Hipparchus

Among the astronomers of antiquity, two great men stand out with

unchallenged pre-eminence. Hipparchus and Ptolemy entertained the same

large organic designs; they worked on similar methods; and, as the

outcome, their performances fitted so accurately together that between

them they re-made celestial science. Hipparchus fixed the chief data of

astronomy--the lengths of the tropical and sidereal years, of the

various months, and of the synodic periods of the five planets;

determined the obliquity of the ecliptic and of the moon's path, the

place of the sun's apogee, the eccentricity of his orbit, and the moon's

horizontal parallax; all with approximate accuracy. His loans from

Chaldaean experts appear, indeed, to have been numerous; but were

doubtless independently verified. His supreme merit, however, consisted

in the establishment of astronomy on a sound geometrical basis. His

acquaintance with trigonometry, a branch of science initiated by him,

together with his invention of the planisphere, enabled him to solve a

number of elementary problems; and he was thus led to bestow especial

attention upon the position of the equinox, as being the common point of

origin for measures both in right ascension and longitude. Its steady

retrogression among the stars became manifest to him in 130 B.C., on

comparing his own observations with those made by Timocharis a century

and a half earlier; and he estimated at not less than 36" (the true

value being 50") the annual amount of "precession."

The choice made by Hipparchus of the geocentric theory of the universe

decided the future of Greek astronomy. He further elaborated it by the

introduction of "eccentrics," which accounted for the changes in orbital

velocity of the sun and moon by a displacement of the earth, to a

corresponding extent, from the centre of the circles they were assumed

to describe. This gave the elliptic inequality known as the "equation of

the centre," and no other was at that time obvious. He attempted no

detailed discussion of planetary theory; but his catalogue of 1080

stars, divided into six classes of brightness, or "magnitudes," is one

of the finest monuments of antique astronomy. It is substantially

embodied in Ptolemy's _Almagest_ (see PTOLEMY).

Ptolemy.

An interval of 250 years elapsed before the constructive labours of

Hipparchus obtained completion at Alexandria. His observations were

largely, and somewhat arbitrarily, employed by Ptolemy. Professor

Newcomb, who has compiled an instructive table of the equinoxes

severally observed by Hipparchus and Ptolemy, with their errors deduced

from Leverrier's solar tables, finds palpable evidence that the

discrepancies between the two series were artificially reconciled on the

basis of a year 6^m too long, adopted by Ptolemy on trust from his

predecessor. He nevertheless holds the process to have been one that

implied no fraudulent intention.

Arab astronomers.

The Ptolemaic system was, in a geometrical sense, defensible; it

harmonized fairly well with appearances, and physical reasonings had not

then been extended to the heavens. To the ignorant it was recommended by

its conformity to crude common sense; to the learned, by the wealth of

ingenuity expended in bringing it to perfection. The _Almagest_ was the

consummation of Greek astronomy. Ptolemy had no successor; he found only

commentators, among the more noteworthy of whom were Theon of Alexandria

(fl. A.D. 400) and his daughter Hypatia (370-415). With the capture of

Alexandria by Omar in 641, the last glimmer of its scientific light

became extinct, to be rekindled, a century and a half later, on the

banks of the Tigris. The first Arabic translation of the _Almagest_ was

made by order of Harun al-Rashid about the year 800; others followed,

and the Caliph al-Mamun built in 829 a grand observatory at Bagdad. Here

Albumazar (805-885) watched the skies and cast horoscopes; here Tobit

ben Korra (836-901) developed his long unquestioned, yet misleading

theory of the "trepidation" of the equinoxes; Abd-ar-rahman al-Suf

(903-986) revised at first hand the catalogue of Ptolemy;[13] and

Abulwefa (939-998), like al-Sufi, a native of Persia, made continuous

planetary observations, but did not (as alleged by L. Sedillot)

