CHAPTER II

ASTRONOMY IN THE SEVENTEENTH CENTURY

The seventeenth century embraces the most remarkable epoch in the whole

history of astronomy. It was during this period that those wonderful

discoveries were made which have been the means of raising astronomy to

the lofty position which it now occupies among the sciences. The

unrivalled genius and patient labours of the illustrious men whose names

stand out in such prominence on the written pages of the history of this

era have rendered it one of the most interesting and elevating of

studies. Though Copernicus lived in the preceding century, yet the names

of Tycho Brahe, Kepler, Galileo, and Newton, testify to the greatness of

the discoveries that were made during this period, which have surrounded

the memories of those men with a lustre of undying fame.

Foremost among astronomers of less conspicuous eminence who made

important discoveries in this century we find the name of Huygens.

CHRISTIAN HUYGENS was born at The Hague in 1629. He was the second son

of Constantine Huygens, an eminent diplomatist, and secretary to the

Prince of Orange. Huygens studied at Leyden and Breda, and became

highly distinguished as a geometrician and scientist. He made important

investigations relative to the figure of the Earth, and wrote a learned

treatise on the cause of gravity; he also determined with greater

accuracy investigations made by Galileo regarding the accelerated motion

of bodies when subjected to the influence of that force.

Huygens admitted that the planets and their satellites attracted each

other with a force varying according to the inverse ratio of the squares

of their distances, but rejected the mutual attraction of the molecules

of matter, believing that they possessed gravity towards a central point

only, to which they were attracted. This supposition was at variance

with the Newtonian theory, which, however, was universally regarded as

the correct one.

Huygens originated the theory by which it is believed that light is

produced by the undulatory vibration of the ether; he also discovered

polarization.

Up to this time the method adopted in the construction of clocks was not

capable of producing a mechanism which measured time with sufficient

accuracy to satisfy the requirements of astronomers. Huygens endeavoured

to supply this want, and applied his mechanical ingenuity in

constructing a clock that could be relied upon to keep accurate time.

Though the pendulum motion was first adopted by Galileo, he was unable

to arrange its mechanism so that it should keep up a continuous

movement. The oscillation of the pendulum ceased after a time, and a

fresh impulse had to be applied to set it in motion. Consequently,

Galileo's clock was of no service as a timekeeper.

Huygens overcame this difficulty by so arranging the mechanism of his

clock that the balance, instead of being horizontal, was directed

perpendicularly, and prolonged downwards to form a pendulum, the

oscillations of which regulated the downward motion of the weight. This

invention, which was highly applauded, proved to be of great service

everywhere, and was especially valuable for astronomical purposes.

Huygens next directed his attention to the construction of telescopes,

and displayed much skill in the grinding and polishing of lenses. He

made several instruments superior in power and accuracy to any that

existed previously, and with one of these made some remarkable

discoveries when observing the planet Saturn.

The telescopic appearance of Saturn is one of the most beautiful in the

heavens. The planet, surrounded by two brilliant rings, and accompanied

by eight attendant moons, surpasses all the other orbs of the firmament

as an object of interest and admiration. To the naked eye, Saturn is

visible as a star of the first magnitude, and was known to the ancients

as the most remote of the planets. Travelling in space at a distance of

nearly one thousand millions of miles from the Sun, the planet

accomplishes a revolution of its mighty orbit in twenty-nine and a half

years.

Galileo was the first astronomer who directed a telescope to Saturn. He

observed that the planet presented a triform appearance, and that on

each side of the central globe there were two objects, in close contact

with it, which caused it to assume an ovoid shape. After further

observation, Galileo perceived that the lateral bodies gradually

decreased in size, until they became invisible. At the expiration of a

certain period of time they reappeared, and were observed to go through

a certain cycle of changes. By the application of increased telescopic

power it was discovered that the appendages were not of a rounded form,

but appeared as two small crescents, having their concave surfaces

directed towards the planet and their extremities in contact with it,

resembling the manner in which the handles are attached to a cup.

These objects were observed to go through a series of periodic changes.

After having become invisible, they reappeared as two luminous straight

bands, projecting from each side of the planet; during the next seven or

eight years they gradually opened out, and assumed a crescentic form;

they afterwards began to contract, and on the expiration of a similar

period, during which time they gradually decreased in size, they again

became invisible. It was perceived that the appendages completed a cycle

of their changes in about fifteen years.

In 1656, Huygens, with a telescope constructed by himself, was enabled

to solve the enigma which for so many years baffled the efforts of the

ablest astronomers. He announced his discovery in the form of a Latin

cryptograph which, when deciphered, read as follows:--

'Annulo cingitur, tenui plano, nusquam cohaerente, ad eclipticam

inclinatio.'

'The planet is surrounded by a slender flat ring everywhere distinct

from its surface, and inclined to the ecliptic.'

Huygens perceived the shadow of the ring thrown on the planet, and was

able to account in a satisfactory manner for all the phenomena observed

in connection with its variable appearance.

