CHAPTER X

THE TRIUMPH OF THE AEROPLANE

Balloon versus aeroplane, p. 272--The kite as a flying machine,

p. 273--How the air sustains a heavier-than-air mechanism, p.

274--Langley's early experiments, p. 275--Experiments in soaring,

p. 277--Lilienthal's imitation of the soaring bird, p. 279--Sir

Hiram Maxim's flying machine, p. 283--Langley's successful

aerodrome, p. 284--The failure of Langley's larger aerodrome,

p. 287--Wilbur and Orville Wright accomplish the impossible, p.

288--The first public demonstration by the Wright brothers, p.

290--The Wright aeroplane described, p. 291--A host of imitators,

p. 292--Mr. Henry Farman's successful flights, p. 293--Public

demonstrations by the Wright brothers in America and France, p.

293--The English Channel crossed by Blériot, p. 294--Orville

Wright fulfils the Government tests, p. 295--Spectacular

cross-country flights, p. 296--The Wright brothers the true

pioneers, p. 300.

ILLUSTRATIONS

THE WRIGHT AEROPLANE IN FRANCE IN 1908 _Frontispiece_

_Facing page_

"TAKING THE SUN" WITH THE SEXTANT 22

THE OLD AND THE NEW--A CONTRAST 60

MARINE ENGINES AND AN EARLY TYPE OF STEAMBOAT 64

THE STEAMSHIPS "CHARLOTTE DUNDAS" AND "CLERMONT" 68

THE "CLERMONT" 72

ROBERT FULTON 98

THE AMERICAN SUBMARINE BOAT "CUTTLEFISH" IN DRY DOCK AT

THE BROOKLYN NAVY YARD 108

A FLEET OF BRITISH SUBMARINES MANŒUVERING AT THE SURFACE 116

GEORGE STEPHENSON 124

A CENTURY'S PROGRESS IN LOCOMOTIVE BUILDING 128

CUGNOT'S TRACTION ENGINE AND THE "NOVELTY" LOCOMOTIVE 132

THE FAMOUS LOCOMOTIVES "ROCKET" AND "SANS-PAREIL" 134

THE DEVELOPMENT OF THE LOCOMOTIVE 150

THE HOBBY-HORSE OF 1820 CONTRASTED WITH THE MOTOR CYCLE

OF TO-DAY 154

THE EVOLUTION OF THE BICYCLE 156

THE EXTREMES OF AUTOMOBILE DEVELOPMENT 158

AN ENGLISH STEAM COACH OF 1827 AND A NEW YORK TAXICAB

OF 1909 162

A RACING AUTOMOBILE 166

RETROSPECT AND PROSPECT IN TRANSPORTATION--THE DE WITT

CLINTON TRAIN AND THE GYROCAR 200

TWO VIEWS OF MR. LOUIS BRENNAN'S MONORAIL GYROCAR 216

AN INTERNATIONAL BALLOON RACE 242

TWO FAMOUS FRENCH WAR BALLOONS 264

THE ZEPPELIN DIRIGIBLE BALLOON 266

AN ENGLISH DIRIGIBLE BALLOON 268

ENGLISH AND AMERICAN DIRIGIBLE WAR BALLOONS AND A

WRIGHT AEROPLANE 270

THE AEROPLANE OF M. SANTOS-DUMONT 272

LEARNING HOW TO FLY 278

FLYING MACHINES OF THE MONOPLANE TYPE 284

THE WRIGHT AEROPLANE 288

MR. WILBUR WRIGHT PREPARING TO ASCEND IN HIS AEROPLANE

WITH HIS PUPIL M. CASSANDIER 292

THE FARMAN AEROPLANE 294

THE MONOPLANES OF BLÉRIOT AND LATHAM 296

A BRITISH AEROPLANE 298

MR. WILBUR WRIGHT FLYING OVER NEW YORK HARBOR,

OCTOBER 4, 1909 300

THE CONQUEST OF TIME AND SPACE

INTRODUCTION

The preceding volume dealt with the general principles of application

and transformation of the powers of Nature through which the world's

work is carried on. In the present volume we are chiefly concerned

with man's application of the same principles in his efforts to set at

defiance, so far as may be, the limitations of time and space.

Something has already been said as to the contrast between the

material civilization of to-day and that of the generations prior to

the nineteenth century. The transformation in methods of agriculture

and manufacture has been referred to somewhat in detail. Now we

have to do with contrasts that are perhaps even more vivid, since

they concern conditions that come within the daily observation of

everyone. Steamships, locomotives, electric cars, and automobiles,

are such commonplaces of every-day life that it is difficult to

conceive a world in which they have no part. Yet everyone is aware

that all these mechanisms are inventions of the nineteenth century.

Meantime the aeroplane, which bids fair to rival those other means

of transportation in the near future, is a creation of the twentieth

century.

In order to visualize the contrast between the practical civilization

of to-day and that of our grandparents, it suffices to recall that the

first steam locomotive that carried passengers over a railway was put

in operation in the year 1829; and that the first ship propelled by

steam power alone did not cross the ocean until 1838. Not until well

towards the middle of the nineteenth century, then, were the conditions

of transportation altered materially from what they had been since the

very dawn of civilization,--conditions under which one hundred miles

constituted about the maximum extent of a hard day's land journey.

The elaboration of railway and steamship lines through which nearly

all portions of the habitable globe have been made accessible, has

constituted one of the most remarkable examples of economic development

that man has ever achieved. It requires but the slightest use of the

imagination to realize with some measure of vividness the extent to

which the entire structure of present-day civilization is based upon

this elaboration of means of transportation. To point but a single

illustration, the entire central and western portion of the United

States must have remained a wilderness for decades or centuries had not

the steam locomotive made communication easy between these regions and

the seaboard.

Contrariwise no such development of city life as that which we see

throughout Christendom would have been possible but for the increased

facilities, due primarily to locomotives and steamships, for bringing

all essential food-stuffs from distant regions.

What this all means when applied on a larger scale may be suggested

by the reflection that the entire character of the occupation of the

average resident of England has been changed within a century. A

century ago England was a self-supporting nation, in the sense that

it produced its own food-stuffs. To-day the population of England as

a whole is dependent upon food shipped to it from across the oceans.

Obviously such a transformation could never have been effected had

not the application of steam revolutionized the entire character of

transportation.

Far-reaching as are the economic aspects of the problem of

transportation, this extraordinary revolution, the effects of which

are visible on every side, has been brought about by the application

of only a few types of mechanisms. The steam engine, the dynamo, and

the gas engine are substantially responsible for the entire development

in question. In the succeeding pages, which deal with the development

of steamships, locomotives, automobiles, and flying machines, we have

to do with the application of principles with which our previous

studies have made us familiar; and in particular with the mechanisms

that have engaged our attention in the preceding volume. Yet the

application of these principles and the utilization of these mechanisms

gave full opportunity for the exercise of inventive ingenuity, and

the story of the development of steamships, locomotives, electric

vehicles, automobiles, gyro cars, and flying machines, will be found

to have elements of interest commensurate with the importance of these

mechanisms themselves. Before we take up these stories in detail,

however, we shall briefly review the story of geographical discovery

and exploration in its scientific aspects.

I

THE CONQUEST OF THE ZONES

The contrast between modern and ancient times is strikingly suggested

by reflection on the limited range of geographical knowledge of those

Oriental and Classical nations who dominated the scene at that remote

period which we are accustomed to characterize as the dawn of history.

The Egyptians, peopling the narrow valley of the Nile, scarcely had

direct dealings with any people more remote than the Babylonians

and Assyrians occupying the valley of the Euphrates. Babylonians

and Assyrians in turn were in touch with no Eastern civilization

more remote than that of Persia and India, and knew nothing of any

Western world beyond the borders of Greece. Greeks and Romans, when

in succession they came to dominate the world stage,--developing a

civilization which even as viewed from our modern vantage-ground seems

marvelous,--were still confined to narrow strips of territory about the

shores of the Mediterranean, and had but the vaguest notions as to any

other regions of the earth.

In the later classical period, to be sure, the globe was subjected,

as we have seen, to wonderful measurements by Eratosthenes and by

Posidonius, and the fact that man's abiding place is a great ball

utterly different from the world as conceived by the Oriental mind,

was definitely grasped and became more or less a matter of common

knowledge. It was even conceived that there might be a second habitable

zone on the opposite side of the equator from the region in which

the Greeks and Romans found themselves, but as to just what this

hypothetical region might be like, and as to what manner of beings

might people it, even the most daring speculator made no attempt

to decide. The more general view, indeed, precluded all thought of

habitable regions lying beyond the confines of the Mediterranean

civilization; conceiving rather that the world beyond was a mere waste

of waters.

Doubtless the imaginative mind of the period must have chafed under

these restrictions of geographical knowledge; and now and again a more

daring navigator must have pressed out beyond the limits of safety,

into the Unknown, never to return. Once at least, even in the old

Egyptian days, a band of navigators surpassing in daring all their

predecessors, and their successors of the ensuing centuries, made bold

to continue their explorations along the coast of Africa till they had

passed to a region where--as Herodotus relates with wonder--the sun

appeared "on their right hand," ultimately passing about the southern

extremity of the African continent and in due course completing the

circumnavigation, returning with wonder tales to excite the envy,

perhaps, but not the emulation of their fellows.

