplift of that portion of the ground can be

proved to have taken place between the time of the Limestone and that of

the Upper Coal-measures. By this simple and obvious kind of evidence the

relative ages of different mountain-chains may be compared. In most

great chains, however, the rocks have been so intensely crumpled, and

even inverted, that much labour may be required before their true

relations can be determined.

The Alps furnish an instructive example of the long series of

revolutions through which a great mountain-system may have passed before

reaching its present development. The first beginnings of the chain may

have been upraised before the oldest Palaeozoic formations were laid

down. There are at least traces of land and shore-lines in the

Carboniferous period. Subsequent submergences and uplifts appear to have

occurred during the Mesozoic periods. There is evidence that thereafter

the whole region sank deep under the sea, in which the older Tertiary

sediments were accumulated, and which seems to have spread right across

the heart of the Old World. But after the deposition of the Eocene

formations came the gigantic disruptions whereby all the rocks of the

Alpine region were folded over each other, crushed, corrugated,

fractured and displaced, some of their older portions, including the

fundamental gneisses and schists, being squeezed up, torn off, and

pushed horizontally for many miles over the younger rocks. But this

upheaval, though the most momentous, was not the last which the chain

has undergone, for at a later epoch in Tertiary time renewed disturbance

gave rise to a further series of ruptures and plications. The chain thus

successively upheaved has been continuously exposed to denudation and

has consequently lost much of its original height. That it has been left

in a state of instability is indicated by the frequent earthquakes of

the Alpine region, which doubtless arise from the sudden snapping of

rocks under intense strain.

A distinct type of mountain due to direct hypogene action is to be seen

in a volcano. It has been already pointed out (Part IV. sect. 1) that at

the vents which maintain a communication between the molten magma of the

earth's interior and the surface, eruptions take place whereby

quantities of lava and fragmentary materials are heaped round each

orifice of discharge. A typical volcanic mountain takes the form of a

perfect cone, but as it grows in size and its main vent is choked, while

the sides of the cone are unable to withstand the force of the

explosions or the pressure of the ascending column of lava, eruptions

take place laterally, and numerous parasitic cones arise on the flanks

of the parent mountain. Where lava flows out from long fissures, it may

pile up vast sheets of rock, and bury the surrounding country under

several thousand feet of solid stone, covering many hundreds of square

miles. In this way volcanic tablelands have been formed which, attacked

by the denuding forces, are gradually trenched by valleys and ravines,

until the original level surface of the lava-field may be almost or

wholly lost. As striking examples of this physiographical type reference

may be made to the plateau of Abyssinia, the Ghats of India, the

plateaux of Antrim, the Inner Hebrides and Iceland, and the great

lava-plains of the western territories of the United States.

2. But while the subterranean movements have upraised portions of the

surface of the lithosphere above the level of the ocean, and have thus

been instrumental in producing the existing tracts of land, the detailed

topographical features of a landscape are not solely, nor in general

even chiefly, attributable to these movements. From the time that any

portion of the sea-floor appears above sea-level, it undergoes erosion

by the various epigene agents. Each climate and geological region has

its own development of these agents, which include air, aridity, rapid

and frequent alternations of wetness and dryness or of heat and cold,

rain, springs, frosts, rivers, glaciers, the sea, plant and animal life.

In a dry climate subject to great extremes of temperature the character

and rate of decay will differ from those of a moist or an arctic

climate. But it must be remembered that, however much they may vary in

activity and in the results which they effect, the epigene forces work

without intermission, while the hypogene forces bring about the upheaval

of land only after long intervals. Hence, trifling as the results during

a human life may appear, if we realize the multiplying influence of time

we are led to perceive that the apparently feeble superficial agents

can, in the course of ages, achieve stupendous transformations in the

aspect of the land. If this efficacy may be deduced from what can be

seen to be in progress now, it may not less convincingly be shown, from

the nature of the sedimentary rocks of the earth's crust, to have been

in progress from the early beginnings of geological history. Side by

side with the various upheavals and subsidences, there has been a

continuous removal of materials from the land, and an equally persistent

deposit of these materials under water, with the consequent growth of

new rocks. Denudation has been aptly compared to a process of

sculpturing wherein, while each of the implements employed by nature,

like a special kind of graving tool, produces its own characteristic

impress on the land, they all combine harmoniously towards the

achievement of their one common task. Hence the present contours of the

land depend partly on the original configuration of the ground, and the

influence it may have had in guiding the operations of the erosive

agents, partly on the vigour with which these agents perform their work,

and partly on the varying structure and powers of resistance possessed

by the rocks on which the erosion is carried on.

Where a new tract of land has been raised out of the sea by such an

energetic movement as broke up the crust and produced the complicated

structure and tumultuous external forms of a great mountain chain, the

influence of the hypogene forces on the topography attains its highest

development. But even the youngest existing chain has suffered so

greatly from denudation that the aspect which it presented at the time

of its uplift can only be dimly perceived. No more striking illustration

of this feature can be found than that supplied by the Alps, nor one

where the geotectonic structures have been so fully studied in detail.

On the outer flanks of these mountains the longitudinal ridges and

valleys of the Jura correspond with lines of anticline and syncline. Yet

though the dominant topographical elements of the region have obviously

been produced by the plication of the stratified formations, each ridge

has suffered so large an amount of erosion that the younger rocks have

been removed from its crest where the older members of the series are

now exposed to view, while on every slope proofs may be seen of

extensive denudation. If from these long wave-like undulations of the

ground, where the relations between the disposition of the rocks below

and the forms of the surface are so clearly traceable, the observer

proceeds inwards to the main chain, he finds that the plications and

displacements of the various formations assume an increasingly

complicated character; and that although proofs of great denudation

continue to abound, it becomes increasingly difficult to form any

satisfactory conjecture as to the shape of the ground when the upheaval

ended or any reliable estimate of the amount of material which has since

then been removed. Along the central heights the mountains lift

themselves towards the sky like the storm-swept crests of vast

earth-billows. The whole aspect of the ground suggests intense

commotion, and the impression thus given is often much intensified by

the twisted and crumpled strata, visible from a long distance, on the

crags and crests. On this broken-up surface the various agents of

denudation have been ceaselessly engaged since it emerged from the sea.

They have excavated valleys, sometimes along depressions provided for

them by the subterranean disturbances, sometimes down the slopes of the

disrupted blocks of ground. So powerful has been this erosion that

valleys cut out along lines of anticline, which were natural ridges,

have sometimes become more important than those in lines of syncline,

which were structurally depressions. The same subaerial forces have

eroded lake-basins, dug out corries or cirques, notched the ridges,

splintered the crests and furrowed the slopes, leaving no part of the

original surface of the uplifted chain unmodified.

It has often been noted with surprise that features of underground

structure which, it might have been confidently anticipated, should have

exercised a marked influence on the topography of the surface have not

been able to resist the levelling action of the denuding agents, and do

not now affect the surface at all. This result is conspicuously seen in

coal-fields where the strata are abundantly traversed by faults. These

dislocations, having sometimes a displacement of several hundred feet,

might have been expected to break up the surface into a network of

cliffs and plains; yet in general they do not modify the level character

of the ground above. One of the most remarkable faults in Europe is the

great thrust which bounds the southern edge of the Belgian coal-field

and brings the Devonian rocks above the Coal-measures. It can be traced

across Belgium into the Boulonnais, and may not improbably run beneath

the Secondary and Tertiary rocks of the south of England. It is crossed

by the valleys of the Meuse and other northerly-flowing streams. Yet so

indistinctly is it marked in the Meuse valley that no one would suspect

its existence from any peculiarity in the general form of the ground,

and even an experienced geologist, until he had learned the structure of

the district, would scarcely detect any fault at all.

Where faults have influenced the superficial topography, it is usually

by giving rise to a hollow along which the subaerial agents and

especially running water can act effectively. Such a hollow may be

eventually widened and deepened into a valley. On bare crags and crests,

lines of fault are apt to be marked by notches or clefts, and they thus

help to produce the pinnacles and serrated outlines of these exposed

uplands.