The true form of the ring is circular, but by us it is seen

foreshortened; consequently, when the Earth is above or below its plane,

it appears of an elliptical shape. When the position of the planet is

such that the plane of the ring passes through the Sun, the edge of the

ring only is illumined, and then it becomes invisible for a short

period. In the same manner, when the plane of the ring passes through

the Earth, the illumined edge of the ring is not of sufficient magnitude

to appear visible, but as the enlightened side of the plane becomes more

inclined towards the Earth, the ring comes again into view. When the

plane of the ring passes between the Earth and the Sun, the unillumined

side of the ring is turned towards the Earth, and during the time it

remains in this position it is invisible.

Huygens discovered the sixth satellite of Saturn (Titan), and also the

Great Nebula in Orion.

JOHANN HEVELIUS, a celebrated Prussian astronomer, was born at Dantzig

in 1611, and died in that city in 1687. He was a man of wealth, and

erected an observatory at his residence, where, for a period of forty

years, he carried out a series of astronomical observations.

He constructed a chart of the stars, and in order to complete his work,

formed nine new constellations in those spaces in the celestial vault

which were previously un-named. They are known by the names

Camelopardus, Canes Venatici, Coma Bernices, Lacerta, Leo Minor, Lynx,

Monoceros, Sextans, and Vulpecula. He also executed a chart of the

Moon's surface, wrote a description of the lunar spots, and discovered

the Libration of the Moon in Longitude.

On May 30, 1661, Hevelius observed a transit of Mercury, a description

of which he published, and included with it Horrox's treatise on the

first-recorded transit of Venus. This work, after having passed through

several hands, became the property of Hevelius, who was capable of

appreciating its merits. The manuscript was sent to him by Huygens, and

in acknowledging it he writes: 'How greatly does my Mercury exult in the

joyous prospect that he may shortly fold within his arms Horrox's long

looked-for and beloved Venus! He renders you unfeigned thanks that by

your permission this much-desired union is about to be celebrated, and

that the writer is able, with your concurrence, to introduce them both

together to the public.'

Hevelius made numerous researches on comets, and suggested that the

form of their paths might be a parabola.

GIOVANNI DOMENICO CASSINI was born at Perinaldo, near Nice, in 1625. He

studied at Genoa and Bologna, and was afterwards appointed to the Chair

of Astronomy at the latter University. He was a man of high scientific

attainments, and made many important astronomical discoveries.

In 1671 he became Director of the Royal Observatory at Paris, and

devoted a long life to trying and difficult observations, which in his

later years deprived him of his eyesight.

In 1644 Cassini proved beyond doubt that Jupiter rotated on his axis,

and also assigned his period of rotation with considerable accuracy. He

published tables of the planet's satellites, and determined their

motions from observations of their eclipses. He ascertained the periods

of rotation of Venus and Mars; executed a chart of the lunar surface,

and observed an occultation of Jupiter by the Moon.

Cassini discovered the dual nature of Saturn's ring, having perceived

that instead of one there are two concentric rings separated by a dark

space. He also discovered four of the planet's satellites--viz. Japetus,

Rhea, Dione, and Tethys. He made a near approximation to the solar

parallax by means of researches on the parallax of Mars, and

investigated some irregularities of the Moon's motion. Cassini

discovered the belts of Jupiter, and also the Zodiacal Light, and

established the coincidence of the nodes of the lunar equator and orbit.

JAQUES CASSINI, son of Giovanni, was born at Paris in 1677. He followed

in his father's footsteps, and wrote several treatises on astronomical

subjects. He investigated the period of the rotation of Venus on her

axis, and upheld the results arrived at by his father, which were

afterwards confirmed by observations made by Schroeter. Cassini made

some valuable researches with regard to the proper motion of the stars,

and demonstrated that their change of position on the celestial vault

was real, and not caused by a displacement of the ecliptic. He attempted

to ascertain the apparent diameter of Sirius, and made observations with

regard to the visibility of the stars. The Cassini family produced

several generations of eminent astronomers, whose discoveries and

investigations were of much value in advancing the science of astronomy.

OLAUS ROEMER, an eminent Danish astronomer, was born at Copenhagen

September 25, 1644. When Picard, a French astronomer, visited Denmark in

1671, for the purpose of ascertaining the exact position of

'Uranienburg,' the site of Tycho Brahe's observatory, he made the

acquaintance of Roemer, who was engaged in studying mathematics and

astronomy under Erasmus Bartolinus. Having perceived that the young man

was gifted with no ordinary degree of talent, he secured his services to

assist him in his observations, and, on the conclusion of his labours,

Picard was so much impressed with the ability displayed by Roemer, that

he invited him to accompany him to France. This invitation he accepted,

and took up his residence in the French capital, where he continued to

prosecute his astronomical studies.

In 1675 Roemer communicated to the Academy of Sciences a paper, in which

he announced his discovery of the progressive transmission of light. It

was believed that light travelled instantaneously, but Roemer was able

to demonstrate the inaccuracy of this conclusion, and determined that

light travels through space with a measurable velocity.