Then in due course some Phœnician or Greek navigators coasted along the

northern shores beyond the "Pillars of Hercules" and discovered at the

very confines of the world what we now term the British Isles. But this

was the full extent of exploration throughout antiquity; and the spread

of civilization about the borders of the known world was a slow and

haphazard procedure during all those centuries that mark the Classical

and Byzantine periods.

THE MARINER'S COMPASS

The change came with that revival of scientific learning which was

to usher in the new era that we speak of as modern times. And here

as always it was a practical mechanism that gave the stimulus to new

endeavor. In this particular case the implement in question was the

mariner's compass, which consists, in its essentials, as everyone is

aware, of a magnetized needle floated or suspended in such a way that

it is made under the influence of terrestrial magnetism to point to the

north and south.

The mysterious property whereby the magnetized needle obeys this

inscrutable impulse is, in the last analysis, inexplicable even to

the science of our day. But the facts, in their cruder relations,

had been familiar from time immemorial to a nation whose habitat lay

beyond the ken of the classical world--namely, the Chinese. It seems

to be fairly established that navigators of that nation had used the

magnetized needle, so arranged as to constitute a crude compass, from

a period possibly antedating the Christian Era. To Western nations,

however, the properties of the magnetized needle seem to have

been quite unknown--at least its possibilities of practical aid to

the navigator were utterly unsuspected--until well into the Middle

Ages. There is every reason to believe--though absolute proof is

lacking--that a knowledge of the compass came to the Western world from

the Far East through the medium of the Arabs. The exact channel of

this communication will perhaps always remain unknown. Nor have we any

clear knowledge as to the exact time when the all-important information

was transmitted. We only know that manuscripts of the twelfth century

mentioned the magnetic needle as an implement familiar to navigators,

and from this time forward, we may feel sure, the new possibilities of

exploration made possible by the compass must have suggested themselves

to some at least of the more imaginative minds of each generation.

Indeed there were explorers in each generation who pushed out a little

into the unknown, as the discovery of various groups of Islands in

the Atlantic shows, although the efforts of these pioneers have been

eclipsed by the spectacular feat of Columbus.

The exact steps by which the crude compass of the Orientals was

developed into the more elaborate and delicate instrument familiar to

Western navigators cannot be traced by the modern historian. It is

known that sundry experiments were made as to the best form of needle,

and in particular as to the best way of adjusting it on approximately

frictionless bearings. But a high degree of perfection in this regard

had been attained before the modern period; and the compass had

been further perfected by attaching the needle to a circumferential

card on which the "points of the compass," thirty-two in number,

were permanently marked. At all events the compass card had been so

divided before the close of the fourteenth century, as is proved by

a chance reference by Chaucer. The utility of the instrument thus

perfected--indeed its entire indispensableness--was doubtless by this

time clearly recognized by all navigators; and one risks nothing in

suggesting that without the compass no such hazardous voyage into the

unknown as that of Columbus would ever have been attempted.

No doubt the earliest observers of the needle believed that it pointed

directly to the North. If such were indeed the fact the entire science

of navigation would be vastly simpler than it is. But it required no

very acute powers of observation to discover that the magnetized needle

does not in reality point directly towards the earth's poles. There

are indeed places on the earth where it does so point, but in general

it is observed to deviate by a few degrees from the exact line of the

meridian. Such deviation is technically known as magnetic declination.

That this declination is not the same for all places was discovered by

Columbus in the course of his first transatlantic voyage.

A century or so later, the accumulated records made it clear that

declination is not a fixed quantity even at any given place. An

Englishman, Stephen Burrows, is credited with making the discovery

that the needle thus shifts its direction slightly with the lapse

of time, and the matter was more clearly determined a little later

by Gillebrand, Professor of Geometry at Graham College. Dr. Halley,

the celebrated astronomer--whose achievements have been recalled to

succeeding generations by the periodical return of the comet that bears

his name--gave the matter attention, and in a paper before the Royal

Society in 1692 he pointed out that the direction of the needle at

London had changed in a little over a century (between 1580 and 1692)

from 11 degrees 15 minutes East to 6 degrees West, or more than 17

degrees.

Halley conclusively showed that similar variations occurred at all

other places where records had been kept. He had already demonstrated,

a few years earlier, that the deviations of the compass noted at sea

are not due to the varying attractions of neighboring bodies of land,

but to some influence having to do with the problem of terrestrial

magnetism in its larger aspects. Halley advocated the doctrine, which

had first been put forward by William Gilbert, that the earth itself

is a gigantic magnet, and that the action of the compass is dependent

upon this terrestrial source and not, as many navigators believed, on

the influence of a magnetic star, or on localized deposits of lodestone

somewhere in the unknown regions of the North.

Further observations of the records presently made it clear that there

are also annual and even daily variations of the compass of slight

degree. The fact of diurnal variations was first discovered by Mr.

Graham about the year 1719. More than half a century later it was

observed by an astronomer named Wales, who was accompanying Captain

Cook on his famous voyage round the world (1772-74), that there is yet

another fluctuation of the compass due to the influence of the ship

on which it is placed. Considerable quantities of iron were of course

used in the construction of wooden ships, and it was made clear that

the ship itself comes under the influence of the earth's magnetism and

exerts in turn an appreciable influence on the compass. The fluctuation

due to this source is known as deviation, in contradistinction to the

larger fluctuation already referred to as declination.

Not only is the deviation due to the ship's influence a matter of

importance, but it was discovered by Captain Matthew Flinders, in the

course of his explorations along the coast of New Holland in the year

1801-02, that the influence of the ship over its compass varies with

the direction of the ship's prow.

Needless to say, the problem of the deviation of the compass due to the

influence of the ship is enormously complicated when the ship instead

of being constructed chiefly of wood is made of iron or steel. It then

becomes absolutely essential that the influence of vessels shall be

reckoned with and so far as possible compensated. Such compensation may

be effected by the adjustment of bodies of iron, as first suggested

by Barlow, or by the use of permanent magnets, as first attempted

by England's Astronomer Royal, Professor Airy. At the very best,

however, it is never possible totally to overcome the ship's perverting

influence, allowance for which must be made if an absolutely accurate

conclusion is to be drawn from the record presented by the compass.

Early in the twentieth century an American ship, christened the

_Carnegie_, in honor of the philanthropist who supplied funds for the

enterprise, was constructed for the express purpose of making accurate

charts of the lines of magnetic declination in various parts of the

globe. This ship differs from every other vessel of considerable size

ever hitherto constructed in that no magnetic material of any kind

was used in connection with its structure or equipment. For the most

part iron was substituted by copper or other non-magnetic metal.

Pins of locust-wood largely took the place of nails; and wherever it

was not feasible to do away with iron altogether it was used in the

form of non-magnetic manganese steel. The purpose of the _Carnegie_

is to provide accurate charts of magnetic declination for the use

of navigators in general. The value of observations made with this

non-magnetic ship will be clear when it is reflected that with an

ordinary ship the observer can never be absolutely certain as to what

precise share of the observed fluctuation of the compass is due at any

given moment to the ship's influence. In other words--using technical

terminology--he can never apportion with absolute accuracy the

influence of declination and of deviation. Yet it is highly important

that he should be able to do so, inasmuch as the declination of the

compass is an all-important element in reckoning the exact location of

the ship, and would be the same for every ship at that place, whereas

deviation denotes a purely local disturbance which would never be the

same for any two ships of different construction.

Not only does the magnetized needle thus tend to vary in the direction

of its horizontal action, but it also tends when suspended at the

middle to shift its vertical axis. In regions near the equator, indeed,

the magnetized needle maintains a horizontal position, but if carried

into northern or southern latitudes it progressively "dips," its

polar end sinking lower and lower. This dipping of the needle seems

to have been first observed by Robert Norman, an English nautical

instrument maker, about the year 1590. It was brought to the attention

of Gilbert and carefully tested by him in the course of his famous

pioneer experiments. Gilbert was led to predicate the existence of

magnetic poles, the exact location of which would be indicated by the

dipping needle, which, sinking lower and lower as northern latitudes

were attained, would ultimately at the magnetic pole itself assume a

vertical direction.

That this is a correct expression of the facts was determined in

the year 1831 by Sir James Ross, who in the course of his Arctic

explorations observed the vertical dip and so located the northern

magnetic pole at about 70 degrees 5 minutes north latitude and 96

degrees 43 minutes west longitude. It was thus proved that the magnetic

pole is situated a long distance--more than 1,200 miles--from the

geographical pole. The location of the south magnetic pole was most

accurately determined in 1909 by Lieutenant Shackleton's expedition at

about 73 degrees south latitude and 156 degrees east longitude. The two

magnetic poles are thus not directly opposite each other on the earth's

surface, and the magnetic axis of the earth does not coincide with the

geographical center of the globe itself.

From the standpoint of practical navigation the dip of the needle is

a matter of much less significance than its horizontal fluctuations.

Robert Norman himself attempted to overcome the dip by a balancing

apparatus applied to the needle; and the modern compass is suspended

in such a way that the propensity to dip does not interfere with

the lateral movements which supply the navigator with all important

information. The modern compass in question is the invention of

Lord Kelvin and was patented by him in 1876. It consists of a

number of small magnets arranged in parallel and held in position

by silk threads, each suspended, cobweb-like, from the circular

rim of aluminum. The weight--which in the aggregate is relatively

slight--being thus largely at the circumference, the instrument has a

maximum period of oscillation and hence a high degree of stability. Its

fluctuations due to the ship's influence are corrected by a carefully

adjusted disposition of metal balls and magnets.