It was cogently enforced by Hutton and Playfair, and independently by

Lamarck, that no co-operation of underground agency is needed to produce

such topography as may be seen in a great part of the world, but that if

a tract of sea-floor were upraised into a wide plain, the fall of rain

and the circulation of water over its surface would in the end carve out

such a system of hills and valleys as may be seen on the dry land now.

No such plain would be a dead-level. It would have inequalities on its

surface which would serve as channels to guide the drainage from the

first showers of rain. And these channels would be slowly widened and

deepened until they would become ravines and valleys, while the ground

between them would be left projecting as ridges and hills. Nor would the

erosion of such a system of water-courses require a long series of

geological periods for its accomplishment. From measurements and

estimates of the amount of erosion now taking place in the basin of the

Mississippi river it has been computed that valleys 800 ft. deep might

be carved out in less than a million years. In the vast tablelands of

Colorado and other western regions of the United States an impressive

picture is presented of the results of mere subaerial erosion on

undisturbed and nearly level strata. Systems of stream-courses and

valleys, river gorges unexampled elsewhere in the world for depth and

length, vast winding lines of escarpment, like ranges of sea-cliffs,

terraced slopes rising from plateau to plateau, huge buttresses and

solitary stacks standing like islands out of the plains, great

mountain-masses towering into picturesque peaks and pinnacles cleft by

innumerable gullies, yet everywhere marked by the parallel bars of the

horizontal strata out of which they have been carved--these are the

orderly symmetrical characteristics of a country where the scenery is

due entirely to the action of subaerial agents on the one hand and the

varying resistance of perfectly regular stratified rocks on the other.

The details of the sculpture of the land have mainly depended on the

nature of the materials on which nature's erosive tools have been

employed. The joints by which all rocks are traversed have been

especially serviceable as dominant lines down which the rain has

filtered, up which the springs have risen and into which the frost

wedges have been driven. On the high bare scarps of a lofty mountain the

inner structure of the mass is laid open, and there the system of joints

even more than faults is seen to have determined the lines of crest, the

vertical walls of cliff and precipice, the forms of buttress and recess,

the position of cleft and chasm, the outline of spire and pinnacle. On

the lower slopes, even under the tapestry of verdure which nature

delights to hang where she can over her naked rocks, we may detect the

same pervading influence of the joints upon the forms assumed by ravines

and crags. Each kind of stone, too, gives rise to its own characteristic

form of scenery. Massive crystalline rocks, such as granite, break up

along their joints and often decay into sand or earth along their

exposed surfaces, giving rise to rugged crags with long talus slopes at

their base. The stratified rocks besides splitting at their joints are

especially distinguished by parallel ledges, cornices and recesses,

produced by the irregular decay of their component strata, so that they

often assume curiously architectural types of scenery. But besides this

family feature they display many minor varieties of aspect according to

their lithological composition. A range of sandstone hills, for example,

presents a marked contrast to one of limestone, and a line of chalk

downs to the escarpments formed by alternating bands of harder and

softer clays and shales.

It may suffice here merely to allude to a few of the more important

parts of the topography of the land in their relation to physiographical

geology. A true mountain-chain, viewed from the geological side, is a

mass of high ground which owes its prominence to a ridging-up of the

earth's crust, and the intense plication and rupture of the rocks of

which it is composed. But ranges of hills almost mountainous in their

bulk may be formed by the gradual erosion of valleys out of a mass of

original high ground, such as a high plateau or tableland. Eminences

which have been isolated by denudation from the main mass of the

formations of which they originally formed part are known as "outliers"

or "hills of circumdenudation."

Tablelands, as already pointed out, may be produced either by the

upheaval of tracts of horizontal strata from the sea-floor into land; or

by the uprise of plains of denudation, where rocks of various

composition, structure and age have been levelled down to near or below

the level of the sea by the co-operation of the various erosive agents.

Most of the great tablelands of the globe are platforms of

little-disturbed strata which have been upraised bodily to a

considerable elevation. No sooner, however, are they placed in that

position than they are attacked by running water, and begin to be

hollowed out into systems of valleys. As the valleys sink, the platforms

between them grow into narrower and more definite ridges, until

eventually the level tableland is converted into a complicated network

of hills and valleys, wherein, nevertheless, the key to the whole

arrangement is furnished by a knowledge of the disposition and effects

of the flow of water. The examples of this process brought to light in

Colorado, Wyoming, Nevada and the other western regions by Newberry,

King, Hayden, Powell and other explorers, are among the most striking

monuments of geological operations in the world.

Examples of ancient and much decayed tablelands formed by the denudation

of much disturbed rocks are furnished by the Highlands of Scotland and

of Norway. Each of these tracts of high ground consists of some of the

oldest and most dislocated formations of Europe, which at a remote

period were worn down into a plain, and in that condition may have lain

long submerged under the sea and may possibly have been overspread there

with younger formations. Having at a much later time been raised several

thousand feet above sea-level the ancient platforms of Britain and

Scandinavia have been since exposed to denudation, whereby each of them

has been so deeply channeled into glens and fjords that it presents

to-day a surface of rugged hills, either isolated or connected along the

flanks, while only fragments of the general surface of the tableland can

here and there be recognized amidst the general destruction.

Valleys have in general been hollowed out by the greater erosive action

of running water along the channels of drainage. Their direction has

been probably determined in the great majority of cases by

irregularities of the surface along which the drainage flowed on the

first emergence of the land. Sometimes these irregularities have been

produced by folds of the terrestrial crust, sometimes by faults,

sometimes by the irregularities on the surface of an uplifted platform

of deposition or of denudation. Two dominant trends may be observed

among them. Some are longitudinal and run along the line of flexures in

the upraised tract of land, others are transverse where the drainage has

flowed down the slopes of the ridges into the longitudinal valleys or

into the sea. The forms of valleys have been governed partly by the

structure and composition of the rocks, and partly by the relative

potency of the different denuding agents. Where the influence of rain

and frost has been slight, and the streams, supplied from distant

sources, have had sufficient declivity, deep, narrow, precipitous

ravines or gorges have been excavated. The canyons of the arid region of

the Colorado are a magnificent example of this result. Where, on the

other hand, ordinary atmospheric action has been more rapid, the sides

of the river channels have been attacked, and open sloping glens and

valleys have been hollowed out. A gorge or defile is usually due to the

action of a waterfall, which, beginning with some abrupt declivity or

precipice in the course of the river when it first commenced to flow, or

caused by some hard rock crossing the channel, has eaten its way

backward.

Lakes have been already referred to, and their modes of origin have been

mentioned. As they are continually being filled up with the detritus

washed into them from the surrounding regions they cannot be of any

great geological antiquity, unless where by some unknown process their

basins are from time to time widened and deepened.

In the general subaerial denudation of a country, innumerable minor

features are worked out as the structure of the rocks controls the

operations of the eroding agents. Thus, among comparatively undisturbed

strata, a hard bed resting upon others of a softer kind is apt to form

along its outcrop a line of cliff or escarpment. Though a long range of

such cliffs resembles a coast that has been worn by the sea, it may be

entirely due to mere atmospheric waste. Again, the more resisting

portions of a rock may be seen projecting as crags or knolls. An igneous

mass will stand out as a bold hill from amidst the more decomposable

strata through which it has risen. These features, often so marked on

the lower grounds, attain their most conspicuous development among the

higher and barer parts of the mountains, where subaerial disintegration

is most rapid. The torrents tear out deep gullies from the sides of the

declivities. Corries or cirques are scooped out on the one hand and

naked precipices are left on the other. The harder bands of rock project

as massive ribs down the slopes, shoot up into prominent _aiguilles_, or

help to give to the summits the notched saw-like outlines they so often

present.