By diligently observing the eclipses of Jupiter's satellites, Roemer

perceived that sometimes they occurred before, and sometimes after their

predicted times. This irregularity, he discovered, depended upon the

position of the Earth with regard to Jupiter. When the Earth, in

traversing her orbit, moved round to the opposite side of the Sun,

thereby bringing Jupiter into conjunction, an eclipse occurred sixteen

minutes twenty-six seconds later than it did when Jupiter was in

opposition or nearest to the Earth. As there existed an impression that

light travelled instantaneously, it was believed that an eclipse

occurred at the moment it was perceived in the telescope. This, however,

was not so. Roemer, after a long series of observations, concluded that

the discrepancies were due to the fact that light travels with a

measurable velocity, and that it requires a greater length of time,

upwards of sixteen minutes, to traverse the additional distance--the

diameter of the Earth's orbit--which intervenes between the Earth and

Jupiter, when the planet is in conjunction, as compared with the

distance between the Earth and Jupiter, when the latter is in

opposition. This discovery of Roemer's was the means of enabling the

velocity of light to be ascertained, which, according to recent

calculations, is about 187,000 miles a second. As an acknowledgment of

the importance of his communication, Roemer was awarded a seat in the

Academy, and apartments were assigned to him at the Royal Observatory,

where he carried on his astronomical studies.

In 1681 Roemer returned to Denmark, and was appointed Professor of

Mathematics in the University of Copenhagen; he was also entrusted with

the care of the city observatory--a duty which his reputation as an

astronomer eminently qualified him to undertake. The transit

instrument--a mechanism of much importance to astronomers--was invented

by Roemer in 1690; it consists of a telescope fixed to a horizontal

axis, and adjusted so as to revolve in the plane of the meridian. It is

employed in observing the passage of the heavenly bodies across the

observer's meridian. To note accurately by means of the astronomical

clock the exact instant of time at which a celestial body crosses the

centre of the field of view is the essential part of a transit

observation. Small transit instruments are employed for taking the time

and for regulating the observatory clock, but large instruments are

used for delicate and exact observations of Right Ascensions and

Declinations of stars of different magnitudes. Meridian, and altitude

and azimuth circles, are important astronomical appliances, which owe

their existence to the inventive skill of this distinguished astronomer.

Roemer resided for many years at the observatory in the city of

Copenhagen, where he pursued his astronomical studies until the time of

his death, which occurred in 1710. He meritoriously attempted to

determine the parallax of the fixed stars; and it is said that the

astronomical calculations and observations which he left behind him were

so voluminous as to equal in number those made by Tycho Brahe, nearly

all of which perished in a great conflagration that destroyed the

observatory and a large portion of the city of Copenhagen in 1728.

Among other astronomers of this century whose names deserve recording

were Descartes and Gassendi, whose mathematical researches in their

application to astronomy were of much value; Fabricius, Torricelli, and

Maraldi, who by their observations and investigations added many facts

to the general knowledge of the science; and Bayer, to whom belongs the

distinction of having constructed the first star-atlas.

In our own country during this period astronomy was cultivated by a few

enthusiastic men, who devoted their time and talents to promoting the

advancement of the science. It, however, received no recognition as a

subject of study at any of the Universities, and no public observatory

existed in Great Britain.

Though it was not until towards the close of the century that the

attention of all Europe was directed to England in admiration of the

discoveries of the illustrious Newton, yet astronomy had its humble

votaries, and chief among those was a young clergyman of the name of

Horrox.

JEREMIAH HORROX was born at Toxteth, near Liverpool, in 1619--close on

three centuries ago. Little is known of his family. His parents have

been described as persons who occupied a humble position in life, but,

as they were able to give their son a classical education which fitted

him for one of the learned professions, it is probable they were not so

obscure as they have been represented to be.

Having received his early education at Toxteth, Horrox afterwards

proceeded to Cambridge, and was entered as a student at Emmanuel College

on May 18, 1632, when in his fourteenth year.

At the University he devoted himself to the study of classics,

especially Latin, which in those days was the language adopted by men of

learning, when engaged in writing works of a philosophical and

scientific character.

After having remained at Cambridge for three years, Horrox returned to

his native county, and was appointed curate of Hoole, a place about

eight miles distant from Preston. Hoole is described as a narrow

low-lying strip of land consisting largely of moss, and almost converted

into an island by the waters of Martin Mere on the south, and the Ribble

on the north; and, though doubtless an open and favourable situation for

astronomical observation, it could not have been attractive as a place

of residence. Yet it was here on November 24, 1639, that Horrox made his

famous observation of the first recorded transit of Venus, an occurrence

with which his name will be for ever associated.

It was while at Cambridge that Horrox first turned his attention to the

study of astronomy. His love of the sublime, and the captivating

influence exerted on his mind by the contemplation of the heavenly

bodies, induced him to adopt astronomy as a pursuit congenial to his

tastes, and capable of exercising his highest mental powers. Having this

object in view, he applied himself with much earnestness to the study of

mathematics; he had, however, to rely mainly upon his own exertions, for

at that time no branch of physical or mathematical science was taught at

Cambridge, and consequently he obtained no professional instruction.

It was so also with astronomy, which, as a science, was scarcely known

in this country; no regular record of astronomical observations was kept

by any individual observer, and no public observatory existed in England

or in France.

The disadvantages and obstacles which Horrox had to encounter may be

best described by quoting his own words. He writes: 'There were many

hindrances. The abstruse nature of the study, my inexperience and want

of means dispirited me. I was much pained not to have any one to whom I

could look for guidance, or indeed for the sympathy of companionship in

my endeavours, and I was assailed by the languor and weariness which are

inseparable from every great undertaking. What then was to be done? I

could not make the pursuit an easy one, much less increase my fortune,

and least of all imbue others with a love for astronomy; and yet to

complain of philosophy on account of its difficulties would be foolish

and unworthy. I determined, therefore, that the tediousness of study

should be overcome by industry; my poverty--failing a better method--by

patience; and that instead of a master I would use astronomical books.