anticipate Tycho Brahe's discovery of the moon's variation. Ibn Junis

(c. 950-1008), although the scene of his activity was in Egypt, falls

into line with the astronomers of Bagdad. He compiled the Hakimite

Tables of the planets, and observed at Cairo, in 977 and 978, two solar

eclipses which, as being the first recorded with scientific

accuracy,[14] were made available in fixing the amount of lunar

acceleration. Nasir ud-din (1201-1274) drew up the Ilkhanic Tables, and

determined the constant of precession at 51". He directed an observatory

established by Hulagu Khan (d. 1265) at Maraga in Persia, and equipped

with a mural quadrant of 12 ft. radius, besides altitude and azimuth

instruments. Ulugh Beg (1394-1449), a grandson of Tamerlane, was the

illustrious personification of Tatar astronomy. He founded about 1420 a

splendid observatory at Samarkand, in which he re-determined nearly all

Ptolemy's stars, while the Tables published by him held the primacy for

two centuries.[15]

Moorish Astronomy.

European Astronomy.

Purbach.

Walther.

Arab astronomy, transported by the Moors to Spain, flourished

temporarily at Cordova and Toledo. From the latter city the Toletan

Tables, drawn up by Arzachel in 1080, took their name; and there also

the Alfonsine Tables, published in 1252, were prepared under the

authority of Alphonso X. of Castile. Their appearance signalized the

dawn of European science, and was nearly coincident with that of the

_Sphaera Mundi_, a text-book of spherical astronomy, written by a

Yorkshireman, John Holywood, known as Sacro Bosco (d. 1256). It had an

immense vogue, perpetuated by the printing-press in fifty-nine editions.

In Germany, during the 15th century, a brilliant attempt was made to

patch up the flaws in Ptolemaic doctrine. George Purbach (1423-1461)

introduced into Europe the method of determining time by altitudes

employed by Ibn Junis. He lectured with applause at Vienna from 1450;

was joined there in 1452 by Regiomontanus (q.v.); and was on the point

of starting for Rome to inspect a manuscript of the _Almagest_ when he

died suddenly at the age of thirty-eight. His teachings bore fruit in

the work of Regiomontanus, and of Bernhard Walther of Nuremberg

(1430-1504), who fitted up an observatory with clocks driven by weights,

and developed many improvements in practical astronomy.

Copernicus.

Meantime, a radical reform was being prepared in Italy. Under the

searchlights of the new learning, the dictatorship of Ptolemy appeared

no more inevitable than that of Aristotle; advanced thinkers like

Domenico Maria Novara (1454-1504) promulgated _sub rosa_ what were

called Pythagorean opinions; and they were eagerly and fully

appropriated by Nicolaus Copernicus during his student-years (1496-1505)

at Bologna and Padua. He laid the groundwork of his heliocentric theory

between 1506 and 1512, and brought it to completion in _De

Revolutionibus Orbium Coelestium_ (1543). The colossal task of remaking

astronomy on an inverted design was, in this treatise, virtually

accomplished. Its reasonings were solidly founded on the principle of

the relativity of motion. A continuous shifting of the standpoint was in

large measure substituted for the displacements of the objects viewed,

which thus acquired a regularity and consistency heretofore lacking to

them. In the new system, the sphere of the fixed stars no longer

revolved diurnally, the earth rotating instead on an axis directed

towards the celestial pole. The sun too remained stationary, while the

planets, including our own globe, circulated round him. By this means,

the planetary "retrogradations" were explained as simple perspective

effects due to the combination of the earth's revolutions with those of

her sister orbs. The retention, however, by Copernicus of the antique

postulate of uniform circular motion impaired the perfection of his

plan, since it involved a partial survival of the epicyclical machinery.

Nor was it feasible, on this showing, to place the sun at the true

centre of any of the planetary orbits; so that his ruling position in

the midst of them was illusory. The reformed scheme was then by no means

perfect. Its simplicity was only comparative; many outstanding anomalies

compromised its harmonious working. Moreover, the absence of sensible

parallaxes in the stellar heavens seemed inconsistent with its validity;

and a mobile earth outraged deep-rooted prepossessions. Under these

disadvantageous circumstances, it is scarcely surprising that the

heliocentric theory, while admired as a daring speculation, won its way

slowly to acceptance as a truth.