The materials worn from the surface of the higher are spread out over

the lower grounds. The streams as they descend begin to drop their

freight of sediment when, by the lessening of their declivity, their

carrying power is diminished. The great plains of the earth's surface

are due to this deposit of gravel, sand and loam. They are thus

monuments at once of the destructive and reproductive processes which

have been in progress unceasingly since the first land rose above the

sea and the first shower of rain fell. Every pebble and particle of

their soil, once part of the distant mountains, has travelled slowly and

fitfully to lower levels. Again and again have these materials been

shifted, ever moving downward and sea-ward. For centuries, perhaps, they

have taken their share in the fertility of the plains and have

ministered to the nurture of flower and tree, of the bird of the air,

the beast of the field and of man himself. But their destiny is still

the great ocean. In that bourne alone can they find undisturbed repose,

and there, slowly accumulating in massive beds, they will remain until,

in the course of ages, renewed upheaval shall raise them into future

land, there once more to pass through the same cycle of change. (A. Ge.)

LITERATURE.--_Historical_: The standard work is Karl A. von Zittel's

_Geschichte der Geologie und Palaontologie_ (1899), of which there is

an abbreviated, but still valuable, English translation; D'Archiac,

_Histoire des progres de la geologie_, deals especially with the

period 1834-1850; Keferstein, _Geschichte und Literatur der

Geognosie_, gives a summary up to 1840; while Sir A. Geikie's

_Founders of Geology_ (1897; 2nd ed., 1906) deals more particularly

with the period 1750-1820. General treatises: Sir Charles Lyell's

_Principles of Geology_ is a classic. Of modern English works, Sir A.

Geikie's _Text Book of Geology_ (4th ed., 1903) occupies the first

place; the work of T.C. Chamberlin and R.D. Salisbury, _Geology; Earth

History_ (3 vols., 1905-1906), is especially valuable for American

geology. A. de Lapparent's _Traite de geologie_ (5th ed., 1906), is

the standard French work. H. Credner's _Elemente der Geologie_ has

gone through several editions in Germany. Dynamical and

physiographical geology are elaborately treated by E. Suess, _Das

Antlitz der Erde_, translated into English, with the title _The Face

of the Earth_. The practical study of the science is treated of by F.

von Richthofen, _Fuhrer fur Forschungsreisende_ (1886); G.A. Cole,

_Aids in Practical Geology_ (5th ed., 1906); A. Geikie, _Outlines of

Field Geology_ (5th ed., 1900). The practical applications of Geology

are discussed by J.V. Elsden, _Applied Geology_ (1898-1899). The

relations of Geology to scenery are dealt with by Sir A. Geikie,

_Scenery of Scotland_ (3rd ed., 1901); J.E. Marr, _The Scientific

Study of Scenery_ (1900); Lord Avebury, _The Scenery of Switzerland_

(1896); _The Scenery of England_ (1902); and J. Geikie, _Earth

Sculpture_ (1898). A detailed bibliography is given in Sir A. Geikie's

_Text Book of Geology_. See also the separate articles on geological

subjects for special references to authorities.

FOOTNOTES:

[1] In De Luc's _Lettres physiques et morales sur les montagnes_

(1778), the word "cosmology" is used for our science, the author

stating that "geology" is more appropriate, but it "was not a word in

use." In a completed edition, published in 1779, the same statement

is made, but "geology" occurs in the text; in the same year De

Saussure used the word without any explanation, as if it were well

known.

[2] The subject of the age of the earth has also been discussed by

Professor J. Joly and Professor W.J. Sollas. The former geologist,

approaching the question from a novel point of view, has estimated

the total quantity of sodium in the water of the ocean and the

quantity of that element received annually by the ocean from the

denudation of the land. Dividing the one sum by the other, he arrives

at the result that the probable age of the earth is between 90 and

100 millions of years (_Trans. Roy. Dublin Soc._ ser. ii. vol. vii.,

1899, p. 23: _Geol. Mag._, 1900, p. 220). Professor Sollas believes

that this limit exceeds what is required for the evolution of

geological history, that the lower limit assigned by Lord Kelvin

falls short of what the facts demand, and that geological time will

probably be found to have been comprised within some indeterminate

period between these limits. (Address to Section C, _Brit. Assoc.

Report_, 1900; _Age of the Earth_, London, 1905.)

GEOMETRICAL CONTINUITY. In a report of the Institute prefixed to Jean

Victor Poncelet's _Traite des proprietes projectives des figures_

(Paris, 1822), it is said that he employed "ce qu'il appelle le principe

de continuite." The law or principle thus named by him had, he tells us,

been tacitly assumed as axiomatic by "les plus savans geometres." It had

in fact been enunciated as "lex continuationis," and "la loi de la

continuite," by Gottfried Wilhelm Leibnitz (Oxf. N.E.D.), and previously

under another name by Johann Kepler in cap. iv. 4 of his _Ad Vitellionem

paralipomena quibus astronomiae pars optica traditur_ (Francofurti,

1604). Of sections of the cone, he says, there are five species from the

"recta linea" or line-pair to the circle. From the line-pair we pass

through an infinity of hyperbolas to the parabola, and thence through an

infinity of ellipses to the circle. Related to the sections are certain

remarkable points which have no name. Kepler calls them foci. The circle

has one focus at the centre, an ellipse or hyperbola two foci

equidistant from the centre. The parabola has one focus within it, and

another, the "caecus focus," which may be imagined to be _at infinity_

on the axis _within or without the curve_. The line from it to any point

of the section is parallel to the axis. To carry out the analogy we must

speak paradoxically, and say that the line-pair likewise has foci, which

in this case coalesce as in the circle and fall upon the lines

themselves; for our geometrical terms should be subject to analogy.

Kepler dearly loves analogies, his most trusty teachers, acquainted with

all the secrets of nature, "_omnium naturae arcanorum conscios_." And

they are to be especially regarded in geometry as, by the use of

"however absurd expressions," classing extreme limiting forms with an

infinity of intermediate cases, and placing the whole essence of a thing

clearly before the eyes.

Here, then, we find formulated by Kepler the doctrine of the concurrence

of parallels at a single point at infinity and the principle of

continuity (under the name analogy) in relation to the infinitely great.

Such conceptions so strikingly propounded in a famous work could not

escape the notice of contemporary mathematicians. Henry Briggs, in a

letter to Kepler from Merton College, Oxford, dated "10 Cal. Martiis

1625," suggests improvements in the _Ad Vitellionem paralipomena_, and

gives the following construction: Draw a line CBADC, and let an ellipse,

a parabola, and a hyperbola have B and A for focus and vertex. Let CC

be the other foci of the ellipse and the hyperbola. Make AD equal to AB,

and with centres CC and radius in each case equal to CD describe

circles. Then any point of the ellipse is equidistant from the focus B

and one circle, and any point of the hyperbola from the focus B and the

other circle. Any point P of the parabola, in which the second focus is

missing or infinitely distant, is equidistant from the focus B and the

line through D which we call the directrix, this taking the place of

either circle when its centre C is at infinity, and every line CP being

then parallel to the axis. Thus Briggs, and we know not how many "savans

geometres" who have left no record, had already taken up the new

doctrine in geometry in its author's lifetime. Six years after Kepler's

death in 1630 Girard Desargues, "the Monge of his age," brought out the

first of his remarkable works founded on the same principles, a short

tract entitled _Methode universelle de mettre en perspective les objets

donnes reellement ou en devis_ (Paris, 1636); but "Le privilege etoit de

1630." (Poudra, _[OE]uvres de Des._, i. 55). Kepler as a modern geometer

is best known by his _New Stereometry of Wine Casks_ (Lincii, 1615), in

which he replaces the circuitous Archimedean method of exhaustion by a

direct "royal road" of infinitesimals, treating a vanishing arc as a

straight line and regarding a curve as made up of a succession of short

chords. Some 2000 years previously one Antipho, probably the well-known

opponent of Socrates, has regarded a circle in like manner as the

limiting form of a many-sided inscribed rectilinear figure. Antipho's

notion was rejected by the men of his day as unsound, and when

reproduced by Kepler it was again stoutly opposed as incapable of any

sort of geometrical demonstration--not altogether without reason, for it

rested on an assumed law of continuity rather than on palpable proof.