SAILING BY DEAD RECKONING

While the compass gives indispensable information as to direction,

and is constantly under the eye of the pilot, it of course can give

no direct information as to the distance traversed by the ship, and

hence does not by itself suffice to tell the navigator his whereabouts.

In the early days there was indeed an expectation that the observed

declination of the compass would reveal to the navigator his longitude

and that the observation of the dip might enable him to determine his

latitude. But more extended observation shows that this was asking

altogether too much of the compass, and while it may be useful as

an accessory it is by no means the navigator's chief reliance in

determining his location. This is accomplished, as everyone is aware,

in clear weather by the observation of the heavenly bodies. In cloudy

weather, however, such observations obviously cannot be made, and the

seaman must direct his ship and estimate his location--an all important

matter when he is approaching the coast--by what is called dead

reckoning. One element of this reckoning is furnished by the compass,

inasmuch as that is his sole guide in determining the direction of

the ship's progress. The other element is supplied by the log which

furnishes him a clue as to the distance traversed hour by hour.

It is rather startling to reflect that the navigators of the middle

ages had no means whatever of determining the rate of progress of a

ship at sea, beyond the crudest guesses unaided by instrument of any

kind. When Columbus made his voyage he had no means of knowing what

distance he had actually sailed; nor was any method of measuring the

ship's speed utilized throughout the course of the ensuing century. In

the year 1570, however, one Humfray Cole suggested a theoretical means

of measuring the ship's rate of progress by means of an object dropped

back of the ship and allowed to drag through the water; and this

suggestion led a generation later to the introduction of the log, which

was first actually tested, so far as can be learned, in the year 1607.

The original log was so called because it consisted essentially of

an actual log or piece of wood. To the center of this a string was

attached, and in testing the ship's rate of progress this string was

allowed to slip through the fingers of a sailor who counted the number

of knots--placed, of course, at regular intervals on the string--that

passed through his fingers in a given time. As the log itself would

remain practically stationary in the water where it was dropped, the

number of knots counted indicated the distance traversed by the ship in

a given time. In practice the time was usually gauged by a half-minute

sand glass, and the knots were arranged at such a distance on the cord

that, in the course of the half minute, one knot would pass through

the fingers for each nautical mile covered by the ship in an hour. The

actual distance between the knots was therefore about fifty feet. The

nautical or geographical mile represents one degree of the earth's

circumference at the equator, amounting therefore to 6,008 feet, as

against the 5,280 feet of the statute mile. It was the use of the

log-line with its knots, as just explained, that led to the dubbing

of the nautical mile by the name "knot," which is still familiarly

employed, though the knotted log-line itself has been superseded in

recent times, except on very old-fashioned sailing ships.

The log retains its place even in the most modern ship, though its form

is materially altered, and its importance is somewhat lessened owing to

the fact that the experienced skipper can test the speed of his ship

very accurately by noting the number of revolutions per minute of the

ship's propellers. It is indeed the ship's propeller that supplies

the model for the modern log, in which the primitive piece of wood is

replaced by a torpedo-like piece of metal with miniature propeller-like

blades at its extremity. This apparatus is towed at the end of a long

line, and its blades, whirling more or less rapidly according to the

speed of the ship, communicate their motion to a recording apparatus,

adjusted at the ship's stern, to which the line is attached and the

face of which ordinarily presents a dial on which the speed of the ship

may be observed as readily as one observes the time by the clock.

Some recent modifications of the log employ an electrical device to

register the progress, but the principle of the revolving vanes, which

owe their speed to the rate at which they are dragged through the

water, is the fundamental one upon which the action of the log usually

depends, though attempts have been made to substitute pressure-gauge

systems.

While the modern log records the speed of the ship with a fair degree

of accuracy, its register shows at best only an approximation of the

facts. As already mentioned, the rate of revolution of the ship's

propeller blades furnishes what most navigators regard as a rather more

dependable test of speed. An apparatus for recording this is found on

the bridge of the modern ship. But due allowance must of course be made

for the effect of winds, waves, and ocean currents. These constantly

variable factors obviously make the estimate as to the precise distance

traversed by a ship in a given time a matter not altogether devoid of

guess work; and no navigator who has been obliged to sail for several

days by dead reckoning approaches a coast with quite the same degree

of satisfaction that he may entertain if his log has been checked by

observation of the sun or stars. In case, however, a navigator is able

to check his reckoning by astronomical observations, aided by the

chronometer, he determines his location with great accuracy.

THE DEVELOPMENT OF THE SEXTANT

The instrument with which such astronomical observations are made is

known as the sextant. Its purpose is to measure with great accuracy the

angle between two objects, which in practice are the horizon line on

one hand and some celestial body, usually the sun, on the other. The

determination of the latitude of the ship, for example, is a matter of

comparative ease, if the sun chances to be unobscured just at midday.

The navigator has merely to measure the exact elevation of the sun as

it crosses the meridian,--that is to say when it is at its highest

point,--and, having made certain corrections for so-called dip and

refraction, to which we shall refer more at length in a moment, a very

simple calculation reveals the latitude--that is to say, the distance

from the terrestrial equator.

That the latitude of a ship could thus be determined, with greater or

less accuracy, has been familiar knowledge to seamen from a very early

period. It was by the use of this principle that the earth was measured

by Eratosthenes and Posidonius in classical times, and the sailors of

antiquity probably carried with them a crude apparatus for measuring

the height of sun and stars, as the mediæval navigators are known to

have done.

The simplest and crudest form of measurer of which the record has been

preserved is known as the cross-staff. This consisted essentially of a

stick about a yard in length, called the staff, on which a cross-piece

was arranged at right angles, so adjusted at the center as to slide

back and forth on the staff. An eye-piece at one end of the staff was

utilized to sight along projections at either end of the cross-piece.

If the apparatus is held so that one of the lines of sight is directed

to the horizon, and then the cross-piece slid along the staff until

the other line of sight is directed toward the sun or a given star,

the angle between the two lines of sight will obviously represent the

angle of altitude of the celestial body in question. But the difficulty

of using an apparatus which requires two successive observations to be

made without shift of position is obvious, and it is clear that the

information derived from the cross-staff must have been at best very

vague--by no means such as would satisfy the modern navigator.

Even the navigators of the fifteenth century were aware of the

deficiencies of the cross-staff and sought to improve upon it. The

physicians of Henry the Navigator of Portugal, Roderick and Joseph by

name, and another of his advisers, Martin de Bohemia, are credited

with inventing, or at least introducing, a much improved apparatus

known as the astrolabe. This consists of a circle of metal, arranged

to be suspended from a ring at the side, so that one of its diameters

would maintain the horizontal position through the effect of gravity.

A superior quadrant of the circle was marked with degrees and minutes.

A straight piece of metal, with sights so that it could be accurately

pointed, was adjusted to revolve on a pivot at the center of the

circle. This sighting piece being aimed at the sun, for example, the

elevation of that body could be read directly on the measuring arc

of the circle. Here, then, was no new principle involved, but the

instrument had obvious points of advantage over the cross-staff, in

particular because only a single sight need be taken, the horizon

line being determined, as already explained, through the action of

gravitation.

The astrolabe did not gain immediate favor with practical navigators,

and it was at best a rather clumsy instrument, subject to peculiar

difficulties when used on a rolling ship. Many attempts were made to

improve upon it, but for a long time none of these was altogether

successful. The final suggestion as to means of overcoming the

difficulties encountered in measuring the altitude of astronomical

bodies was made by Sir Isaac Newton. But nothing practical came of

his discovery, as it was not published until a long time after his

death. Meantime independent discovery of the same principle was

made by Thomas Godfrey of Philadelphia, in 1730, and by the English

astronomer Hadley, who published his discovery before the Royal Society

in 1731. The instrument which Hadley devised was called a quadrant.

The principle on which it worked involved nothing more complex than

the use of two mirrors, one of them (known as the horizon glass and

having only half its surface mirrored) fixed in the line of vision of

a small telescope; the other (called the index mirror) movable with

the arm of an indicator, which is so adjusted as to revolve about the

axis of the quadrant. In operation these two mirrors enable the images

of two objects, the distance between which is to be measured, to be

superimposed. The telescope may be pointed at the horizon, for example,

directly under the position of the sun, and the arm of the instrument,

altering the position of the so-called index mirror, may be rotated

until the limb of the sun seems just to touch the horizon--the latter

being viewed through the unsilvered half of the horizon glass. The

scale at the circumference of the instrument is marked in half-degrees,

which, however, are registered as whole degrees, and which, so

interpreted, give the direct measurement of the angular distance

between the horizon and the sun; in other words the measurement of the

sun's altitude or so-called declination.

The instrument just described, perfected as to details but not modified

as to principles, constitutes the modern sextant, which is used by

every navigator, and which constitutes, along with the compass and

chronometer, the practical instrumental equipment that enables the

seaman to determine--by using the tables of the _Nautical Almanac_--his

exact position on the earth's surface from observation of the sun or

certain of the fixed stars. The modern instrument is called a sextant

because it has, for convenience' sake, been restricted in size to about

one-sixth of a circle instead of the original one-quarter, the small

size being found to answer every practical purpose, since it measures

all angles up to 120 degrees.

In practice the sextant is an instrument only six or eight inches in

diameter. It is held in the right hand and the movable radial arm is

adjusted with the left hand with the aid of a micrometer screw, and

the reading of the scale is made accurate by the vernier arrangement.