Armed with these weapons I would contend successfully; and, having heard

of others acquiring knowledge without greater help, I would blush that

any one should be able to do more than I, always remembering that word

of Virgil's--

Totidem nobis animaeque manusque.

Having heard much praise bestowed upon the works of Lansberg, a Flemish

astronomer, Horrox thought it would be to his advantage to procure a

copy of his writings. This he succeeded in obtaining after some

difficulty, and devoted a considerable time to calculating Ephemerides,

based upon the Lansberg Tables, but after making a number of

computations he discovered that they were unreliable and inaccurate.

In the year 1636 Horrox made the acquaintance of William Crabtree, a

devoted astronomer, who lived at Broughton, a suburb of Manchester. A

close friendship soon existed between the two men, and they carried on

an active correspondence about matters relating to the science which

they both loved so well.

Crabtree, who was an unbeliever in Lansberg, urged Horrox to discard the

Flemish astronomer's works, and devote his talents to the study of Tycho

Brahe and Kepler. This advice led Horrox to make a more rigorous

examination of the Lansberg Tables, and after comparing them with the

observations made by Crabtree, which coincided with his own, he resolved

to renounce them. Acting on the advice of his friend, Horrox directed

his attention to the writings of Kepler. The youthful astronomer soon

realised their value, and was charmed with the accuracy of observation

and inductive reasoning displayed in the elucidation of those general

laws which constituted a new era in the history of astronomy.

The Rudolphine Tables, which were the astronomical calculations

commenced by Tycho Brahe, and completed by Kepler, were regarded by

Horrox as much superior to those of Lansberg; but it occurred to him

that they might be improved by changing some of the numbers, and yet

retaining the hypotheses. To this task he applied himself with much

earnestness and assiduity, and after close application and laborious

study he accomplished the arduous undertaking of bringing those tables

to a high state of perfection.

In his investigation of the Lunar theory, Horrox outstripped all his

predecessors, and Sir Isaac Newton distinctly affirms he was the first

to discover that the Moon's motion round the Earth is in the form of an

ellipse with the centre in the lower focus. Besides having made this

discovery, Horrox was able to explain the causes of the inequalities of

the Moon's motion, which render the exact computation of her elements so

difficult.

The Annual Equation, an irregularity discovered by Tycho Brahe, which is

produced by the increase and decrease of the Sun's disturbing force as

the Earth approaches or recedes from him in her orbit, had its value

first assigned by Horrox. This he calculated to be eleven minutes

sixteen seconds, which is within four seconds of what it has since been

proved to be by the most recent observations.

The Evection, an irregular motion of the Moon discovered by Ptolemy,

whereby her mean longitude is increased or diminished, was explained by

Horrox as depending upon the libratory motion of the apsides, and the

change which takes place in the eccentricity of the lunar orbit.

These discoveries were made by Horrox before he attained the age of

twenty years, and if his reputation had alone rested upon them his name

would have been honourably associated with those who have attained to

the highest eminence in astronomy.

Another achievement which adds lustre to Horrox's name consists in his

detection of the inequality in the mean motions of Jupiter and Saturn.

He also directed his attention to the study of cometary bodies, and

arrived at certain conclusions with regard to the nature of their

movements. At first, he believed like Kepler that comets were projected

in straight lines from the Sun; this supposition having been upheld on

account of the great elongation of their orbits. He next perceived that

their velocity increased as they approached the Sun, and decreased as

they receded from him. Afterwards he says, 'They move in an elliptic

figure or near it,' and finally he arrived at the conclusion that

'comets move in elliptical orbits, being carried round the Sun with a

velocity which is probably variable.' This theory has been verified by

numerous observations, and is now generally accepted by astronomers.

Horrox also made a series of observations on the tides. He notified the

extent of their rise and fall at different periods, and investigated

other phenomena associated with their ebb and flow. After having

continued his observations for some time, he wrote to his friend

Crabtree, and informed him that he had perceived many interesting

details which had not been previously described, and he hoped to be

able to arrive at some important conclusions with regard to their nature

and cause. Unfortunately, Horrox's writings on this subject, along with

many other important papers, have been lost or destroyed. We are

therefore ignorant of the result of his researches, which were the first

undertaken by any person for the purpose of scientific inquiry.

From his study of the Lansberg and Rudolphine Tables, Horrox arrived at

the conclusion that a transit of Venus would occur on November 24, 1639.

This transit was for some unaccountable reason overlooked by Kepler, who

predicted one in 1631, and the next not until 1761. The transit of 1631

was not visible in Europe.