To complete the theory of continuity, the one thing needful was the idea

of imaginary points implied in the algebraical geometry of Rene

Descartes, in which equations between variables representing

co-ordinates were found often to have imaginary roots. Newton, in his

two sections on "Inventio orbium" (_Principia_ i. 4, 5), shows in his

brief way that he is familiar with the principles of modern geometry. In

two propositions he uses an auxiliary line which is supposed to cut the

conic in X and Y, but, as he remarks at the end of the second (prop.

24), it may not cut it at all. For the sake of brevity he passes on at

once with the observation that the required constructions are evident

from the case in which the line cuts the trajectory. In the scholium

appended to prop. 27, after saying that an asymptote is a tangent at

infinity, he gives an unexplained general construction for the axes of a

conic, which seems to imply that it has asymptotes. In all such cases,

having equations to his loci in the background, he may have thought of

elements of the figure as passing into the imaginary state in such

manner as not to vitiate conclusions arrived at on the hypothesis of

their reality.

Roger Joseph Boscovich, a careful student of Newton's works, has a full

and thorough discussion of geometrical continuity in the third and last

volume of his _Elementa universae matheseos_ (ed. prim. Venet, 1757),

which contains _Sectionum conicarum elementa nova quadam methodo

concinnata et dissertationem de transformatione locorum geometricorum,

ubi de continuitatis lege, et de quibusdam infiniti mysteriis_. His

first principle is that all varieties of a defined locus have the same

properties, so that what is demonstrable of one should be demonstrable

in like manner of all, although some artifice may be required to bring

out the underlying analogy between them. The opposite extremities of an

infinite straight line, he says, are to be regarded as joined, as if the

line were a circle having its centre at the infinity on either side of

it. This leads up to the idea of a _veluti plus quam infinita extensio_,

a line-circle containing, as we say, the line infinity. Change from the

real to the imaginary state is contingent upon the passage of some

element of a figure through zero or infinity and never takes place _per

saltum_. Lines being some positive and some negative, there must be

negative rectangles and negative squares, such as those of the exterior

diameters of a hyperbola. Boscovich's first principle was that of

Kepler, by whose _quantumvis absurdis locutionibus_ the boldest

applications of it are covered, as when we say with Poncelet that all

concentric circles in a plane touch one another in two imaginary fixed

points at infinity. In G.K. Ch. von Staudt's _Geometrie der Lage and

Beitrage zur G. der L._ (Nurnberg, 1847, 1856-1860) the geometry of

position, including the extension of the field of pure geometry to the

infinite and the imaginary, is presented as an independent science,

"welche des Messens nicht bedarf." (See GEOMETRY: _Projective_.)

Ocular illusions due to distance, such as Roger Bacon notices in the

_Opus majus_ (i. 126, ii. 108, 497; Oxford, 1897), lead up to or

illustrate the mathematical uses of the infinite and its reciprocal the

infinitesimal. Specious objections can, of course, be made to the

anomalies of the law of continuity, but they are inherent in the higher

geometry, which has taught us so much of the "secrets of nature."

Kepler's excursus on the "analogy" between the conic sections

hereinbefore referred to is given at length in an article on "The

Geometry of Kepler and Newton" in vol. xviii. of the _Transactions of

the Cambridge Philosophical Society_ (1900). It had been generally

overlooked, until attention was called to it by the present writer in a

note read in 1880 (_Proc. C.P.S._ iv. 14-17), and shortly afterwards in

_The Ancient and Modern Geometry of Conics, with Historical Notes and

Prolegomena_ (Cambridge 1881). (C. T.*)

GEOMETRY, the general term for the branch of mathematics which has for

its province the study of the properties of space. From experience, or

possibly intuitively, we characterize existent space by certain

fundamental qualities, termed axioms, which are insusceptible of proof;

and these axioms, in conjunction with the mathematical entities of the

point, straight line, curve, surface and solid, appropriately defined,

are the premises from which the geometer draws conclusions. The

geometrical axioms are merely conventions; on the one hand, the system

may be based upon inductions from experience, in which case the deduced

geometry may be regarded as a branch of physical science; or, on the

other hand, the system may be formed by purely logical methods, in which

case the geometry is a phase of pure mathematics. Obviously the geometry

with which we are most familiar is that of existent space--the

three-dimensional space of experience; this geometry may be termed

Euclidean, after its most famous expositor. But other geometries exist,

for it is possible to frame systems of axioms which definitely

characterize some other kind of space, and from these axioms to deduce a

series of non-contradictory propositions; such geometries are called

non-Euclidean.

It is convenient to discuss the subject-matter of geometry under the

following headings:

I. _Euclidean Geometry_: a discussion of the axioms of existent space

and of the geometrical entities, followed by a synoptical account of

Euclid's Elements.

II. _Projective Geometry_: primarily Euclidean, but differing from I. in

employing the notion of geometrical continuity (q.v.)--points and lines

at infinity.

III. _Descriptive Geometry_: the methods for representing upon planes

figures placed in space of three dimensions.

IV. _Analytical Geometry_: the representation of geometrical figures and

their relations by algebraic equations.

V. _Line Geometry_: an analytical treatment of the line regarded as the

space element.

VI. _Non-Euclidean Geometry_: a discussion of geometries other than that

of the space of experience.

VII. _Axioms of Geometry_: a critical analysis of the foundations of

geometry.

Special subjects are treated under their own headings: e.g.

PROJECTION, PERSPECTIVE; CURVE, SURFACE; CIRCLE, CONIC SECTION;

TRIANGLE, POLYGON, POLYHEDRON; there are also articles on special

curves and figures, e.g. ELLIPSE, PARABOLA, HYPERBOLA; TETRAHEDRON,

CUBE, OCTAHEDRON, DODECAHEDRON, ICOSAHEDRON; CARDIOID, CATENARY,

CISSOID, CONCHOID, CYCLOID, EPICYCLOID, LIMACON, OVAL, QUADRATRIX,

SPIRAL, &c.

_History._--The origin of geometry (Gr. [Greek: ge], earth, [Greek:

metron], a measure) is, according to Herodotus, to be found in the

etymology of the word. Its birthplace was Egypt, and it arose from the

need of surveying the lands inundated by the Nile floods. In its

infancy it therefore consisted of a few rules, very rough and

approximate, for computing the areas of triangles and quadrilaterals;

and, with the Egyptians, it proceeded no further, the geometrical

entities--the point, line, surface and solid--being only discussed in so

far as they were involved in practical affairs. The point was realized

as a mark or position, a straight line as a stretched string or the

tracing of a pole, a surface as an area; but these units were not

abstracted; and for the Egyptians geometry was only an art--an auxiliary

to surveying.[1] The first step towards its elevation to the rank of a

science was made by Thales (q.v.) of Miletus, who transplanted the

elementary Egyptian mensuration to Greece. Thales clearly abstracted the

notions of points and lines, founding the geometry of the latter unit,

and discovering _per saltum_ many propositions concerning areas, the

circle, &c. The empirical rules of the Egyptians were corrected and

developed by the Ionic School which he founded, especially by

Anaximander and Anaxagoras, and in the 6th century B.C. passed into the

care of the Pythagoreans. From this time geometry exercised a powerful

influence on Greek thought. Pythagoras (q.v.), seeking the key of the

universe in arithmetic and geometry, investigated logically the

principles underlying the known propositions; and this resulted in the

formulation of definitions, axioms and postulates which, in addition to

founding a _science_ of geometry, permitted a crystallization,

fractional, it is true, of the amorphous collection of material at hand.