The ordinary observation--which every traveler has seen a navigator

make from the ship's bridge just at midday--is carried out by holding

the sextant in a vertical position directly in line of the sun, and

sighting the visible horizon line, meantime adjusting the recording

apparatus so as to keep the sun's limb seemingly in touch with the

horizon. As the sun is constantly shifting its position the vernier

must be constantly adjusted until the observation shows that the sun is

at the very highest point. The instrument being clamped and the scale

read, the latitude may be known when proper correction has been made

for the so-called dip, for refraction, and where great accuracy is

required for parallax.

[Illustration: "TAKING THE SUN" WITH THE SEXTANT.

The instrument is held in the right hand, and levelled at the horizon;

the left hand manipulating the micrometer screw which adjusts the

radial arm carrying the index mirror (at top of figure). The result is

read on the Vernier scale (arc at bottom of figure) with the aid of the

magnifying glass.]

Dip, it may be explained, is due to the fact that the observation is

made not from the surface of the water but from an elevation, which

is greater or less according to the height of the bridge, and which

therefore varies with each individual ship. The error of refraction

is due to the refraction of the sun's light in passing through the

earth's atmosphere, and will vary with the temperature and the degree

of atmospheric humidity, both of which conditions must be taken into

account. The amount of refractive error is very great if an object

lies near the horizon. Everyone is familiar with the oval appearance

of the rising or setting sun, which is due to refraction. With the sun

at the meridian, the refractive error is comparatively slight; and

when a star is observed at the zenith the refractive error disappears

altogether.

By parallax, as here employed, is meant the error due to the difference

in the apparent position of the sun as viewed by an observer at any

point of the earth's surface from what the apparent position would

be if viewed from the line of the center of the earth, from which

theoretical point the observations are supposed to be made. In the case

of bodies so distant as the sun, this angle is an exceedingly minute

one, and in the case of the fixed stars it disappears altogether. The

sun's parallax is very material indeed from the standpoint of delicate

astronomical observations, but it may be ignored altogether by the

practical navigator in all ordinary observations. There is one other

correction that he must make, however, in case of sun observations;

he must add, namely, the amount of semi-diameter of the sun to his

observed measurement, as all calculations recorded in the _Nautical

Almanac_ refer to the center of the sun's disk.

PERFECTING THE CHRONOMETER

The observation of the sun's height, with the various corrections just

suggested, suffices by itself to define the latitude of the observer.

Something more is required, however, before he can know his longitude.

How to determine this, was a problem that long taxed the ingenuity of

the astronomer. The solution came finally through the invention of the

chronometer, which is in effect an exceedingly accurate watch.

Time measurers of various types have, of course, been employed from the

earliest times. The ancient Oriental and Classical nations employed

the so-called clepsydra, which consisted essentially of receptacles

from or into which water dripped through a small aperture, the lapse of

time being measured by the quantity of water. At an undetermined later

date sand was substituted for the water, and the hour glass with which,

in some of its forms, nearly everyone is familiar, came into use. For

a long time this remained a most accurate of time measurers, though

efforts were early made to find substitutes of greater convenience.

Then clocks operated by weights and pulleys were introduced; and,

finally, after the time of the Dutchman Huygens, the pendulum clock

furnished a timepiece of great reliability. But the mechanism operated

by weight or pendulum is obviously ill-adapted to use on shipboard.

Portable watches, in which coiled springs took the place of the

pendulum, had indeed been introduced, but the mechanical ingenuity

of the watchmaker could not suffice to produce very dependable

time-keepers. The very idea of a watch that would keep time accurately

enough to be depended upon for astronomical observations intended to

determine longitude was considered chimerical.

Nevertheless the desirability of producing a portable time-keeper

of great accuracy was obvious, and the efforts of a large number

of experimenters were directed towards this end in the course of

the eighteenth century. These efforts were stimulated by the hope

of earning a prize of twenty thousand pounds offered by the British

Government for a watch sufficiently accurate to determine the

location of a ship with maximum error of half a degree, or thirty

nautical miles, corresponding to two minutes of time, in the course

of a transatlantic voyage. It affords a striking illustration of the

relative backwardness of nautical science, and of the difficulties

to be overcome, to reflect that no means then available enabled the

navigator at the termination of a transatlantic voyage to be sure of

his location within the distance of thirty nautical miles by any means

of astronomical or other observation known to the science of the time.

The problem was finally solved by an ingenious British carpenter

named John Harrison, who devoted his life to the undertaking, and

who came finally to be the most successful of watchmakers. Harrison

first achieved distinction by inventing the compensating pendulum--a

pendulum made of two metals having a different rate of expansion under

the influence of heat, so adjusted that change in one was compensated

by a different rate of change in the other. Up to the time of this

discovery, even the best of pendulum clocks had failed of an ideal

degree of accuracy owing to the liability to change of length of the

pendulum--and so, of course, to corresponding change in the rate of

its oscillation--with every alteration of temperature. Another means

of effecting the desired compensation was subsequently devised by Mr.

Graham, through the use of a well of mercury in connection with the

pendulum, so arranged that the expansion of the mercury upward in its

tube would compensate the lengthening of the pendulum itself under

effect of heat, and vice versa; but the Harrison pendulum, variously

modified in design, remains in use as a highly satisfactory solution of

the problem.

Harrison early conceived the idea that it might be possible to apply

the same principle to the balance-wheel of the watch. This problem

presented very great practical difficulties, but by persistent effort

these were finally overcome, and a balance-wheel produced, which, owing

to the unequal expansion and contraction of its two component metals

under changing temperature, altered its shape and so maintained its

rate of oscillation almost--though never quite--regardless of changing

conditions of temperature.

In 1761 Harrison produced a watch which was tested on a British ship

in a trip to the West Indies in that and the succeeding year, and

which proved to be a time-keeper of hitherto unexampled accuracy. The

inventor had calculated that the watch, when carried into the tropics,

would vary its speed by one second per day with each average rise

of ten degrees of temperature. Making allowance for this predicted

alteration, it was found that the watch was far within the limits of

variation allowed by the conditions of the test above outlined. It had

varied indeed only five seconds during the journey across the ocean.

On the return trip the watch was kept in a place near the stern of

the ship, for the sake of dryness, where, however, it was subjected

to a great deal of joggling, which led to a considerably greater

irregularity of action; but even so its variation on reaching British

shores was such as to cause a maximum miscalculation of considerably

less than thirty nautical miles.

Although Harrison seemed clearly enough to have won the prize,

there were influences at work that interfered for a time with full

recognition of his accomplishment. Presently he received half the

sum, however, and ultimately, after having divulged the secret of his

compensating balance and proved that he could make other watches of

corresponding accuracy, he received the full award.

Minor improvements have naturally been made in the watch since that

time, but the essential problem of making a really reliable portable

timepiece was solved by the compensating balance-wheel of Harrison.

The ship's chronometer of to-day is merely a large watch, with an

escapement of particular construction, mounted on gimbals so that it

will maintain a practically horizontal position.

Modern ships are ordinarily provided with at least three of these

time-keepers in order that each may be compared with the others, and

a more accurate determination of the time made than would be possible

from observation of a single instrument; inasmuch as no absolutely

accurate time-keeper has ever been constructed. Two chronometers would

obviously be not much better than one, since there would be no guide as

to whether any variation between them had been caused by one running

too fast or the other too slowly. But with a third chronometer to check

the comparison, it is equally obvious that a dependable clue will be

given as to the exact time.

It is to be understood of course that the variation of any of the

chronometers will be but slight if they are good instruments. Moreover

the tendency to vary in one direction or the other of each individual

instrument will be known from previous tests. Such tests are constantly

made at the Royal Observatory in England and elsewhere, and the

best chronometers bear certificates as to their accuracy and as to

their rate of variation. It may be added that a chronometer or other

timepiece is technically said to be a perfect instrument, not when

it has no variation at all--since this has proved an unattainable

ideal--but when its variation is slight, is always in one direction,

and is perfectly or almost perfectly uniform.

FINDING THE TIME WITHOUT A CHRONOMETER

In the reference made above to the testing of Harrison's watch, it

was stated that that instrument varied by only a certain number of

seconds in the course of the westerly voyage across the Atlantic, and

that its variation was somewhat greater on the return voyage. This

implies, clearly, that some method was available to test the watch in

the West Indies, without waiting for the return to England. At first

thought this may cause no surprise, since the local time can of course

be known anywhere through meridian observations; but on reflection

it may seem less and less obvious as to just what test was available

through which the exact difference in time between Greenwich, at

which the watch was originally tested, and local time at the station

in the West Indies could be determined. There are, however, several

astronomical observations through which this could be accomplished, and

in point of fact the comparative times and hence the precise longitudes

at many points on the Western Hemisphere--and indeed of all portions

of the civilized globe--were accurately known before the day of the

chronometer.

One of the simplest and most direct means of testing the time of a

place, as compared with Greenwich time, is furnished by observation

of the occultation of one of the moons of Jupiter. By occultation is

meant, as is well known, the eclipse of the body through passing into

the shadow of its parent planet. This phenomenon, causing the sudden

blotting out of the satellite as viewed from the earth, occurs at

definite and calculable periods and is obviously quite independent

of any terrestrial influence. It occurs at a given instant of time

and would be observed at that instant by any mundane witness to whom

Jupiter was at that time visible. If then an observer noted the exact

local time at which occultation occurred, and compared this observed

time with the Greenwich time at which such occultation was predicted

to occur, as recorded in astronomical tables, a simple subtraction

or addition will tell him the difference in time between his station

and the meridian at Greenwich; and this difference of time can be

translated into degrees of longitude by merely reckoning fifteen

degrees for each hour of time, and fractions of the hour in that

proportion.