Observatory of Cassel.

The _Tabulae Prutenicae_, calculated on Copernican principles by Erasmus

Reinhold (1511-1553), appeared in 1551. Although they represented

celestial movements far better than the Alfonsine Tables, large

discrepancies were still apparent, and the desirability of testing the

novel hypothesis upon which they were based by more refined observations

prompted a reform of methods, undertaken almost simultaneously by the

landgrave William IV. of Hesse-Cassel (1532-1592), and by Tycho Brahe.

The landgrave built at Cassel in 1561 the first observatory with a

revolving dome, and worked for some years at a star-catalogue finally

left incomplete. Christoph Rothmann and Joost Burgi (1552-1632) became

his assistants in 1577 and 1579 respectively; and through the skill of

Burgi, time-determinations were made available for measuring right

ascensions. At Cassel, too, the altitude and azimuth instrument is

believed to have made its first appearance in Europe.[16]

Tycho Brahe.

Tycho's labours were both more strenuous and more effective. He

perfected the art of pre-telescopic observation. His instruments were on

a scale and of a type unknown since the days of Nasir ud-din. At

Augsburg, in 1569, he ordered the construction of a 19-ft. quadrant, and

of a celestial globe 5 ft. in diameter; he substituted equatorial for

zodiacal armillae, thus definitively establishing the system of

measurements in right ascension and declination; and improved the

graduation of circular arcs by adopting the method of "transversals." By

these means, employed with consummate skill, he attained an

unprecedented degree of accuracy, and as an incidental though valuable

result, demonstrated the unreality of the supposed trepidation of the

equinoxes.

Kepler.

No more congruous arrangement could have been devised than the

inheritance by Johann Kepler of the wealth of materials amassed by Tycho

Brahe. The younger man's genius supplied what was wanting to his

predecessor. Tycho's endowments were of the practical order; yet he had

never designed his observations to be an end in themselves. He thought

of them as means towards the end of ascertaining the true form of the

universe. His range of ideas was, however, restricted; and the attempt

embodied in his ground-plan of the solar system to revive the ephemeral

theory of Heraclides failed to influence the development of thought.

Kepler, on the contrary, was endowed with unlimited powers of

speculation, but had no mechanical faculty. He found in Tycho's ample

legacy of first-class data precisely what enabled him to try, by the

touchstone of fact, the successive hypotheses that he imagined; and his

untiring patience in comparing and calculating the observations at his

disposal was rewarded by a series of unique discoveries. He long adhered

to the traditional belief that all celestial revolutions must be

performed equably in circles; but a laborious computation of seven

recorded oppositions of Mars at last persuaded him that the planet

travelled in an ellipse, one focus of which was occupied by the sun.