Pythagorean geometry was essentially a geometry of areas and solids; its

goal was the regular solids--the tetrahedron, cube, octahedron,

dodecahedron and icosahedron--which symbolized the five elements of

Greek cosmology. The geometry of the circle, previously studied in Egypt

and much more seriously by Thales, was somewhat neglected, although this

curve was regarded as the most perfect of all plane figures and the

sphere the most perfect of all solids. The circle, however, was taken up

by the Sophists, who made most of their discoveries in attempts to solve

the classical problems of squaring the circle, doubling the cube and

trisecting an angle. These problems, besides stimulating pure geometry,

i.e. the geometry of constructions made by the ruler and compasses,

exercised considerable influence in other directions. The first problem

led to the discovery of the method of _exhaustion_ for determining

areas. Antiphon inscribed a square in a circle, and on each side an

isosceles triangle having its vertex on the circle; on the sides of the

octagon so obtained, isosceles triangles were again constructed, the

process leading to inscribed polygons of 8, 16 and 32 sides; and the

areas of these polygons, which are easily determined, are successive

approximations to the area of the circle. Bryson of Heraclea took an

important step when he circumscribed, in addition to inscribing,

polygons to a circle, but he committed an error in treating the circle

as the mean of the two polygons. The method of Antiphon, in assuming

that by continued division a polygon can be constructed coincident with

the circle, demanded that magnitudes are not infinitely divisible. Much

controversy ranged about this point; Aristotle supported the doctrine of

infinite divisibility; Zeno attempted to show its absurdity. The

mechanical tracing of loci, a principle initiated by Archytas of

Tarentum to solve the last two problems, was a frequent subject for

study, and several mechanical curves were thus discovered at subsequent

dates (cissoid, conchoid, quadratrix). Mention may be made of

Hippocrates, who, besides developing the known methods, made a study of

similar figures, and, as a consequence, of proportion. This step is

important as bringing into line discontinuous number and continuous

magnitude.

A fresh stimulus was given by the succeeding Platonists, who, accepting

in part the Pythagorean cosmology, made the study of geometry

preliminary to that of philosophy. The many discoveries made by this

school were facilitated in no small measure by the clarification of the

axioms and definitions, the logical sequence of propositions which was

adopted, and, more especially, by the formulation of the analytic

method, i.e. of assuming the truth of a proposition and then reasoning

to a known truth. The main strength of the Platonist geometers lies in

stereometry or the geometry of solids. The Pythagoreans had dealt with

the sphere and regular solids, but the pyramid, prism, cone and cylinder

were but little known until the Platonists took them in hand. Eudoxus

established their mensuration, proving the pyramid and cone to have

one-third the content of a prism and cylinder on the same base and of

the same height, and was probably the discoverer of a proof that the

volumes of spheres are as the cubes of their radii. The discussion of

sections of the cone and cylinder led to the discovery of the three

curves named the parabola, ellipse and hyperbola (see CONIC SECTION); it

is difficult to over-estimate the importance of this discovery; its

investigation marks the crowning achievement of Greek geometry, and led

in later years to the fundamental theorems and methods of modern

geometry.

The presentation of the subject-matter of geometry as a connected and

logical series of propositions, prefaced by [Greek: Horoi] or

foundations, had been attempted by many; but it is to Euclid that we owe

a complete exposition. Little indeed in the _Elements_ is probably

original except the arrangement; but in this Euclid surpassed such

predecessors as Hippocrates, Leon, pupil of Neocleides, and Theudius of

Magnesia, devising an apt logical model, although when scrutinized in

the light of modern mathematical conceptions the proofs are riddled with

fallacies. According to the commentator Proclus, the _Elements_ were

written with a twofold object, first, to introduce the novice to

geometry, and secondly, to lead him to the regular solids; conic

sections found no place therein. What Euclid did for the line and

circle, Apollonius did for the conic sections, but there we have a

discoverer as well as editor. These two works, which contain the

greatest contributions to ancient geometry, are treated in detail in

Section I. _Euclidean Geometry_ and the articles EUCLID; CONIC SECTION;

APPOLONIUS. Between Euclid and Apollonius there flourished the

illustrious Archimedes, whose geometrical discoveries are mainly

concerned with the mensuration of the circle and conic sections, and of

the sphere, cone and cylinder, and whose greatest contribution to

geometrical method is the elevation of the method of exhaustion to the

dignity of an instrument of research. Apollonius was followed by

Nicomedes, the inventor of the conchoid; Diocles, the inventor of the

cissoid; Zenodorus, the founder of the study of isoperimetrical figures;

Hipparchus, the founder of trigonometry; and Heron the elder, who wrote

after the manner of the Egyptians, and primarily directed attention to

problems of practical surveying.

Of the many isolated discoveries made by the later Alexandrian

mathematicians, those of Menelaus are of importance. He showed how to

treat spherical triangles, establishing their properties and determining

their congruence; his theorem on the products of the segments in which

the sides of a triangle are cut by a line was the foundation on which

Carnot erected his theory of transversals. These propositions, and also

those of Hipparchus, were utilized and developed by Ptolemy (q.v.), the

expositor of trigonometry and discoverer of many isolated propositions.

Mention may be made of the commentator Pappus, whose _Mathematical

Collections_ is valuable for its wealth of historical matter; of Theon,

an editor of Euclid's _Elements_ and commentator of Ptolemy's

_Almagest_; of Proclus, a commentator of Euclid; and of Eutocius, a

commentator of Apollonius and Archimedes.

The Romans, essentially practical and having no inclination to study

science _qua_ science, only had a geometry which sufficed for surveying;

and even here there were abundant inaccuracies, the empirical rules

employed being akin to those of the Egyptians and Heron. The Hindus,

likewise, gave more attention to computation, and their geometry was

either of Greek origin or in the form presented in trigonometry, more

particularly connected with arithmetic. It had no logical foundations;

each proposition stood alone; and the results were empirical. The Arabs

more closely followed the Greeks, a plan adopted as a sequel to the

translation of the works of Euclid, Apollonius, Archimedes and many

others into Arabic. Their chief contribution to geometry is exhibited in

their solution of algebraic equations by intersecting conics, a step

already taken by the Greeks in isolated cases, but only elevated into a

_method_ by Omar al Hayyami, who flourished in the 11th century. During

the middle ages little was added to Greek and Arabic geometry. Leonardo

of Pisa wrote a _Practica geometriae_ (1220), wherein Euclidean methods

are employed; but it was not until the 14th century that geometry,

generally Euclid's _Elements_, became an essential item in university

curricula. There was, however, no sign of original development, other

branches of mathematics, mainly algebra and trigonometry, exercising a

greater fascination until the 16th century, when the subject again came

into favour.

The extraordinary mathematical talent which came into being in the 16th

and 17th centuries reacted on geometry and gave rise to all those

characters which distinguish modern from ancient geometry. The first

innovation of moment was the formulation of the principle of geometrical

continuity by Kepler. The notion of infinity which it involved permitted

generalizations and systematizations hitherto unthought of (see

GEOMETRICAL CONTINUITY); and the method of indefinite division applied

to rectification, and quadrature and cubature problems avoided the

cumbrous method of exhaustion and provided more accurate results.

Further progress was made by Bonaventura Cavalieri, who, in his

_Geometria indivisibilibus continuorum_ (1620), devised a method

intermediate between that of exhaustion and the infinitesimal calculus

of Leibnitz and Newton. The logical basis of his system was corrected by

Roberval and Pascal; and their discoveries, taken in conjunction with

those of Leibnitz, Newton, and many others in the fluxional calculus,

culminated in the branch of our subject known as differential geometry

(see INFINITESIMAL CALCULUS; CURVE; SURFACE).

A second important advance followed the recognition that conics could be

regarded as projections of a circle, a conception which led at the hands

of Desargues and Pascal to modern _projective geometry_ and

_perspective_. A third, and perhaps the most important, advance attended

the application of algebra to geometry by Descartes, who thereby founded

_analytical geometry_. The new fields thus opened up were diligently

explored, but the calculus exercised the greatest attraction and

relatively little progress was made in geometry until the beginning of

the 19th century, when a new era opened.