It will be noted that this observation has value for the purpose

in question only in conjunction with certain tables in which the

movements of Jupiter and its satellite are calculated in advance. This

is equally true of the various other observations through which the

same information may be obtained--as for example, the observation of a

transit of Mars, or the measurement of apparent distance between the

moon and a given fixed star. Before the tables giving such computations

were published it was quite impossible to determine the exact longitude

of any transatlantic place whatsoever. We have already pointed out that

Columbus had only a vague notion as to how far he had sailed when he

discovered land in the West. The same vagueness obtained with all the

explorations of the immediately ensuing generations.

It was not until about the middle of the sixteenth century that

Mercator and his successors brought the art of map-making to

perfection; and the celebrated astronomical tables of the German Mayer,

which served as the foundation for calculations of great importance

to the navigator, were not published until 1753. The first _Nautical

Almanac_, in which all manner of astronomical tables to guide the

navigator were included, was published at the British Royal Observatory

in 1767.

At the present time, a navigator would be as likely to start on a

voyage without compass and sextant as without charts and a _Nautical

Almanac_. Indeed were he to overlook the latter the former would

serve but a vague and inadequate purpose. Yet, as just indicated, this

invaluable adjunct to the equipment of the navigator was not available

until well toward the close of the eighteenth century. But of course

numerous general tables had been in use long before this, else--to

revert to the matter directly in hand--it would not have been possible

to make the above-recorded test in the case of Harrison's famous watch

in the voyage of 1761-62.

ASCERTAINING THE SHIP'S LONGITUDE

In the days before the chronometer was perfected, almost numberless

methods of attempting to determine the longitude of a ship at sea were

suggested. There were astronomers who advocated observation of the

eclipse of Jupiter's satellites; others who championed the method of

so-called lunars--that is to say, calculation based on observation of

the distance of the moon at a given local time from one or another of

certain fixed stars arbitrarily selected by the calculator. Inasmuch as

the seaman could always regulate even a faulty watch from day to day

by observation of the meridian passage of the sun, it was thought that

these observations of Jupiter's satellite or of the moon would serve

to determine Greenwich time and therefore the longitude at which the

observation was made with a fair degree of accuracy. But in practice

it is not easy to observe the eclipse of Jupiter's satellite without a

fair telescope; and it was soon found that the tables for calculating

the course of the moon were by no means reliable, hence theoretically

excellent methods of determining longitude by observation of that body

proved quite unreliable in practice.

It was with the chief aim of bettering our knowledge of the moon's

course through long series of very accurate observations that the Royal

Observatory at Greenwich was founded. Perhaps it was not unnatural

under these circumstances that certain of the Astronomers Royal should

have advocated the method of lunars as the mainstay of the navigator.

In particular Maskelyne, who was in charge of the Observatory in

the latter part of the eighteenth century, was so convinced of

the rationality of this method that he was led to discredit the

achievements of Harrison's watches, and for a long time to exert an

antagonistic influence, which the watchmaker resented bitterly and it

would appear not without some show of reason.

Ultimately, however, the accuracy of the watch, and its

indispensableness in the perfected form of the chronometer, having been

fully demonstrated, the method of lunars became practically obsolete

and the mariner was able to determine his longitude with the aid of

sextant, chronometer, and _Nautical Almanac_, by means of direct

observation of the altitude of the sun by day and of sundry fixed stars

by night, a much simpler calculation sufficing than was required by the

older method.

As the sun is the chief time-measurer, whose rate of passage in a

seeming circumnavigation of the heavens is recorded by the dial of

clock, watch, or chronometer, it would seem as if the simplest

possible method of determining longitude would be found through

observation of the sun's meridian passage. The user of the sextant on

shipboard always makes, if weather permits, a meridian observation

of the sun, and such observation gives him an accurate gauge of the

altitude of the sun at its highest point and hence of his own latitude.

By adjusting the arm of the sextant with which this observation is

made, the observer is able to determine the exact point reached by the

sun in its upward course with all requisite accuracy.

But, unfortunately for his purpose, the sun does not poise for an

instant at the apex of its upward flight and then begin its descent. On

the contrary, its orbit being circular, the course of the sun just at

its highest point is approximately horizontal for an appreciable length

of time, and while the observer therefore has adequate opportunity to

measure with accuracy the highest point reached, he cannot possibly

make sure, within the limits of a considerable fraction of a minute, as

to the precise moment when the center of the sun is on the meridian. He

can, indeed, determine this point with sufficient accuracy for rough

calculations, but modern navigation demands something more than rough

calculations, inasmuch as a variation in time of one minute represents

one-quarter of a degree of longitude, or fifteen nautical miles at the

equator, and such uncertainty as this would imply can by no means be

permitted in the safe navigation of a ship that may be passing through

the water at the rate of a nautical mile in less than three minutes.

It follows that meridian observation of the sun, owing to the necessary

inaccuracy of such observation, is not the ideal method. In point of

fact the sun may be observed for this purpose to much better advantage

when it is at a considerable distance from the meridian, since then

its altitude above the horizon at a given moment is the only point

necessary to be determined. The calculation by which the altitude of

the sun may be translated into longitude is indeed more complicated

in this case; but while spherical trigonometry is involved in the

calculation, the tables supplied by the _Nautical Almanac_ enable the

navigator to make the estimate without the use of any knowledge beyond

that of the simplest mathematics.

MEASURING A DEGREE OF LATITUDE

While these observations tell the navigator his exact location in

degrees of latitude and longitude, such knowledge does not of course

reveal the distance traversed unless the precise length of the degree

itself is known; and this obviously depends upon the size of the

earth. Now we have seen that the earth was measured at a very early

date by Greek and Roman astronomers, but of course their measurements,

remarkable though they were considering the conditions under which

they were made, were but rough approximations of the truth. Numerous

attempts were made to improve upon these early measurements, but it

was not until well into the seventeenth century that a really accurate

measurement was made between two points on the earth's surface, the

difference between which, as measured in degrees and minutes, was

accurately known.

In June of the year 1633, the Englishman Robert Norman made very

accurate observations of the altitude of the sun on the day of the

summer solstice (when of course it is at its highest point in the

heavens); the observation being made with a quadrant several feet

in diameter stationed at a point near the Tower of London. On the

corresponding day of the following year he made similar observations at

a point something like 125 miles south of London, in Surrey. The two

observations determined the exact difference in latitude between the

two points in question.

Norman then undertook a laborious survey, that he might accurately

measure the precise distance in miles and fractions thereof that

corresponded to these known degrees of latitude. He made actual

measurements with the chain for the most part, but in a few places

where the topography offered peculiar difficulties he was obliged to

depend upon the primitive method of pacing.

The modern surveyor, equipped with instruments for the accurate

measuring of angles, not differing largely in principle from the

quadrant of the navigator, would consider Norman's method of

measurement a very clumsy one. He would measure only a single original

base line of any convenient length, but would make that measurement

with very great accuracy, using, perhaps, a rod packed in ice that

it might not vary in length by even the fraction of an inch through

changes in temperature. An accurate base line thus secured, he

would depend thereafter on the familiar method of triangulation, in

which angles are measured very accurately, and from such measurement

the length of the sides of the successive triangles determined by

simple calculation. In the end he would thus have made the most

accurate determination of the distance involved, without having

actually measured any portion thereof except the original base line.

Notwithstanding the crudity of Norman's method, however, his estimate

of the actual length of a degree of the earth's surface was correct,

as more recent measurements have demonstrated, within twelve yards--a

really remarkable result when it is recalled that the total length of

the degree is about sixty nautical miles.

Inasmuch as the earth is not precisely spherical, but is slightly

flattened at the poles, successive degrees of latitude are not

absolutely uniform all along a meridian, but decrease slightly as the

poles are approached. The deviation is so slight, however, that for

practical purposes the degree of latitude may be considered as an

unvarying unit. But obviously such is not the case with a degree of

longitude. The most casual glance at a globe on which the meridian

lines are drawn, shows that these lines intersect at the poles, and

that the distance between them is, in the nature of the case, different

at each successive point between poles and equator. It is only at the

equator itself that a degree of longitude represents 1/360 of the

earth's circumference. Everywhere else the parallels of latitude cut

the meridians in what are termed small circles--that is to say, circles

that do not represent circumference lines in the plane of the earth's

center. Therefore while all points on any given meridian of longitude

are equally distant in terms of degrees and minutes of arc from the

meridian of Greenwich, the actual distances from that meridian of the

different points as measured in miles will depend entirely upon their

latitude.

At the equator each degree of longitude corresponds to (approximately)

sixty miles, but in the middle latitudes traversed for example by the

transatlantic lines, a degree of longitude represents only half that

distance; and in the far North the meridians of longitude draw closer

and closer together until they finally converge, and at the poles all

longitudes are one.

It follows, then, that the navigator must always know both his latitude

and his longitude in order to estimate the exact distance he has

sailed. We have seen that a single instrument, the sextant, enables

him to make the observations from which both these essentials can be

determined. We must now make further inquiry as to the all important

guide without the aid of which his observations, however accurately

made, would avail him little. This guide, as already pointed out, is

found in the set of tables known as the _Nautical Almanac_.