We are indebted to Horrox for a description of the transit of 1639--the

first that was ever observed of which there is any record; and were it

not for the accuracy of his calculations, the occurrence of the

phenomenon would have been unperceived, and no history of the

conjunction would have been handed down to posterity. As soon as Horrox

had assured himself of the time when the transit would take place, he

wrote to Crabtree to inform him of the date, and asked him to make

observations with his telescope, and especially to examine the diameter

of the planet, which he thought had been over-estimated. He also

requested him to write to Dr. Foster of Cambridge, and inform him of the

expected event, as it was desirable that the transit should be observed

from several places in consequence of the possibility of failure, owing

to an overcast sky. His letter is dated October 26, 1639. He says: 'My

reason for now writing is to advise you of a remarkable conjunction of

the Sun and Venus on the 24th of November, when there will be a transit.

As such a thing has not happened for many years past, and will not occur

again in this century, I earnestly entreat you to watch attentively with

your telescope in order to observe it as well as you can.

'Notice particularly the diameter of Venus, which is stated by Kepler to

be seven minutes, and by Lansberg to be eleven, but which I believe to

be scarcely greater than one minute.'

In describing the method which he adopted for observing the transit,

Horrox writes as follows: 'Having attentively examined Venus with my

instrument, I described on a sheet of paper a circle, whose diameter was

nearly equal to six inches--the narrowness of the apartment not

permitting me conveniently to use a larger size. I divided the

circumference of this circle into 360 degrees in the usual manner, and

its diameter into thirty equal parts, which gives about as many minutes

as are equivalent to the Sun's apparent diameter. Each of these thirty

parts was again divided into four equal portions, making in all one

hundred and twenty; and these, if necessary, may be more minutely

subdivided. The rest I left to ocular computation, which, in such small

sections, is quite as certain as any mechanical division. Suppose,

then, each of these thirty parts to be divided into sixty seconds,

according to the practice of astronomers. When the time of the

observation approached, I retired to my apartment, and, having closed

the windows against the light, I directed my telescope--previously

adjusted to a focus--through the aperture towards the Sun, and received

his rays at right angles upon the paper already mentioned. The Sun's

image exactly filled the circle, and I watched carefully and unceasingly

for any dark body that might enter upon the disc of light.

'Although the corrected computation of Venus' motions which I had before

prepared, and on the accuracy of which I implicitly relied, forbade me

to expect anything before three o'clock in the afternoon of the 24th,

yet since, according to the calculations of most astronomers, the

conjunction should take place sooner--by some even on the 23rd--I was

unwilling to depend entirely on my own opinion, which was not

sufficiently confirmed, lest by too much self-confidence I might

endanger the observation. Anxiously intent, therefore, on the

undertaking through the greater part of the 23rd, and on the whole of

the 24th, I omitted no available opportunity of observing her ingress. I

watched carefully on the 24th from sunrise to nine o'clock, and from a

little before ten until noon, and at one in the afternoon, being called

away in the intervals by business of the highest importance, which for

these ornamental pursuits I could not with propriety neglect.[3] But

during all this time I saw nothing in the Sun except a small and common

spot, consisting as it were of three points at a distance from the

centre towards the left, which I noticed on the preceding and following

days. This evidently had nothing to do with Venus. About fifteen minutes

past three in the afternoon, when I was again at liberty to continue my

labours, the clouds, as if by divine interposition, were entirely

dispersed, and I was once more invited to the grateful task of repeating

my observations. I then beheld a most agreeable spectacle--the object of

my sanguine wishes; a spot of unusual magnitude and of a perfectly

circular shape, which had already fully entered upon the Sun's disc on

the left, so that the limbs of the Sun and Venus precisely coincided,

forming an angle of contact. Not doubting that this was really the

shadow of the planet, I immediately applied myself sedulously to observe

it.

'In the first place, with respect to the inclination, the line of the

diameter of the circle being perpendicular to the horizon, although its

plane was somewhat inclined on account of the Sun's altitude, I found

that the shadow of Venus at the aforesaid hour--namely, fifteen minutes

past three--had entered the Sun's disc about 62 deg. 30', certainly between

60 deg. and 65 deg., from the top towards the right. This was the appearance in

the dark apartment; therefore, out of doors, beneath the open sky,

according to the laws of optics, the contrary would be the case, and

Venus would be below the centre of the Sun, distant 62 deg. 30' from the

lower limbs or the nadir, as the Arabians term it. The inclination

remained to all appearances the same until sunset, when the observation

was concluded.

'In the second place, the distance between the centres of Venus and the

Sun I found by three observations to be as follows:--

The Hour. | Distance of the Centres.

|

At 3.15 by the clock | 14' 24''

" 3.35 " | 13' 30''

" 3.45 " | 13' 0''

" 3.50 the apparent sunset. |

The true setting being 3.45, and the apparent about 5 minutes later, the

difference being caused by refraction. The clock therefore was

sufficiently correct.

'In the third place I found after careful and repeated observation that

the diameter of Venus, as her shadow was depicted on the paper, was

larger indeed than the thirtieth part of the solar diameter, though not

more so than the sixth, or at the utmost the fifth of such a part.

Therefore let the diameter of the Sun be to the diameter of Venus as 30'

to 1' 12''. Certainly her diameter never equalled 1' 30'', scarcely

perhaps 1' 20'', and this was evident as well when the planet was near

the Sun's limb as when far distant from it.

[Illustration: VENUS ON THE SUN'S DISC.]