Pursuing the inquiry, he found that its velocity was uniform with

respect to no single point within the orbit, but that the areas

described, in equal times, by a line drawn from the sun to the planet

were strictly equal. These two principles he extended, by direct proof,

to the motion of the earth; and, by analogy, to that of the other

planets. They were published in 1609 in _De Motibus Stellae Martis_. The

announcement of the third of "Kepler's Laws" was made ten years later,

in _De Harmonice Mundi_. It states that the squares of the periods of

circulation round the sun of the several planets are in the same ratio

as the cubes of their mean distances. This numerical proportion, as

being a necessary consequence of the law of gravitation, must prevail in

every system under its sway. It does in fact prevail among the

satellite-families of our acquaintance, and presumably in stellar

combinations as well. Kepler's ineradicable belief in the existence of

some such congruity was derived from the Pythagorean idea of an

underlying harmony in nature; but his arduous efforts for its

realization took a devious and fantastic course which seemed to give

little promise of their surprising ultimate success. The outcome of his

discoveries was, not only to perfect the geometrical plan of the solar

system, but to enhance very materially the predicting power of

astronomy. The Rudolphine Tables (Ulm, 1627), computed by him from

elliptic elements, retained authority for a century, and have in

principle never been superseded. He was deterred from research into the

orbital relations of comets, by his conviction of their perishable

nature. He supposed their tails to result from the action of solar rays,

which, in traversing their mass, bore off with them some of their

subtler particles to form trains directed away from the sun. And through

the process of waste thus set on foot, they finally dissolved into the

aether, and expired "like spinning insects." (_De Cometis; Opera_, ed.

Frisch, t. vii. p. 110.) This remarkable anticipation of the modern

theory of light-pressure was suggested to him by his observations of the

great comets of 1618.

The formal astronomy of the ancients left Kepler unsatisfied. He aimed

at finding out the cause as well as the mode of the planetary

revolutions; and his demonstration that the planes in which they are

described all pass through the sun was an important preliminary to a

physical explanation of them. But his efforts to supply such an

explanation were rendered futile by his imperfect apprehension of what

motion is in itself. He had, it is true, a distinct conception of a

force analogous to that of gravity, by which cognate bodies tended

towards union. Misled, however, into identifying it with magnetism, he

imagined circulation in the solar system to be maintained through the

material compulsion of fibrous emanations from the sun, carried round by

his axial rotation. Ignorance regarding the inertia of matter drove him

to this expedient. The persistence of movement seemed to him to imply

the persistence of a moving power. He did not recognize that motion and

rest are equally natural, in the sense of requiring force for their

alteration. Yet his rationale of the tides in _De Motibus Stellae_ is

not only memorable as an astonishing forecast of the principle of

reciprocal attraction in the proportion of mass, but for its bold

extension to the earth of the lunar sphere of influence.

Galileo Galilei, Kepler's most eminent contemporary, took a foremost

part in dissipating the obscurity that still hung over the very

foundations of mechanical science. He had, indeed, precursors and

co-operators. Michel Varo of Geneva wrote correctly in 1584 on the

composition of forces; Simon Stevin of Bruges (1548-1620) independently

demonstrated the principle; and G.B. Benedetti expounded in his

_Speculationum Liber_ (Turin, 1585) perfectly clear ideas as to the

nature of accelerated motion, some years in advance of Galileo's

dramatic experiments at Pisa. Yet they were never assimilated by Kepler;

while, on the other hand, the laws of planetary circulation he had

enounced were strangely ignored by Galileo. The two lines of inquiry

remained for some time apart. Had they at once been made to coalesce,

the true nature of the force controlling celestial movements should have

been quickly recognized. As it was, the importance of Kepler's

generalizations was not fully appreciated until Sir Isaac Newton made

them the corner-stone of his new cosmic edifice.

Galileo.

Galileo's contributions to astronomy were of a different quality from

Kepler's. They were easily intelligible to the general public: in a

sense, they were obvious, since they could be verified by every

possessor of one of the Dutch perspective-instruments, just then in

course of wide and rapid distribution. And similar results to his were

in fact independently obtained in various parts of Europe by Christopher

Scheiner at Ingolstadt, by Johann Fabricius at Osteel in Friesland, and

by Thomas Harriot at Syon House, Isleworth. Galileo was nevertheless by

far the ablest and most versatile of these early telescopic observers.

His gifts of exposition were on a par with his gifts of discernment.

What he saw, he rendered conspicuous to the world. His sagacity was

indeed sometimes at fault. He maintained with full conviction to the end

of his life a grossly erroneous hypothesis of the tides, early adopted

from Andrea Caesalpino; the "triplicate" appearance of Saturn always

remained an enigma to him; and in regarding comets as atmospheric

emanations he lagged far behind Tycho Brahe. Yet he unquestionably ranks

as the true founder of descriptive astronomy; while his splendid

presentment of the laws of projectiles in his dialogue of the "New

Sciences" (Leiden, 1638) lent potent aid to the solid establishment of

celestial mechanics.