THE NAUTICAL ALMANAC

Had the earth chanced to be poised in space with its axis exactly at

right angles to its plane of revolution, many computations of the

astronomer would be greatly simplified. Again, were the planetary

course circular instead of elliptical, and were the earth subject to

no gravitational influences except that of the sun and moon, matters

of astronomical computation would be quite different from what they

are. But as the case stands, the axis of the earth is not only tipped

at an angle of about twenty-three degrees, but is subject to sundry

variations, due to the wobbling of the great top as it whirls.

Then the other planets, notably the massive Jupiter, exert a perverting

influence which constantly interferes with the regular progression of

the earth in its annual tour about the sun. A moment's reflection makes

it clear that the gravitation pull of Jupiter is exerted sometimes in

opposition to that of the sun, whereas at other times it is applied in

aid of the sun, and yet again at various angles. In short, on no two

successive days--for that matter no two successive hours or minutes--is

the perturbing influence of Jupiter precisely the same.

What applies to the earth applies also, of course, to the varying

action of Jupiter on the moon and to the incessantly varied action of

the moon itself upon the earth. All in all, then, the course of our

globe is by no means a stable and uniform one; though it should be

understood that the perturbations are at most very slight indeed as

compared with the major motions that constitute its regular action and

lead to the chief phenomena of day and night and the succession of the

seasons.

Relatively slight though the perturbations may be, however, they are

sufficient to make noteworthy changes in the apparent position of the

sun and moon as viewed with modern astronomical instruments; and they

can by no means be ignored by the navigator who will determine the

position of his ship within safe limits of error. And so it has been

the work of the practical astronomers to record thousands on thousands

of observations, giving with precise accuracy the location of sun,

moon, planets, and various stars at given times; and these observations

have furnished the basis for the elaborate calculations of the

mathematical astronomers upon which the tables are based that in their

final form make up the _Nautical Almanac_, to which we have already

more than once referred.

These calculations take into account the precise nature of the

perturbing influences that are exerted on the earth and on the moon

on any given day, and hence lead to the accurate prediction as to the

exact relative positions of these bodies on that day. Stated otherwise,

they show the precise position in the heavens which will be held at

any given time by the sun for example, or by the important planets,

as viewed from the earth. How elaborate these computations are may be

inferred from the statement that the late Professor Simon Newcomb used

about fifty thousand separate and distinct observations in preparing

his tables of the sun. Once calculated, however, these tables of

Professor Newcomb are so comprehensive as to supply data from which the

exact position of the sun can be found for any day between the years

1200 B.C. and 2300 A.D., a stretch of some thirty-five centuries.

Such a statement makes it clear how very crude and vague the

deductions must have been from the observations of navigators, however

accurately made, prior to the time when such tables as those of the

_Nautical Almanac_ had been prepared. Fully to appreciate this, it

is necessary to understand that the observations supplied in such

profusion for the use of the mathematical astronomer are in themselves

subject to errors that might seriously vitiate the results of the final

computation. They must, therefore, be made with the utmost accuracy,

and with instruments specially prepared for the purpose. The chief

of these instruments is not the gigantic telescope but the small

and relatively simple apparatus known as a transit instrument. This

constitutes essentially a small telescope poised on very carefully

adjusted trunnions, in such a way that it revolves in a vertical

axis, bringing into view any celestial body that is exactly on the

meridian, and bodies in this position only. To make observation of

the transit--that is to say the passage across the meridian line--of

any given body more accurate, the transit instrument has stretched

vertically across the center of its field of vision a spider web, or a

series of parallel spider webs; in order, in the latter case, that the

mean time of several observations may be taken.

So exceedingly difficult is it to manufacture and mount an instrument

of requisite nicety of adjustment, that the effort has almost baffled

the ingenuity of the mechanic. Sir George Airy, in making a transit

instrument for use at the Royal Observatory at Greenwich, required the

trunnions on which it was to be mounted to be ground truly cylindrical

in form within a variation of one thirty-two-thousandth of an inch

as determined by a delicate spirit level. Even when all but absolute

decision has been obtained, however, it is quite impossible to maintain

it, as the slightest variation of temperature--due perhaps to the

application of the hand to one of the pillars on which the trunnions

rest--may disturb the precise direction of the spider webs and so

militate against absolute accuracy of observation. The instrument must,

therefore, be constantly tested and its exact range of errors noted and

allowed for.

To devote so much labor to details, merely in the effort to determine

the precise moment at which a star or planet crosses the meridian,

would seem to be an absurd magnification of trifles. But when we

reflect that the prime object of such observations is to supply

practical data which will be of service in enabling navigators on all

the seas of the globe to bring their ships safely to port, the matter

takes on quite another aspect. We have here, obviously, another and

a very striking illustration of the close relationship that obtains

between the work of the theoretical devotee of science and that of the

practical man of affairs.

SOUNDINGS AND CHARTS

Though the navigator, thanks to his compass, sextant, and _Nautical

Almanac_, may determine with a high degree of precision his exact

location, yet even the best observations do not enable him to approach

a coast without safeguarding his ship by the use of another piece of

mechanism calculated to test the depth of the waters in which he finds

himself at any given moment. In its most primitive form--in which form,

by the bye, it is still almost universally employed--this apparatus is

called the lead,--so called with much propriety because it consists

essentially of a lump of lead or other heavy weight attached to a small

rope. Knots in the rope enable the sailor who manipulates the lead to

note at a glance the depth to which it sinks. Most ocean travelers have

seen a sailor heaving the lead repeatedly at the side of the ship and

noting the depth of the water, particularly as the ship approached the

Long Island shore.

While this simple form of lead suffices for ordinary purposes, when

the chief information sought is as to whether the water is deeper than

the draft of the ship, it is at best only a rough and ready means of

testing the depth in relatively shallow waters. For deeper waters and

to test with greater accuracy the depths of uncharted regions, and in

particular to determine the character of the sea bottom at any given

place, more elaborate apparatuses are employed. One of the most useful

of these is the invention of the late Lord Kelvin. In this the lead

is replaced by a cannon ball, perforated and containing a cylinder

which is detached when the weight reaches the bottom and is drawn to

the surface filled with sand or mud, the cannon ball remaining at the

bottom. In another form of patent lead, a float becomes detached so

soon as the weight strikes the bottom and comes at once to the surface,

thus recording the fact that the bottom has been reached,--a fact not

always easy to appreciate by the mere feel of the line when the water

is fairly deep.

It is obvious that however well informed the navigator may be as to

his precise latitude and longitude, he can feel no safety unless he

is equally well informed as to the depth of the water, the proximity

of land, the presence or absence of shallows in the region, and the

like. He must, therefore, as a matter of course, be provided with maps

and charts on which these things are recorded. From the days when

navigation first became a science, unceasing efforts have been made

to provide such maps and charts for every known portion of the globe.

Geographical surveys, with the aid of the method of triangulation, have

been made along all coasts, and elaborate series of soundings taken for

a long distance from the coast line, and there are now few regions into

which a ship ordinarily sails, or is likely to be carried by accident,

for which elaborate charts, both of coast lines and of soundings, have

not been provided. The experienced navigator is able to direct his ship

with safety along coasts that he visits for the first time, or to enter

any important harbor on the globe without requiring the services of a

local pilot,--albeit the desire to take no undue risk makes it usual to

accept such services.

Time was, however, when maps and charts were not to be had, and when

in consequence the navigator who started on his voyages of exploration

was undertaking a feat never free from hazard. Until the time of

Mercator there was not even uniformity of method among map makers in

the charting of regions that had been explored. The thing seems simple

enough now, thanks to the maps with which every one has been familiar

since childhood. But it required no small exercise of ingenuity to

devise a reasonably satisfactory method of representing on a flat

surface regions that in reality are distributed over the surface of a

globe. The method devised by Mercator, and which, as everyone knows, is

now universally adopted, consists in drawing the meridians as parallel

lines, giving therefore a most distorted presentation of the globe, in

which the distance between the meridians at the poles--where in reality

there is no distance at all--is precisely as great as at the equator.

To make amends for this distortion, the parallels of latitude are not

drawn equidistant, as in reality they practically are on the globe, but

are spaced farther and farther apart, as we advance from the equator

toward either pole. The net result is that an island in the arctic

region would be represented on the map several times as large as an

island actually the same size but located near the equator. Doubtless

most of us habitually conceive Alaska and Greenland to be vastly more

extensive regions than they really are, because of our familiarity with

maps showing this so-called "Mercator's projection."

Of course maps are also made that hold to the true proportions,

representing the lines of latitude as equidistant and the meridians of

longitude as lines converging to a point at the poles. But while such

a map as this has certain advantages--giving, for example, a correct

notion of the relative sizes of polar and other land masses--it is

otherwise confusing inasmuch as places that really lie directly in

the north and south line cannot be so represented except just at the

middle of the map, and it is very difficult for the ordinary user of

the map to gain a clear notion as to the actual points of the compass.

A satisfactory compromise may be effected, however, by using Mercator's

projection for maps showing wide areas, while the other method is

employed for local maps.

THE LURE OF THE UNKNOWN

While the average man, even with well developed traveling instincts,

would perhaps prefer always to feel that he is sailing in well charted

waters and along carefully surveyed coasts, there have been in every

generation men who delighted in taking risks, and for whom half the

charm of a voyage must always lie in its dangers. Such men have been

the pioneers in exploring the new regions of the globe. That there was

no dearth of such restless spirits in classical times and even in the

dark ages, records that have come down to us sufficiently attest. For

the most part, however, their names have not been preserved to us. But

since the ushering in of the period which we to-day think of as the

beginning of modern times, records have been kept of all important

voyages of discovery, and at least the main outlines of the story of

the conquest of the zones are familiar to everyone.