'This observation was made in an obscure village where I have long been

in the habit of observing, about fifteen miles to the north of

Liverpool, the latitude of which I believe to be 53 deg. 20', although by

common maps it is stated at 54 deg. 12', therefore the latitude of the

village will be 53 deg. 35', and longitude of both 22 deg. 30' from the

Fortunate Islands, now called the Canaries. This is 14 deg. 15' to the west

of Uraniburg in Denmark, the longitude of which is stated by Brahe, a

native of the place, to be 36 deg. 45' from these islands.

'This is all I could observe respecting this celebrated conjunction

during the short time the Sun remained in the horizon: for although

Venus continued on his disc for several hours, she was not visible to me

longer than half an hour on account of his so quickly setting.

Nevertheless, all the observations which could possibly be made in so

short a time I was enabled by Divine Providence to complete so

effectually that I could scarcely have wished for a more extended

period. The inclination was the only point upon which I failed to attain

the utmost precision; for, owing to the rapid motion of the Sun it was

difficult to observe with certainty to a single degree, and I frankly

confess that I neither did nor could ascertain it. But all the rest is

sufficiently accurate, and as exact as I could desire.'

Besides having ascertained that the diameter of Venus subtends an angle

not much greater than one minute of arc, Horrox reduced the horizontal

solar parallax from fifty-seven seconds as stated by Kepler to fourteen

seconds, a calculation within one and a half second of the value

assigned to it by Halley sixty years after. He also reduced the Sun's

semi-diameter.

Crabtree, to whom Horrox refers as 'his most esteemed friend and a

person who has few superiors in mathematical learning,' made

preparations to observe the transit similar to those already described.

But the day was unfavourable, dark clouds obscured the sky and rendered

the Sun invisible. Crabtree was in despair, and relinquished all hope of

being able to witness the conjunction. However, just before sunset there

was a break in the clouds, and the Sun shone brilliantly for a short

interval. Crabtree at once seized his opportunity, and to his intense

delight observed the planet fully entered upon the Sun's disc. Instead

of proceeding to take observations, he was so overcome with emotion at

the sight of the phenomenon, that he continued to gaze upon it with rapt

attention, nor did he recover his self-possession until the clouds again

hid from his view the setting Sun.[4]

Crabtree's observation of the transit was, however, not a fruitless one.

He drew from memory a diagram showing the exact position of Venus on the

Sun's disc, which corresponded in every respect with Horrox's

observation; he also estimated the diameter of the planet to be 7/200

that of the Sun, which when calculated gives one minute three seconds;

Horrox having found it to be one minute twelve seconds. This transit of

Venus is remarkable as having been the first ever observed of which

there is any record, and for this we are indebted to the genius of

Horrox, who by a series of calculations, displaying a wonderfully

accurate knowledge of mathematics, was enabled to predict the occurrence

of the phenomenon on the very day, and almost at the hour it appeared,

and of which he and his friend Crabtree were the only observers.

Having thought it desirable to write an account of the transit, Horrox

prepared an elegant Latin treatise, entitled 'Venus in Sole

Visa'--'Venus seen in the Sun;' but not knowing what steps to take with

regard to its publication, he requested Crabtree to communicate with his

bookseller and obtain his advice on the matter.

In the meantime Horrox returned to Toxteth, and arranged to fulfil a

long-promised visit to Crabtree, which he looked forward to with much

pleasure, as it would afford him an opportunity of discussing with his

friend many matters of interest to both. This visit was frustrated in a

manner altogether unexpected. For we read that Horrox was seized with a

sudden and severe illness, the nature of which is not known, and that

his death occurred on the day previous to that of his intended visit to

his friend at Broughton. He expired on January 3, 1641, when in the 23rd

year of his age.

His death was a great grief to Crabtree, who, in one of his letters,

describes it as 'an irreparable loss:' and it is believed that he only

survived him a few years.[5] Of the papers left by Horrox, only a few

have been preserved, and these were discovered in Crabtree's house after

his death. Among them was his treatise on the transit of Venus which,

with other papers, was purchased by Dr. Worthington, Fellow of Emmanuel

College, Cambridge, a man of learning, who was capable of appreciating

their value. Ultimately, the treatise fell into the possession of

Hevelius, a celebrated German astronomer, who published it along with a

dissertation of his own, describing a transit of Mercury.

Horrox did not live to see any of his writings published, nor was any

monument erected to his memory until nearly two hundred years after his

death. But his name, though long forgotten except by astronomers, is now

engraved on marble in Westminster Abbey. Had his life been spared, it

would have been difficult to foretell to what eminence and fame he might

have risen, or what further discoveries his genius might have enabled

him to make. Few among English astronomers will hesitate to rank him

next with the illustrious Newton, and all will agree with Herschel, who

called him 'the pride and the boast of British Astronomy.'

WILLIAM GASCOIGNE was born in 1612, in the parish of Rothwell, in the

county of York, and afterwards resided at Middleton, near Leeds.

He was a man of an inventive turn of mind, and possessed good abilities,

which he devoted to improving the methods of telescopic observation.

At an early age he was occupied in observing celestial objects, making

researches in optics, and acquiring a proficient knowledge of astronomy.

Among his acquaintances were Crabtree and Horrox, with whom he carried

on a correspondence on matters appertaining to their favourite study.