Gravitational Astronomy.

Bacon.

Descartes.

Newton.

Euler, Clairault, D'Alembert.

The accumulation of facts does not in itself constitute science.

Empirical knowledge scarcely deserves the name. _Vere scire est per

causas scire._ Francis Bacon's prescient dream, however, of a living

astronomy by which the physical laws governing terrestrial relations

should be extended the highest heavens, had long to wait for

realization. Kepler divined its possibility; but his thoughts, derailed

(so to speak) by the false analogy of magnetism, brought him no farther

than to the rough draft of the scheme of vortices expounded in detail by

Rene Descartes in his _Principia Philosophiae_ (1644). And this was a

Descartes _cul-de-sac._ The only practicable road struck aside from it.

The true foundations of a mechanical theory of the heavens were laid by

Kepler's discoveries, and by Galileo's dynamical demonstrations; its

construction was facilitated by the development of mathematical methods.

The invention of logarithms, the rise of analytical geometry, and the

evolution of B. Cavalieri's "indivisibles" into the infinitesimal

calculus, all accomplished during the 17th century, immeasurably widened

the scope of exact astronomy. Gradually, too, the nature of the problem

awaiting solution came to be apprehended. Jeremiah Horrocks had some

intuition, previously to 1639, that the motion of the moon was

controlled by the earth's gravity, and disturbed by the action of the

sun. Ismael Bouillaud (1605-1694) stated in 1645 the fact of planetary

circulation under the sway of a sun-force decreasing as the inverse

square of the distance; and the inevitableness of this same "duplicate

ratio" was separately perceived by Robert Hooke, Edmund Halley and Sir

Christopher Wren before Newton's discovery had yet been made public. He

was the only man of his generation who both recognized the law, and had

power to demonstrate its validity. And this was only a beginning. His

complete achievement had a twofold aspect. It consisted, first, in the

identification, by strict numerical comparisons, of terrestrial gravity

with the mutual attraction of the heavenly bodies; secondly, in the

following out of its mechanical consequences throughout the solar

system. Gravitation was thus shown to be the sole influence governing

the movements of planets and satellites; the figure of the rotating

earth was successfully explained by its action on the minuter particles

of matter; tides and the procession of the equinoxes proved amenable to

reasonings based on the same principle; and it satisfactorily accounted

as well for some of the chief lunar and planetary inequalities. Newton's

investigations, however, were very far from being exhaustive. Colossal

though his powers were, they had limits; and his work could not but

remain unterminated, since it was by its nature interminable. Nor was it

possible to provide it with what could properly be called a sequel. The

synthetic method employed by him was too unwieldy for common use. Yet no

other was just then at hand. Mathematical analysis needed half a century

of cultivation before it was fully available for the arduous tasks

reserved for it. They were accordingly taken up anew by a band of

continental inquirers, primarily by three men of untiring energy and

vivid genius, Leonhard Euler, Alexis Clairault, and Jean le Rond

d'Alembert. The first of the outstanding gravitational problems with

which they grappled was the unaccountably rapid advance of the lunar

perigee. But the apparent anomaly disappeared under Euler's powerful

treatment in 1749, and his result was shortly afterwards still further

assured by Clairault. The subject of planetary perturbations was next

attacked. Euler devised in 1753 a new method, that of the "variation of

parameters," for their investigation, and applied it to unravel some of

the earth's irregularities in a memoir crowned by the French Academy in

1756; while in 1757, Clairault estimated the masses of the moon and

Venus by their respective disturbing effects upon terrestrial movements.

But the most striking incident in the history of the verification of

Newton's law was the return of Halley's comet to perihelion, on the 12th

of March 1759, in approximate accordance with Clairault's calculation of

the delays due to the action of Jupiter and Saturn. Visual proof was

thus, it might be said, afforded of the harmonious working of a single

principle to the uttermost boundaries of the sun's dominion.