Some of the earliest explorers, most notable among whom was the

Italian Marco Polo, traveled eastward from the Mediterranean and

hence journeyed largely by land. But soon afterward, thanks to

the introduction of the compass,--which instrument Marco Polo has

sometimes been mistakenly accredited with bringing from the East,--the

adventurers began to cast longing eyes out toward the western

horizons. Among the first conspicuous and inspiriting results were the

discoveries of the groups of islands known as the Cape Verdes and the

Azores. The Canary Islands were visited by Spaniards even earlier, and

became the subject of controversy with the other chief maritime nation

of the period, the Portuguese.

When the controversy was adjusted the Spaniards were left in possession

of the Canaries, but the Portuguese were given by treaty the exclusive

right to explore the coast of Africa. Following up sundry tentative

efforts, the daring Portuguese navigator, Bartholomeo Dias, in the

year 1487, passed to the southern-most extremity of Africa, which he

christened the Cape of Good Hope. At last, then, it had been shown

that Africa did not offer an interminable barrier to the passage to

the fabled land of treasures in the East. Before anyone had ventured

to follow out the clues which the discovery of the Cape had presented,

however, Columbus had seemingly solved the problem in another way by

sailing out boldly into the West and supposedly coming to the East

Indies in 1492.

The western route was barred to the Portuguese but the eastern one

remained open to them, and before the close of the century Vasco da

Gama had set out on the voyage that ultimately led him to India by way

of the Cape (1497-1500 A.D.). Twenty years later another Portuguese

navigator, Magellan by name, started on what must ever remain the most

memorable of voyages, save only that of Columbus. Magellan rounded the

southern point of South America and in 1521 reached the Philippines,

where he died. His companions continued the voyage and accomplished

ultimately the circumnavigation of the globe; and in so doing afforded

the first unequivocal practical demonstration, of a character

calculated to appeal to the generality of uncultured men of the time,

that the world is actually round.

Two routes from Europe to the Indies had thus been established, but

both of them were open to the objection that they necessitated long

detours to the South. To the geographers of the time it seemed more

than probable that a shorter route could be established by sailing

northward and coasting along the shores either of Europe to the East

or--what seemed more probable--of America to the West. Toward the

close of the sixteenth century the ships of the Dutch navigators had

penetrated to Nova Zembla, and a few years later Henry Hudson visited

Spitzbergen, thus inaugurating the long series of arctic expeditions.

Then Hudson, still sailing under the Dutch flag, made heroic efforts to

find the fabled northwest passage, only to meet his doom in the region

of the Bay that has since borne his name.

THE QUEST OF THE POLE

This was in the year 1610. For long generations thereafter successors

of Hudson were to keep up the futile quest; and when finally it

had been clearly established that no northwest passage to the

Pacific could be made available, owing to the climate, the zest for

arctic exploration did not abate, but its goal was changed from the

hypothetical northwest passage to the geographical pole.

Henry Hudson had in his day established a farthest North record of

about the eighty-second parallel of latitude--leaving only about five

hundred miles to be traversed. But three centuries were required in

which to compass this relatively small gap. Expedition after expedition

penetrated as far as human endurance under given conditions could carry

it. Some of the explorers returned with vivid tales of the rigors of

the arctic climate; others fell victim to conditions that they could

not overcome. But the seventeenth, eighteenth, and nineteenth centuries

passed and left the "Boreal Center" undiscovered.

Toward the close of the nineteenth century the efforts of explorers

seemed to be redoubled and one famous expedition after another

established new records of "farthest North." The names of Nansen, the

Duke of the Abruzzi, and Peary, became familiar to a generation whose

imagination seemed curiously in sympathy with that lure of the North

which determined the life activities of so many would-be discoverers.

So when in the early Autumn of 1909 it was suddenly announced that two

explorers in succession had at last, in the picturesque phrasing of one

of them, "penetrated the Boreal Center and plucked the polar prize,"

the popular mind was stirred as it has seldom been by any other event

not having either a directly personal or an international political

significance.

The two men whose claims to have discovered the pole were thus

announced in such spectacular fashion, were Dr. Frederick A. Cook,

of Brooklyn, and Lieutenant Commander Robert E. Peary, of the United

States Navy. Dr. Cook claimed to have reached the pole, accompanied

only by two Eskimo companions, on the twenty-first day of April, 1908.

Commander Peary reported that he had reached the pole, accompanied by

Mr. Matthew H. Henson and four Eskimos, on the seventh day of April,

1909.

The controversy that ensued regarding the authenticity of these

alleged discoveries is not likely to be forgotten by any reader of our

generation. Its merits and demerits have no particular concern for the

purely scientific inquirer. At best, as Professor Pickering of Harvard

is reported to have said, "the quest of the pole is a good sporting

event" rather than an enterprise of great scientific significance. It

suffices for our present purpose, therefore, to know that Dr. Cook's

records, as adjudged by the tribunal of the University of Copenhagen,

to which they were sent, were pronounced inadequate to demonstrate the

validity of his claim; whereas Peary and Henson were adjudged by the

American Geographical Society, after inspection of the records, to have

accomplished what was claimed for them. What has greater interest from

the present standpoint is the question, which the controversy brought

actively to the minds of the unscientific public, as to how tests are

made which determine, in the mind of the explorer himself, the fact of

his arrival at the pole.

The question has, indeed, been largely answered in the earlier pages

of this chapter, in our discussion of the sextant and the _Nautical

Almanac_; for these constitute the essential equipment of the arctic

explorer no less than of the navigators of the seas of more accessible

latitudes. There is one important matter of detail, however, that

remains to be noted. This relates to the manner of using the sextant.

On the ocean, as we have seen, the navigator levels the instrument at

the visible horizon; but it is obvious that on land or on the irregular

ice fields of the arctic seas no visible horizon can be depended upon

as a basis for measuring the altitude of sun or stars. So an artificial

horizon must be supplied.

The problem is solved by the use of a reflecting surface, which may

consist of an ordinary mirror or a dish of mercury. The glass reflector

must be adjusted in the horizontal plane with the aid of spirit levels;

mercury, on the other hand, being liquid, presents a horizontal surface

under the action of gravitation. Unfortunately mercury freezes at

about 39 degrees below zero; it is therefore often necessary for the

arctic explorer to melt it with a spirit lamp before he can make use

of it. These, however, are details aside from which the principles of

use of glass and mercury horizon are identical. The method consists

simply in viewing the reflected image of the celestial body--which in

practice in the arctic regions is usually the sun--and so adjusting the

sextant that the direct image coincides with the reflected one. The

angle thus measured will represent twice the angular elevation of the

body in question above the horizon,--this being, as we have seen, the

information which the user of the sextant desires.

Of course the explorer makes his "dash for the pole" in a season when

the sun is perpetually above the horizon. As he approaches the pole the

course of the sun becomes apparently more and more nearly circular,

departing less and less from the same altitude. Hence it becomes

increasingly difficult to determine by observation the exact time when

the sun is at its highest point. But it becomes less and less important

to do so as the actual proximity of the pole is approached; and as

viewed from the pole itself the sun, circling a practically uniform

course, varies its height in the course of twenty-four hours only

by the trifling amount which represents its climb toward the summer

solstice. Such being the case, an altitude observation of the sun may

be made by an observer at the pole at any hour of the day with equal

facility, and it is only necessary for him to know from his chronometer

the day of the month in order that he may determine from the _Nautical

Almanac_ whether the observation really places him at ninety degrees of

latitude. Nor indeed is it necessary that he should know the exact day

provided he can make a series of observations at intervals of an hour

or two. For if these successive observations reveal the sun at the same

altitude, it requires no _Almanac_ and absolutely no calculation of any

kind to tell him that his location is that of the pole.

The observation might indeed be made with a fair degree of accuracy

without the use of the sextant or of any astronomical equivalent

more elaborate than, let us say, an ordinary lead pencil. It is only

necessary to push the point of the pencil into a level surface of ice

or snow and leave it standing there in a vertical position. If, then,

the shadow cast by the pencil is noted from time to time, it will be

observed that its length is always the same; that, in other words,

the end of the shadow as it moves slowly about with the sun describes

a circle in the course of twenty-four hours. If the atmospheric

conditions had remained uniform, so that there was no variation in the

amount of refraction to which the sun's rays were subjected, the circle

thus described would be almost perfect, and would in itself afford a

demonstration that would appeal to the least scientific of observers.

An even more simple demonstration might be made by having an Eskimo

stand in a particular spot and marking the length of his shadow as cast

on a level stretch of ice or snow. Just twelve hours later let the

Eskimo stand at the point where a mark had been made to indicate the

end of the shadow, and it would be found that his present shadow--cast

now, of course, in the opposite direction--would reach exactly to the

point where he had previously stood. The only difficulty about this

simple experiment would result from the fact that the sun is never

very high as viewed from the pole and therefore the shadow would

necessarily be long. It might therefore be difficult to find a level

area of sufficient extent on the rough polar sea. In that case another

measurement similar in principle could be made by placing a pole

upright in the snow or ice and marking on the pole the point indicated

by the shadow of an Eskimo standing at any convenient distance away.