Gaspard Monge was the first important contributor, stimulating

analytical and differential geometry and founding _descriptive geometry_

in a series of papers and especially in his lectures at the Ecole

polytechnique. Projective geometry, founded by Desargues, Pascal, Monge

and L.N.M. Carnot, was crystallized by J.V. Poncelet, the creator of the

modern methods. In his _Traite des proprietes des figures_ (1822) the

line and circular points at infinity, imaginaries, polar reciprocation,

homology, cross-ratio and projection are systematically employed. In

Germany, A.F. Mobius, J. Plucker and J. Steiner were making far-reaching

contributions. Mobius, in his _Barycentrische Calcul_ (1827), introduced

homogeneous co-ordinates, and also the powerful notion of geometrical

transformation, including the special cases of collineation and duality;

Plucker, in his _Analytisch-geometrische Entwickelungen_ (1828-1831),

and his _System der analytischen Geometrie_ (1835), introduced the

abridged notation, line and plane co-ordinates, and the conception of

generalized space elements; while Steiner, besides enriching geometry in

numerous directions, was the first to systematically generate figures by

projective pencils. We may also notice M. Chasles, whose _Apercu

historique_ (1837) is a classic. Synthetic geometry, characterized by

its fruitfulness and beauty, attracted most attention, and it so

happened that its originally weak logical foundations became replaced by

a more substantial set of axioms. These were found in the anharmonic

ratio, a device leading to the liberation of synthetic geometry from

metrical relations, and in involution, which yielded rigorous

definitions of imaginaries. These innovations were made by K.J.C. von

Staudt. Analytical geometry was stimulated by the algebra of invariants,

a subject much developed by A. Cayley, G. Salmon, S.H. Aronhold, L.O.

Hesse, and more particularly by R.F.A. Clebsch.

The introduction of the line as a space element, initiated by H.

Grassmann (1844) and Cayley (1859), yielded at the hands of Plucker a

new geometry, termed _line geometry_, a subject developed more notably

by F. Klein, Clebsch, C.T. Reye and F.O.R. Sturm (see Section V., _Line

Geometry_).

_Non-euclidean geometries_, having primarily their origin in the

discussion of Euclidean parallels, and treated by Wallis, Saccheri and

Lambert, have been especially developed during the 19th century. Four

lines of investigation may be distinguished:--the naive-synthetic,

associated with Lobatschewski, Bolyai, Gauss; the metric differential,

studied by Riemann, Helmholtz, Beltrami; the projective, developed by

Cayley, Klein, Clifford; and the critical-synthetic, promoted chiefly by

the Italian mathematicians Peano, Veronese, Burali-Forte, Levi Civitta,

and the Germans Pasch and Hilbert. (C. E.*)

I. EUCLIDEAN GEOMETRY

This branch of the science of geometry is so named since its methods and

arrangement are those laid down in Euclid's _Elements_.

S 1. _Axioms._--The object of geometry is to investigate the properties

of space. The first step must consist in establishing those fundamental

properties from which all others follow by processes of deductive

reasoning. They are laid down in the Axioms, and these ought to form

such a system that nothing need be added to them in order fully to

characterize space, and that nothing may be omitted without making the

system incomplete. They must, in fact, completely "define" space.

S 2. _Definitions._--The axioms of Euclidean Geometry are obtained from

inspection of existent space and of solids in existent space,--hence

from experience. The same source gives us the notions of the geometrical

entities to which the axioms relate, viz. solids, surfaces, lines or

curves, and points. A solid is directly given by experience; we have

only to abstract all material from it in order to gain the notion of a

geometrical solid. This has shape, size, position, and may be moved. Its

boundary or boundaries are called surfaces. They separate one part of

space from another, and are said to have no thickness. Their boundaries

are curves or lines, and these have length only. Their boundaries,

again, are points, which have no magnitude but only position. We thus

come in three steps from solids to points which have no magnitude; in

each step we lose one extension. Hence we say a solid has three

dimensions, a surface two, a line one, and a point none. Space itself,

of which a solid forms only a part, is also said to be of three

dimensions. The same thing is intended to be expressed by saying that a

solid has length, breadth and thickness, a surface length and breadth, a

line length only, and a point no extension whatsoever.

Euclid gives the essence of these statements as definitions:--

Def. 1, I. _A point is that which has no parts, or which has no

magnitude._

Def. 2, I. _A line is length without breadth._

Def. 5, I. _A superficies is that which has only length and breadth._

Def. 1, XI. _A solid is that which has length, breadth and thickness._

It is to be noted that the synthetic method is adopted by Euclid; the

analytical derivation of the successive ideas of "surface," "line," and

"point" from the experimental realization of a "solid" does not find a

place in his system, although possessing more advantages.

If we allow motion in geometry, we may generate these entities by moving

a point, a line, or a surface, thus:--

The path of a moving point is a line.

The path of a moving line is, in general, a surface.

The path of a moving surface is, in general, a solid.

And we may then assume that the lines, surfaces and solids, as defined

before, can all be generated in this manner. From this generation of the

entities it follows again that the boundaries--the first and last

position of the moving element--of a line are points, and so on; and

thus we come back to the considerations with which we started.

Euclid points this out in his definitions,--Def. 3, I., Def. 6, I., and

Def. 2, XI. He does not, however, show the connexion which these

definitions have with those mentioned before. When points and lines have

been defined, a statement like Def. 3, I., "The extremities of a line

are points," is a proposition which either has to be proved, and then it

is a theorem, or which has to be taken for granted, in which case it is

an axiom. And so with Def. 6, I., and Def. 2, XI.

S 3. Euclid's definitions mentioned above are attempts to describe, in a

few words, notions which we have obtained by inspection of and

abstraction from solids. A few more notions have to be added to these,

principally those of the simplest line--the straight line, and of the

simplest surface--the flat surface or plane. These notions we possess,

but to define them accurately is difficult. Euclid's Definition 4, I.,

"A straight line is that which lies evenly between its extreme points,"

must be meaningless to any one who has not the notion of straightness in

his mind. Neither does it state a property of the straight line which

can be used in any further investigation. Such a property is given in

Axiom 10, I. It is really this axiom, together with Postulates 2 and 3,

which characterizes the straight line.

Whilst for the straight line the verbal definition and axiom are kept

apart, Euclid mixes them up in the case of the plane. Here the

Definition 7, I., includes an axiom. It defines a plane as a surface

which has the property that every straight line which joins any two

points in it lies altogether in the surface. But if we take a straight

line and a point in such a surface, and draw all straight lines which

join the latter to all points in the first line, the surface will be

fully determined. This construction is therefore sufficient as a

definition. That every other straight line which joins any two points in

this surface lies altogether in it is a further property, and to assume

it gives another axiom.

Thus a number of Euclid's axioms are hidden among his first definitions.

A still greater confusion exists in the present editions of Euclid

between the postulates and axioms so called, but this is due to later

editors and not to Euclid himself. The latter had the last three axioms

put together with the postulates [Greek: (aitemata)], so that these were

meant to include all assumptions relating to space. The remaining

assumptions, which relate to magnitudes in general, viz. the first eight

"axioms" in modern editions, were called "common notions" [Greek:

(koivai ennoiai)]. Of the latter a few may be said to be definitions.

Thus the eighth might be taken as a definition of "equal," and the

seventh of "halves." If we wish to collect the axioms used in Euclid's

_Elements_, we have therefore to take the three postulates, the last

three axioms as generally given, a few axioms hidden in the definitions,

and an axiom used by Euclid in the proof of Prop. 4, I, and on a few

other occasions, viz. that figures may be moved in space without change

of shape or size.

S 4. _Postulates._--The assumptions actually made by Euclid may be

stated as follows:--

(1) Straight lines exist which have the property that any one of them

may be produced both ways without limit, that through any two points

in space such a line may be drawn, and that any two of them coincide

throughout their indefinite extensions as soon as two points in the

one coincide with two points in the other. (This gives the contents of

Def. 4, part of Def. 35, the first two Postulates, and Axiom 10.)

(2) Plane surfaces or planes exist having the property laid down in

Def. 7, that every straight line joining any two points in such a

surface lies altogether in it.

(3) Right angles, as defined in Def. 10, are possible, and all right

angles are equal; that is to say, wherever in space we take a plane,

and wherever in that plane we construct a right angle, all angles thus

constructed will be equal, so that any one of them may be made to

coincide with any other. (Axiom 11.)

(4) The 12th Axiom of Euclid. This we shall not state now, but only

introduce it when we cannot proceed any further without it.

(5) Figures maybe freely moved in space without change of shape or

size. This is assumed by Euclid, but not stated as an axiom.

(6) In any plane a circle may be described, having any point in that

plane as centre, and its distance from any other point in that plane

as radius. (Postulate 3.)