The measurement of small angles was found at all times to be one of the

greatest difficulties which astronomers had to contend with. Tycho Brahe

was so misled by his measurements of the apparent diameters of the Sun

and Moon, that he concluded a total eclipse of the Sun was impossible.

Gascoigne overcame this difficulty by his invention of the micrometer.

This instrument, when applied to a telescope, was found to be of great

service in the correct measurement of minute angles and distances, and

was the means of greatly advancing the progress of practical astronomy

in the seventeenth century. A micrometer consists of a short tube,

across the opening of which are stretched two parallel wires; these

being intersected at right angles by a third. The wires are moved to or

from each other by delicately constructed screws, to which they are

attached. Each revolution, or part of a revolution, of a screw indicates

the distance by which the wires are moved.

This apparatus, when placed in the focus of a lens, gives very accurate

measurements of the diameters of celestial objects. It was successfully

used by Gascoigne in determining the apparent diameters of the Sun,

Moon, and several of the planets, and the mutual distances of the stars

which form the Pleiades.

Crabtree, after having paid Gascoigne a visit in 1639, describes in a

letter to Horrox the impression created on his mind by the micrometer.

He writes: 'The first thing Mr. Gascoigne showed me was a large

telescope, amplified and adorned with new inventions of his own, whereby

he can take the diameters of the Sun or Moon, or any small angle in the

heavens or upon the earth, most exactly through the glass to a second.'

The micrometer is now regarded as an indispensable appliance in the

observatory; the use of a spider web reticule instead of wire having

improved its efficiency. Gascoigne was one of the earliest astronomers

who recognised the value of the Keplerian telescope for observational

purposes, and Sherburn affirms that he was the first to construct an

instrument of this description having two convex lenses. Whether this be

true or not, it is certain that he applied the micrometer to the

telescope, and was the first to use telescopic sights, by means of which

he was able to fix the optical axis of his telescope, and ascertain by

observation the apparent positions of the heavenly bodies.

Crabtree, in a letter to Gascoigne, says: 'Could I purchase it with

travel, or procure it with gold, I would not be without a telescope for

observing small angles in the heavens; or want the use of your device of

a glass in a cane upon the movable ruler of your sextant, as I remember

for helping to the exact point of the Sun's rays.'

It was not known until the beginning of the eighteenth century that

Gascoigne had invented and used telescopic sights for the purpose of

making accurate astronomical observations. The accidental discovery of

some documents which contained a description of his appliances was the

means by which this became known.

Townley states that Gascoigne had completed a treatise on optics, which

was ready for publication, but that no trace of the manuscript could be

discovered after his death. Having embraced the Royalist cause, William

Gascoigne joined the forces of Charles I., and fell in the battle of

Marston Moor on July 2, 1644.

The early death of this young and remarkably clever man was a severe

blow to the science of astronomy in England.

The invention of logarithms, by Baron Napier, of Merchistoun, was found

to be of inestimable value to astronomers in facilitating and

abbreviating the methods of astronomical calculation.

By the use of logarithms, arithmetical computations which necessitated

laborious application for several months could with ease be completed in

as many days. It was remarked by Laplace that this invention was the

means of doubling the life of an astronomer, besides enabling him to

avoid errors and the tediousness associated with long and abstruse

calculations.

THOMAS HARRIOT, an eminent mathematician, and an assiduous astronomer,

made some valuable observations of the comet of 1607. He was one of the

earliest observers who made use of the telescope, and it was claimed on

his behalf that he discovered Jupiter's satellites, and the spots on the

Sun, independently of Galileo. Other astronomers have been desirous of

sharing this honour, but it has been conclusively proved that Galileo

was the first who made those discoveries.

The investigations of Norwood and Gilbert, the mechanical genius of

Hooke, and the patient researches of Flamsteed--the first Astronomer

Royal--were of much value in perfecting many details associated with the

study of astronomy.

The Royal Observatory at Greenwich was founded in 1675. The building was

erected under a warrant from Charles II. It announces the desire of the

Sovereign to build a small observatory in the park at Greenwich, 'in

order to the finding out of the longitude for perfecting the art of

navigation and astronomy.' This action on the part of the King may be

regarded as the first public acknowledgment of the usefulness of

astronomy for national purposes.

Since its erection, the observatory has been presided over by a

succession of talented men, who have raised it to a position of eminence

and usefulness unsurpassed by any similar institution in this or any

other country. The well-known names of Flamsteed, Halley, Bradley, and

Airy, testify to the valuable services rendered by those past directors

of the Greenwich Observatory in the cause of astronomical science.

If we take a general survey of the science of astronomy as it existed

from 1608 to 1674--a period that embraced the time in which Milton

lived--we shall find that it was still compassed by ignorance,

superstition, and mystery. Astrology was zealously cultivated; most

persons of rank and position had their nativity or horoscope cast, and

the belief in the ruling of the planets, and their influence on human

and terrestrial affairs, was through long usage firmly established in

the public mind. Indeed, at this time, astronomy was regarded as a

handmaid to astrology; for, with the aid of astronomical calculation,

the professors of this occult science were enabled to predict the

positions of the planets, and by this means practised their art with an

apparent degree of truthfulness.