At any interval thereafter, say six or twelve hours, repeat the

experiment, letting the man stand at the same distance from the pole as

before, and his shadow will be seen to reach to the same mark.

Various other simple experiments of similar character may be devised,

any of which would appeal to the most untutored intelligence as

exhibiting phenomena of an unusual character. Absolutely simple as

these experiments are, they are also, within the limits of their

accuracy, absolutely demonstrative. There are only two places on the

globe where the shadow of the upright pencil would describe a circle,

or where the man's shadow would be of the same length at intervals of

twelve hours, or would reach to the same height on a pole in successive

hours. These two regions are of course the poles of the earth. It may

reasonably be expected that explorers who reach the poles will make

some such experiments as these for the satisfaction of their untrained

associates, to whom the records of the sextant would be enigmatical.

But for that matter even an Eskimo could make for himself a measurement

by using only a bit of a stick held at arm's length--as an artist

measures the length of an object with his pencil--that would enable

him to make reasonably sure that the sun was at the same elevation

throughout the day--subject, however, to the qualification that the

polar ice was sufficiently level to provide a reasonably uniform

horizon.

While, therefore, it appears that the one place of all others at which

it would be exceedingly easy to determine one's position from the

observation of the sun is the region of the pole, it must be borne in

mind that the low elevation of the sun, and the extreme cold may make

accurate instrumental observations difficult; and it is conceivable

that the explorer who had the misfortune to encounter cloudy weather,

and who therefore gained only a brief view of the sun, might be left

in doubt as to whether he had really reached the goal of his ambition.

Fortunately, however, the explorers who thus far claim to have reached

the pole record uninterruptedly fair weather, enabling observations to

be taken hour after hour. Under these circumstances, there could be no

possibility of mistake as to the general location, although perhaps no

observation, under the existing conditions, could make sure of locating

the precise position of the pole within a few miles.

A curious anomaly incident to the unique geographical location of

the pole is that to the observer stationed there all directions are

directly south. Yet of course all directions are not one, and the query

may arise as to how an explorer who has reached the pole may know in

what direction to start on his return voyage. The answer is supplied

by the compass, which--perforce pointing straight south--indicates the

position of the magnetic pole and so makes clear in which direction

lies the coast of Labrador. Moreover if the explorer is provided with

reliable chronometers, which of course record the time at a given

meridian--say that of Greenwich--these will enable him to determine by

the simplest calculation what particular region lies directly beneath

the sun at any given time. If, for example, his chronometer shows five

o'clock Greenwich time, he knows that the sun's position, as observed

at the moment, marks the meridian five hours (_i.e._, 75° of longitude)

west of Greenwich.

While the arctic region appears thus to have given up its last secret,

this is not as yet true of the antarctic. The expedition of Lieutenant

(now Sir Ernest) Shackleton, in 1908, approached within about one

hundred and eleven miles of the South Pole. The intervening space--less

than two degrees in extent--represents, therefore, the only stretch of

latitude on the earth's surface that has not been trodden by man's foot

or crossed by his ships. More than one expedition is being planned to

explore this last remaining stronghold, and in all probability not many

years--perhaps not many months--will elapse before the little stretch

of ice that separated Lieutenant Shackleton from the South Pole will be

crossed, and man's conquest of the zones will be complete.

II

THE HIGHWAY OF THE WATERS

There is no doubt that the use of sails for propelling boats is as old

as civilization itself. We know that the Egyptians used sails at least

4,000 years before the Christian era. They did not depend entirely upon

the sails, however, but used oars in combination with them. Steering

was done with single or double oars lashed to the stern and controlled

by ropes or levers. This method of steering remained in use until late

in the Middle Ages, the invention of the rudder being one of the few

nautical inventions made during the centuries immediately following

that unproductive period of history known as the Dark Age.

Following the Egyptians, the Phœnicians were the greatest maritime

nation of ancient times, but unfortunately they have left no very

satisfactory and authentic records describing their boats. In all

probability, however, their ships were galleys having one or two banks

of oars, fitted with sails similar to those of the Egyptians.

If our knowledge of Phœnician boats is meager, our knowledge of Greek

boats, particularly the fighting craft, is correspondingly full. From

the nature of its geographical location Greece was necessarily a

maritime nation, and it was here that boat-building reached a very

high state of development during the period of Greek predominance.

Large ships fitted with sails and having several banks of rowers were

used habitually in commerce and war, and it was here also that the

management of sails became so well understood that oars were often

dispensed with except as auxiliaries.

It was in Greece that the custom of having several banks of oars

superimposed reached its highest development, but the fabulous number

of such banks credited by some authors seems to be entirely without

foundation. It is possible that as many as seven banks were used,

although the evidence in favor of more than five is very slight.

The writings of Callixenos describe a ship said to have been used by

Ptolemy Philopater, which was a forty-banker. This ship is described as

450 feet long, 57 feet broad, carrying a crew of about 7,000 men, of

whom 4,000 were rowers. This description need not be taken seriously,

as there is no proof that boats of such proportions were ever attempted

in ancient times. But it is certain that the Greeks did build large

vessels, some of them at least one hundred and fifty feet long--perhaps

even larger than this. The tendency of shipbuilders during the later

Greek period was to build large, unwieldy boats, which used sails

under favorable circumstances, but depended entirely upon oars for

manœuvering in battle.

The Romans used similar vessels of large size until the time of the

battle of Actium, where the clumsy, many-banked ships of Antony and

Cleopatra were destroyed by the lighter single- or double-banked

vessels of Augustus. Augustus had adopted the low, swift, handy vessels

of a piratical people, the Liburni, who had learned in their sea fights

against all kinds of vessels that the lighter type of boat could be

used most effectively. Structurally the hulls of these boats were not

unlike modern wooden vessels.

While the various types of vessels were being developed in the

Mediterranean region, a race of mariners far to the north were

perfecting boats in which they were destined to overrun the Western

seas from the tropics to the arctic circle. These people, the Norsemen,

left few written descriptions that give a good idea of the construction

of their boats, which were sufficiently seaworthy to enable the Danes

to cross the Atlantic and colonize America. But thanks to one of their

peculiar burial customs some of their smaller boats have been preserved

and brought to light in recent years. It was their custom when a great

chief died, to bury him in a ship, heaping earth over it to form a

great mound. In most instances the wood of such boats, buried for a

thousand years, has entirely disappeared; but in some mounds the boats

have been preserved almost intact.

From the specimens so preserved it is known that the Norsemen knew

how to shape the hulls of their boats almost as well as the modern

boat-builder. This fact is interesting because the immediate successors

of the Norsemen, either through ignorance or choice, reverted to most

primitive types in building their boats. Thus it required centuries for

them to develop a knowledge of hull-construction that was familiar in

ancient times to the northern rovers. Scandinavia itself never entirely

forgot the art, and there are boats built in Norway to-day closely

similar in all essentials to some of the boats constructed by the

Norsemen.

MEDIÆVAL SHIPS

The contrast in shape and construction between the trim ships of the

Norsemen and the short, top-heavy vessels which were the approved

European type during the early Middle Ages, is most striking. The

Mediæval shipbuilders in striving to improve their craft, making them

as seaworthy and as spacious as possible, first added decks, and then

built towering superstructures at bow and stern. The result was a

vessel which would have been so top-heavy that it would be likely to

capsize had it not been so broad that "turning turtle" was out of the

question.

It was in such ships that Columbus made his voyage of discovery in

1492, although the superstructures fore and aft on his boat were

less exaggerated than in some later vessels. Nevertheless they were

veritable "tubs"; and we know from the experience of the crew that

sailed the replica of the _Santa Maria_ across the ocean in 1893, that

they were anything but comfortable craft for ocean traveling.

This replica of the _Santa Maria_ was reproduced with great fidelity

by the Spanish shipbuilders, and, manned by a Spanish crew, crossed

the ocean on a course exactly following that taken by Columbus on his

first voyage. Sir George Holmes' terse description of this voyage is

sufficiently illuminating without elaboration. "The time occupied was

thirty-six days," he says; "and the maximum speed attained was about 6½

knots. The vessel pitched horribly!"

Two full centuries before the discovery of America the rudder had

been invented. There is no record to show who was responsible for

this innovation, although its superiority over the older steering

appliances must have been appreciated fully. But after the beginning of

the fourteenth century the rudder seems to have come into general use,

entirely supplanting the older side-rudder, or clavus.

MODERN SAILING SHIPS

For a full century after the voyage of Columbus little progress was

made in ship construction; short, stocky boats, with many decks high

above the water-line at bow and stem continuing to be the most popular

type. In the opening years of the seventeenth century, however,

the English naval architect, Phineas Pett, departed from many of

the accepted standards of his time, and produced ships not unlike

modern full-rigged sailing vessels, except that the stern was still

considerably elevated, and the bow of peculiar construction. One of

Pett's ships, _The Sovereign of the Seas_, was a vessel 167 feet long,

with 48 foot beam, and of 1,683 tons burthen. The introduction of this

type of vessel was a distinct step forward toward modern shipbuilding.

[Illustration: THE OLD AND THE NEW--A CONTRAST

The replica of Henry Hudson's famous _Half Moon_, a typical fighting

ship of the 16th century, and a modern submarine. The photograph

was taken in New York Harbor during the Hudson-Fulton celebration,

September, 1909.]

Every-day Science: Volume 7. The Conquest of Time and Space · 第 10 / 14 章