The definitions which have not been mentioned are all "nominal

definitions," that is to say, they fix a name for a thing described.

Many of them overdetermine a figure.

S 5. Euclid's _Elements_ (see EUCLID) are contained in thirteen books.

Of these the first four and the sixth are devoted to "plane geometry,"

as the investigation of figures in a plane is generally called. The 5th

book contains the theory of proportion which is used in Book VI. The

7th, 8th and 9th books are purely arithmetical, whilst the 10th contains

a most ingenious treatment of geometrical irrational quantities. These

four books will be excluded from our survey. The remaining three books

relate to figures in space, or, as it is generally called, to "solid

geometry." The 7th, 8th, 9th, 10th, 13th and part of the 11th and 12th

books are now generally omitted from the school editions of the

_Elements_. In the first four and in the 6th book it is to be understood

that all figures are drawn in a plane.

BOOK I. OF EUCLID'S "ELEMENTS."

S 6. According to the third postulate it is possible to draw in any

plane a circle which has its centre at any given point, and its radius

equal to the distance of this point from any other point given in the

plane. This makes it possible (Prop. 1) to construct on a given line

AB an equilateral triangle, by drawing first a circle with A as centre

and AB as radius, and then a circle with B as centre and BA as radius.

The point where these circles intersect--that they intersect Euclid

quietly assumes--is the vertex of the required triangle. Euclid does

not suppose, however, that a circle may be drawn which has its radius

equal to the distance between any two points unless one of the points

be the centre. This implies also that we are not supposed to be able

to make any straight line equal to any other straight line, or to

carry a distance about in space. Euclid therefore next solves the

problem: It is required along a given straight line from a point in it

to set off a distance equal to the length of another straight line

given anywhere in the plane. This is done in two steps. It is shown in

Prop. 2 how a straight line may be drawn from a given point equal in

length to another given straight line not drawn from that point. And

then the problem itself is solved in Prop. 3, by drawing first through

the given point some straight line of the required length, and then

about the same point as centre a circle having this length as radius.

This circle will cut off from the given straight line a length equal

to the required one. Nowadays, instead of going through this long

process, we take a pair of compasses and set off the given length by

its aid. This assumes that we may move a length about without changing

it. But Euclid has not assumed it, and this proceeding would be fully

justified by his desire not to take for granted more than was

necessary, if he were not obliged at his very next step actually to

make this assumption, though without stating it.

S 7. We now come (in Prop. 4) to the first theorem. It is the

fundamental theorem of Euclid's whole system, there being only a very

few propositions (like Props. 13, 14, 15, I.), except those in the 5th

book and the first half of the 11th, which do not depend upon it. It

is stated very accurately, though somewhat clumsily, as follows:--

_If two triangles have two sides of the one equal to two sides of the

other, each to each, and have also the angles contained by those sides

equal to one another, they shall also have their bases or third sides

equal; and the two triangles shall be equal; and their other angles

shall be equal, each to each, namely, those to which the equal sides

are opposite._

That is to say, the triangles are "identically" equal, and one may be

considered as a copy of the other. The proof is very simple. The first

triangle is taken up and placed on the second, so that the parts of

the triangles which are known to be equal fall upon each other. It is

then easily seen that also the remaining parts of one coincide with

those of the other, and that they are therefore equal. This process of

applying one figure to another Euclid scarcely uses again, though many

proofs would be simplified by doing so. The process introduces motion

into geometry, and includes, as already stated, the axiom that figures

may be moved without change of shape or size.

If the last proposition be applied to an isosceles triangle, which has

two sides equal, we obtain the theorem (Prop. 5), _if two sides of a

triangle are equal, then the angles opposite these sides are equal_.

Euclid's proof is somewhat complicated, and a stumbling-block to many

schoolboys. The proof becomes much simpler if we consider the

isosceles triangle ABC (AB = AC) twice over, once as a triangle BAC,

and once as a triangle CAB; and now remember that AB, AC in the first

are equal respectively to AC, AB in the second, and the angles

included by these sides are equal. Hence the triangles are equal, and

the angles in the one are equal to those in the other, viz. those

which are opposite equal sides, i.e. angle ABC in the first equals

angle ACB in the second, as they are opposite the equal sides AC and

AB in the two triangles.

There follows the converse theorem (Prop. 6). _If two angles in a

triangle are equal, then the sides opposite them are equal_,--i.e. the

triangle is isosceles. The proof given consists in what is called a

_reductio ad absurdum_, a kind of proof often used by Euclid, and

principally in proving the converse of a previous theorem. It assumes

that the theorem to be proved is wrong, and then shows that this

assumption leads to an absurdity, i.e. to a conclusion which is in

contradiction to a proposition proved before--that therefore the

assumption made cannot be true, and hence that the theorem is true. It

is often stated that Euclid invented this kind of proof, but the

method is most likely much older.

S 8. It is next proved that _two triangles which have the three sides

of the one equal respectively to those of the other are identically

equal, hence that the angles of the one are equal respectively to

those of the other, those being equal which are opposite equal sides_.

This is Prop. 8, Prop. 7 containing only a first step towards its

proof.

These theorems allow now of the solution of a number of problems,

viz.:--

_To bisect a given angle_ (Prop. 9).

_To bisect a given finite straight line_ (Prop. 10).

_To draw a straight line perpendicularly to a given straight line

through a given point in it_ (Prop. 11), _and also through a given

point not in it_ (Prop. 12).

The solutions all depend upon properties of isosceles triangles.

S 9. The next three theorems relate to angles only, and might have

been proved before Prop. 4, or even at the very beginning. The first

(Prop. 13) says, _The angles which one straight line makes with

another straight line on one side of it either are two right angles or

are together equal to two right angles_. This theorem would have been

unnecessary if Euclid had admitted the notion of an angle such that

its two limits are in the same straight line, and had besides defined

the sum of two angles.

Its converse (Prop. 14) is of great use, inasmuch as it enables us in

many cases to prove that two straight lines drawn from the same point

are one the continuation of the other. So also is

Prop. 15. _If two straight lines cut one another, the vertical or

opposite angles shall be equal._

S 10. Euclid returns now to properties of triangles. Of great

importance for the next steps (though afterwards superseded by a more

complete theorem) is

Prop. 16. _If one side of a triangle be produced, the exterior angle

shall be greater than either of the interior opposite angles._

Prop. 17. _Any two angles of a triangle are together less than two

right angles, is an immediate consequence of it._ By the aid of these

two, the following fundamental properties of triangles are easily

proved:--

Prop. 18. _The greater side of every triangle has the greater angle

opposite to it_;

Its converse, Prop. 19. _The greater angle of every triangle is

subtended by the greater side, or has the greater side opposite to

it_;

Prop. 20. _Any two sides of a triangle are together greater than the

third side_;

And also Prop. 21. _If from the ends of the side of a triangle there

be drawn two straight lines to a point within the triangle, these

shall be less than the other two sides of the triangle, but shall

contain a greater angle._

S 11. Having solved two problems (Props. 22, 23), he returns to two

triangles which have two sides of the one equal respectively to two

sides of the other. It is known (Prop. 4) that if the included angles

are equal then the third sides are equal; and conversely (Prop. 8), if

the third sides are equal, then the angles included by the first sides

are equal. From this it follows that if the included angles are not

equal, the third sides are not equal; and conversely, that if the

third sides are not equal, the included angles are not equal. Euclid

now completes this knowledge by proving, that "_if the included angles

are not equal, then the third side in that triangle is the greater

which contains the greater angle_"; and conversely, that "_if the

third sides are unequal, that triangle contains the greater angle

which contains the greater side_." These are Prop. 24 and Prop. 25.

S 12. The next theorem (Prop. 26) says that _if two triangles have one

side and two angles of the one equal respectively to one side and two

angles of the other, viz. in both triangles either the angles adjacent

to the equal side, or one angle adjacent and one angle opposite it,

then the two triangles are identically equal_.

This theorem belongs to a group with Prop. 4 and Prop. 8. Its first

case might have been given immediately after Prop. 4, but the second

case requires Prop. 16 for its proof.