Although over one hundred years had elapsed since the death of

Copernicus, his theory of the solar system did not find many supporters,

and the old forms of astronomical belief still retained their hold on

the minds of the majority of philosophic thinkers. This can be partly

accounted for, as many of the Ptolemaic doctrines were at first

associated with the Copernican theory, nor was it until a later period

that they were eliminated from the system.

Though Copernicus deserved the credit of having transferred the centre

of our system from the Earth to the Sun, yet his theory was imperfect in

its details, and contained many inaccuracies. He believed that the

planets could only move round the Sun in circular paths, nor was he

capable of conceiving of any other form of orbit in which they could

perform their revolutions. He was therefore compelled to retain the use

of cycles and epicycles, in order to account for irregularities in the

uniformly circular motions of those bodies.

We are indebted to the genius of Kepler for having placed the Copernican

system upon a sure and irremovable basis, and for having raised

astronomy to the position of a true physical science. By his discovery

that the planets travel round the Sun in elliptical orbits, he was

enabled to abolish cycles and epicycles, which created such confusion

and entanglement in the system, and to explain many apparent

irregularities of motion by ascribing to the Sun his true position with

regard to the motions of the planets.

After the death of Kepler, which occurred in 1630, the most eminent

supporter of the Copernican theory was the illustrious Galileo, whose

belief in its accuracy and truthfulness was confirmed by his own

discoveries.

Five of the planets were known at this time--viz. Mercury, Venus, Mars,

Jupiter, and Saturn; the latter, which revolves in its orbit at a

profound distance from the Sun, formed what at that time was believed to

be the boundary of the planetary system. The distance of the Earth from

the Sun was approximately known, and the orb was observed to rotate on

his axis.

It was also ascertained that the Moon shone by reflected light, and that

her surface was varied by inequalities resembling those of our Earth.

The elliptical form of her orbit had been discovered by Horrox, and her

elements were computed with a certain degree of accuracy.

The cloudy luminosity of the Milky Way had been resolved into a

multitude of separate stars, disclosing the immensity of the stellar

universe.

The crescent form of the planet Venus, the satellites of Jupiter and of

Saturn, and the progressive motion and measurement of light, had also

been discovered. Observations were made of transits of Mercury and

Venus, and refracting and reflecting telescopes were invented.

The law of universal gravitation, a power which retains the Earth and

planets in their orbits, causing them year after year to describe with

unerring regularity their oval paths round the Sun, was not known at

this time. Though Newton was born in 1642, he did not disclose the

results of his philosophic investigations until 1687--thirteen years

after the death of Milton--when, in the 'Principia,' he announced his

discovery of the great law of universal gravitation.

Kepler, though he discovered the laws of planetary motion, was unable to

determine the motive force which guided and retained those bodies in

their orbits. It was reserved for the genius of Newton to solve this

wonderful problem. This great philosopher was able to prove 'that every

particle of matter in the universe attracts every other particle with a

force proportioned to the mass of the attracting body, and inversely as

the square of the distance between them.' Newton was capable of

demonstrating that the force which guides and retains the Earth and

planets in their orbits resides in the Sun, and by the application of

this law of gravitation he was able to explain the motions of all

celestial bodies entering into the structure of the solar system.

This discovery may be regarded as the crowning point of the science of

astronomy, for, upon the unfailing energy of this mysterious power

depend the order and stability of the universe, extending as it does to

all material bodies existing in space, guiding, controlling, and

retaining them in their several paths and orbits, whether it be a tiny

meteor, a circling planet, or a mighty sun.

The nature of cometary bodies and the laws which govern their motions

were at this time still enshrouded in mystery, and when one of those

erratic wanderers made its appearance in the sky it was beheld by the

majority of mankind with feelings of awe and superstitious dread, and

regarded as a harbinger of evil and disaster, the precursor of war, of

famine, or the overthrow of an empire.

Newton, however, was able to divest those bodies of the mystery with

which they were surrounded by proving that any conic section may be

described about the Sun, consistent with the law of gravitation, and

that comets, notwithstanding the eccentricity of their orbits, obey the

laws of planetary motion.

Beyond the confines of our solar system, little was known of the

magnitude and extent of the sidereal universe which occupies the

infinitude of space by which we are surrounded. The stars were

recognised as self-luminous bodies, inconceivably remote, and although

they excited the curiosity of observers, and conjectures were made as to

their origin, yet no conclusive opinions were arrived at with regard to

their nature and constitution, and except that they were regarded as

glittering points of light which illumine the firmament, all else

appertaining to them remained an unravelled mystery. Even Copernicus had

no notion of a universe of stars.

Galileo, by his discovery that the galaxy consists of a multitude of

separate stars too remote to be defined by ordinary vision, demonstrated

how vast are the dimensions of the starry heavens, and on what a

stupendous scale the universe is constructed. But at this time it had

not occurred to astronomers, nor was it known until many years after,

that the stars are suns which shine with a splendour resembling that of

our Sun, and in many instances surpassing it. It was not until this

truth became known that the glories of the sidereal heavens were fully

comprehended, and their magnificence revealed. It was then ascertained

that the minute points of light which crowd the fields of our largest

telescopes, in their aggregations forming systems, clusters, galaxies,

and universes of stars, are shining orbs of light, among the countless

multitudes of which our Sun may be numbered as one.

The Astronomy of Milton's 'Paradise Lost' · 第 2 / 9 章