Lagrange.

These successes paved the way for the higher triumphs of Joseph Louis

Lagrange and of Pierre Simon Laplace. The subject of the lunar

librations was treated by Lagrange with great originality in an essay

crowned by the Paris Academy of Sciences in 1764; and he filled up the

lacunae in his theory of them in a memoir communicated to the Berlin

Academy in 1780. He again won the prize of the Paris Academy in 1766

with an analytical discussion of the movements of Jupiter's satellites

(_Miscellanea_, Turin Acad. t. iv.); and in the same year expanded

Euler's adumbrated method of the variation of parameters into a highly

effective engine of perturbational research. It was especially adapted

to the tracing out of "secular inequalities," or those depending upon

changes in the orbital elements of the bodies affected by them, and

hence progressing indefinitely with time; and by its means, accordingly,

the mechanical stability of the solar system was splendidly demonstrated

through the successive efforts of Lagrange and Laplace. The proper share

of each in bringing about this memorable result is not easy to

apportion, since they freely imparted and profited by one another's

advances and improvements; it need only be said that the fundamental

proposition of the invariability of the planetary major axes laid down

with restrictions by Laplace in 1773, was finally established by

Lagrange in 1776; while Laplace in 1784 proved the subsistence of such a

relation between the eccentricities of the planetary orbits on the one

hand, and their inclinations on the other, that an increase of either

element could, in any single case, proceed only to a very small extent.

The system was thus shown, apart from unknown agencies of subversion, to

be constructed for indefinite permanence. The prize of the Berlin

Academy was, in 1780, adjudged to Lagrange for a treatise on the

perturbations of comets, and he contributed to the Berlin Memoirs,

1781-1784, a set of five elaborate papers, embodying and unifying his

perfected methods and their results.

Laplace.

The crowning trophies of gravitational astronomy in the 18th century

were Laplace's explanations of the "great inequality" of Jupiter and

Saturn in 1784, and of the "secular acceleration" of the moon in 1787.

Both irregularities had been noted, a century earlier, by Edmund Halley;

both had, since that time, vainly exercised the ingenuity of the ablest

mathematicians; both now almost simultaneously yielded their secret to

the same fortunate inquirer. Johann Heinrich Lambert pointed out in 1773

that the motion of Saturn, from being retarded, had become accelerated.

A periodic character was thus indicated for the disturbance; and Laplace

assigned its true cause in the near approach to commensurability in the

periods of the two planets, the cycle of disturbance completing itself

in about 900 (more accurately 929-1/2) years. The lunar acceleration,

too, obtains ultimate compensation, though only after a vastly

protracted term of years. The discovery, just one hundred years after

the publication of Newton's _Principia_, of its dependence upon the

slowly varying eccentricity of the earth's orbit signalized the removal

of the last conspicuous obstacle to admitting the unqualified validity

of the law of gravitation. Laplace's calculations, it is true, were

inexact. An error, corrected by J.C. Adams in 1853, nearly doubled the

value of the acceleration deducible from them; and served to conceal a

discrepancy with observation which has since given occasion to much

profound research (see MOON).

The _Mecanique celeste_, in which Laplace welded into a whole the items

of knowledge accumulated by the labours of a century, has been termed

the "Almagest of the 18th century" (Fourier). But imposing and complete

though the monument appeared, it did not long hold possession of the

field. Further developments ensued. The "method of least squares," by

which the most probable result can be educed from a body of

observational data, was published by Adrien Marie Legendre in 1806, by

Carl Friedrich Gauss in his _Theoria Motus_ (1809), which described also

a mode of calculating the orbit of a planet from three complete

observations, afterwards turned to important account for the recapture

of Ceres, the first discovered asteroid (see PLANETS, MINOR). Researches

into rotational movement were facilitated by S.D. Poisson's application

to them in 1809 of Lagrange's theory of the variation of constants;

Philippe de Pontecoulant successfully used in 1829, for the prediction

of the impending return of Halley's comet, a system of "mechanical

quadratures" published by Lagrange in the Berlin Memoirs for 1778; and

in his _Theorie analytique du systeme du monde_ (1846) he modified and

refined general theories of the lunar and planetary revolutions. P.A.