S 13. We come now to the investigation of parallel straight lines,

i.e. of straight lines which lie in the same plane, and cannot be made

to meet however far they be produced either way. The investigation

which starts from Prop. 16, will become clearer if a few names be

explained which are not all used by Euclid. If two straight lines be

cut by a third, the latter is now generally called a "transversal" of

the figure. It forms at the two points where it cuts the given lines

four angles with each. Those of the angles which lie between the given

lines are called interior angles, and of these, again, any two which

lie on opposite sides of the transversal but one at each of the two

points are called "alternate angles."

We may now state Prop. 16 thus:--_If two straight lines which meet are

cut by a transversal, their alternate angles are unequal_. For the

lines will form a triangle, and one of the alternate angles will be an

exterior angle to the triangle, the other interior and opposite to it.

From this follows at once the theorem contained in Prop. 27. _If two

straight lines which are cut by a transversal make alternate angles

equal, the lines cannot meet, however far they be produced, hence they

are parallel._ This proves the existence of parallel lines.

Prop. 28 states the same fact in different forms. _If a straight line,

falling on two other straight lines, make the exterior angle equal to

the interior and opposite angle on the same side of the line, or make_

_the interior angles on the same side together equal to two right

angles, the two straight lines shall be parallel to one another_.

Hence we know that, "if two straight lines which are cut by a

transversal meet, their alternate angles are not equal"; and hence

that, "if alternate angles are equal, then the lines are parallel."

The question now arises, Are the propositions converse to these true

or not? That is to say, "If alternate angles are unequal, do the lines

meet?" And "if the lines are parallel, are alternate angles

necessarily equal?"

The answer to either of these two questions implies the answer to the

other. But it has been found impossible to prove that the negation or

the affirmation of either is true.

The difficulty which thus arises is overcome by Euclid assuming that

the first question has to be answered in the affirmative. This gives

his last axiom (12), which we quote in his own words.

Axiom 12.--_If a straight line meet two straight lines, so as to make

the two interior angles on the same side of it taken together less

than two right angles, these straight lines, being continually

produced, shall at length meet on that side on which are the angles

which are less than two right angles._

The answer to the second of the above questions follows from this, and

gives the theorem Prop. 29:--_If a straight line fall on two parallel

straight lines, it makes the alternate angles equal to one another,

and the exterior angle equal to the interior and opposite angle on the

same side, and also the two interior angles on the same side together

equal to two right angles_.

S 14. With this a new part of elementary geometry begins. The earlier

propositions are independent of this axiom, and would be true even if

a wrong assumption had been made in it. They all relate to figures in

a plane. But a plane is only one among an infinite number of

conceivable surfaces. We may draw figures on any one of them and study

their properties. We may, for instance, take a sphere instead of the

plane, and obtain "spherical" in the place of "plane" geometry. If on

one of these surfaces lines and figures could be drawn, answering to

all the definitions of our plane figures, and if the axioms with the

exception of the last all hold, then all propositions up to the 28th

will be true for these figures. This is the case in spherical geometry

if we substitute "shortest line" or "great circle" for "straight

line," "small circle" for "circle," and if, besides, we limit all

figures to a part of the sphere which is less than a hemisphere, so

that two points on it cannot be opposite ends of a diameter, and

therefore determine always one and only one great circle.

For spherical triangles, therefore, all the important propositions 4,

8, 26; 5 and 6; and 18, 19 and 20 will hold good.

This remark will be sufficient to show the impossibility of proving

Euclid's last axiom, which would mean proving that this axiom is a

consequence of the others, and hence that the theory of parallels

would hold on a spherical surface, where the other axioms do hold,

whilst parallels do not even exist.

It follows that the axiom in question states an inherent difference

between the plane and other surfaces, and that the plane is only fully

characterized when this axiom is added to the other assumptions.

S 15. The introduction of the new axiom and of parallel lines leads to

a new class of propositions.

After proving (Prop. 30) that "_two lines which are each parallel to a

third are parallel to each other_," we obtain the new properties of

triangles contained in Prop. 32. Of these the second part is the most

important, viz. the theorem, _The three interior angles of every

triangle are together equal to two right angles_.

As easy deductions not given by Euclid but added by Simson follow the

propositions about the angles in polygons, they are given in English

editions as corollaries to Prop. 32.

These theorems do not hold for spherical figures. The sum of the

interior angles of a spherical triangle is always greater than two

right angles, and increases with the area.

S 16. The theory of parallels as such may be said to be finished with

Props. 33 and 34, which state properties of the parallelogram, i.e. of

a quadrilateral formed by two pairs of parallels. They are--

Prop. 33. _The straight lines which join the extremities of two equal

and parallel straight lines towards the same parts are themselves

equal and parallel_; and

Prop. 34. _The opposite sides and angles of a parallelogram are equal

to one another, and the diameter (diagonal) bisects the parallelogram,

that is, divides it into two equal parts._

S 17. The rest of the first book relates to areas of figures.

The theory is made to depend upon the theorems--

Prop. 35. _Parallelograms on the same base and between the same

parallels are equal to one another_; and

Prop. 36. _Parallelograms on equal bases and between the same

parallels are equal to one another_.

As each parallelogram is bisected by a diagonal, the last theorems

hold also if the word parallelogram be replaced by "triangle," as is

done in Props. 37 and 38.

It is to be remarked that Euclid proves these propositions only in the

case when the parallelograms or triangles have their bases in the same

straight line.

The theorems converse to the last form the contents of the next three

propositions, viz.: Props, 40 and 41.--_Equal triangles, on the same

or on equal bases, in the same straight line, and on the same side of

it, are between the same parallels_.

That the two cases here stated are given by Euclid in two separate

propositions proved separately is characteristic of his method.

S 18. To compare areas of other figures, Euclid shows first, in Prop.

42, how _to draw a parallelogram which is equal in area to a given

triangle, and has one of its angles equal to a given angle_. If the

given angle is right, then the problem is solved _to draw a

"rectangle" equal in area to a given triangle_.

Next this parallelogram is transformed into another parallelogram,

_which has one of its sides equal to a given straight line_, whilst

its angles remain unaltered. This may be done by aid of the theorem in

Prop. 43. _The complements of the parallelograms which are about the

diameter of any parallelogram are equal to one another._

Thus the problem (Prop. 44) is solved to _construct a parallelogram on

a given line, which is equal in area to a given triangle, and which

has one angle equal to a given angle_ (generally a right angle).

As every polygon can be divided into a number of triangles, we can now

construct a parallelogram having a given angle, say a right angle, and

being equal in area to a given polygon. For each of the triangles into

which the polygon has been divided, a parallelogram may be

constructed, having one side equal to a given straight line and one

angle equal to a given angle. If these parallelograms be placed side

by side, they may be added together to form a single parallelogram,

having still one side of the given length. This is done in Prop. 45.

Herewith a means is found to compare areas of different polygons. We

need only construct two rectangles equal in area to the given

polygons, and having each one side of given length. By comparing the

unequal sides we are enabled to judge whether the areas are equal, or

which is the greater. Euclid does not state this consequence, but the

problem is taken up again at the end of the second book, where it is

shown how to construct a square equal in area to a given polygon.

Prop. 46 is: _To describe a square on a given straight line_.

S 19. The first book concludes with one of the most important theorems

in the whole of geometry, and one which has been celebrated since the

earliest times. It is stated, but on doubtful authority, that

Pythagoras discovered it, and it has been called by his name. If we

call that side in a right-angled triangle which is opposite the right

angle the hypotenuse, we may state it as follows:--

Theorem of Pythagoras (Prop. 47).--_In every right-angled triangle the

square on the hypotenuse is equal to the sum of the squares of the

other sides._

And conversely--

Prop. 48. _If the square described on one of the sides of a triangle

be equal to the squares described on the other sides, then the angle

contained by these two sides is a right angle._

On this theorem (Prop. 47) almost all geometrical measurement depends,

which cannot be directly obtained.

Encyclopaedia Britannica, 11th Edition, "Geodesy" to "Geometry" Volume 11, Slice 6 · 第 1 / 12 章