Hansen in 1829 (_Astr. Nach._ Nos. 166-168, 179) left the beaten track

by choosing time as the sole variable, the orbital elements remaining

constant. A.L. Cauchy published in 1842-1845 a method similarly

conceived, though otherwise developed; and the scope of analysis in

determining the movements of the heavenly bodies has since been

perseveringly widened by the labours of Urbain J.J. Leverrier, J.C.

Adams, S. Newcomb, G.W. Hill, E.W. Brown, H. Gylden, Charles Delaunay,

F. Tisserand, H. Poincare and others too numerous to mention. Nor were

these abstract investigations unaccompanied by concrete results. Sir

George Airy detected in 1831 an inequality, periodic in 240 years,

between Venus and the earth. Leverrier undertook in 1839, and concluded

in 1876, the formidable task of revising all the planetary theories and

constructing from them improved tables. Not less comprehensive has been

the work carried out by Professor Newcomb of raising to a higher grade

of perfection, and reducing to a uniform standard, all the theories and

constants of the solar system. His inquiries afford the assurance of a

nearly exact conformity among its members to strict gravitational law,

only the moon and Mercury showing some slight, but so far unexplained,

anomalies of movement. The discovery of Neptune in 1846 by Adams and

Leverrier marked the first solution of the "inverse problem" of

perturbations. That is to say, ascertained or ascertainable effects were

made the starting-point instead of the goal of research.

Descriptive and practical astronomy.

Bayer.

Gassendi.

Horrocks.

Huygens.

Gascoigne.

Hevelius.

Observational astronomy, meanwhile, was advancing to some extent

independently. The descriptive branch found its principle of development

in the growing powers of the telescope, and had little to do with

mathematical theory; which, on the contrary, was closely allied, by

relations of mutual helpfulness, with practical astronomy, or

"astrometry." Meanwhile, the elementary requirement of making visual

acquaintance with the stellar heavens was met, as regards the unknown

southern skies, when Johann Bayer published at Nuremberg in 1603 a

celestial atlas depicting twelve new constellations formed from the rude

observations of navigators across the line. In the same work, the

current mode of star-nomenclature by the letters of the Greek alphabet

made its appearance. On the 7th of November 1631 Pierre Gassendi watched

at Paris the passage of Mercury across the sun. This was the first

planetary transit observed. The next was that of Venus on the 24th of

November (O.S.) 1639, of which Jeremiah Horrocks and William Crabtree

were the sole spectators. The improvement of telescopes was prosecuted

by Christiaan Huygens from 1655, and promptly led to his discoveries of

the sixth Saturnian moon, of the true shape of the Saturnian appendages,

and of the multiple character of the "trapezium" of stars in the Orion

nebula. William Gascoigne's invention of the filar micrometer and of the

adaptation of telescopes to graduated instruments remained submerged for

a quarter of a century in consequence of his untimely death at Marston

Moor (1644). The latter combination had also been ineffectually proposed

in 1634 by Jean Baptiste Morin (1583-1656); and both devices were

recontrived at Paris about 1667, the micrometer by Adrien Auzout (d.

1691), telescopic sights (so-called) by Jean Picard (1620-1682), who

simultaneously introduced the astronomical use of pendulum-clocks,

constructed by Huygens eleven years previously. These improvements were

ignored or rejected by Johann Hevelius of Danzig, the author of the last

important star-catalogue based solely upon naked-eye determinations.

He, nevertheless, used telescopes to good purpose in his studies of

lunar topography, and his designations for the chief mountain-chains and

"seas" of the moon have never been superseded. He, moreover, threw out

the suggestion (in his _Cometographia_, 1668) that comets move round the

sun in orbits of a parabolic form.

The Paris observatory.

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