His next advance in instrumental equipment was to provide himself

with the contrivance known as the "cross-staff," which he used to

observe the stars whenever opportunity offered. It must, of course,

be remembered that in those days there were no telescopes. In the

absence of optical aid, such as lenses afford the modern observers,

astronomers had to rely on mechanical appliances alone to measure the

places of the stars. Of such appliances, perhaps the most ingenious

was one known before Tycho's time, which we have represented in the

adjoining figure.

[PLATE: TYCHO'S CROSS STAFF.]

Let us suppose that it be desired to measure the angle between two

stars, then if the angle be not too large it can be determined in the

following manner. Let the rod AB be divided into inches and parts of

an inch, and let another rod, CD, slide up and down along AB in such

a way that the two always remain perpendicular to each other.

"Sights," like those on a rifle, are placed at A and C, and there is

a pin at D. It will easily be seen that, by sliding the movable bar

along the fixed one, it must always be possible when the stars are

not too far apart to bring the sights into such positions that one

star can be seen along DC and the other along DA. This having been

accomplished, the length from A to the cross-bar is read off on the

scale, and then, by means of a table previously prepared, the value

of the required angular distance is obtained. If the angle between

the two stars were greater than it would be possible to measure in

the way already described, then there was a provision by which the

pin at D might be moved along CD into some other position, so as to

bring the angular distance of the stars within the range of the

instrument.

[PLATE: TYCHO'S "NEW STAR" SEXTANT OF 1572.

(The arms, of walnut wood, are about 5 1/2 ft. long.)]

No doubt the cross-staff is a very primitive contrivance, but when

handled by one so skilful as Tycho it afforded results of

considerable accuracy. I would recommend any reader who may have a

taste for such pursuits to construct a cross-staff for himself, and

see what measurements he can accomplish with its aid.

To employ this little instrument Tycho had to evade the vigilance of

his conscientious tutor, who felt it his duty to interdict all such

occupations as being a frivolous waste of time. It was when Vedel

was asleep that Tycho managed to escape with his cross staff and

measure the places of the heavenly bodies. Even at this early age

Tycho used to conduct his observations on those thoroughly sound

principles which lie at the foundation of all accurate modern

astronomy. Recognising the inevitable errors of workmanship in his

little instrument, he ascertained their amount and allowed for their

influence on the results which he deduced. This principle, employed

by the boy with his cross-staff in 1564, is employed at the present

day by the Astronomer Royal at Greenwich with the most superb

instruments that the skill of modern opticians has been able to

construct.

[PLATE: TYCHO'S TRIGONIC SEXTANT.

(The arms, AB and AC, are about 5 1/2 ft. long.)]

After the death of his uncle, when Tycho was nineteen years of age,

it appears that the young philosopher was no longer interfered with

in so far as the line which his studies were to take was concerned.

Always of a somewhat restless temperament, we now find that he

shifted his abode to the University of Rostock, where he speedily

made himself notable in connection with an eclipse of the moon on

28th October, 1566. Like every other astronomer of those days, Tycho

had always associated astronomy with astrology. He considered that

the phenomena of the heavenly bodies always had some significance in

connection with human affairs. Tycho was also a poet, and in the

united capacity of poet, astrologer, and astronomer, he posted up

some verses in the college at Rostock announcing that the lunar

eclipse was a prognostication of the death of the great Turkish

Sultan, whose mighty deeds at that time filled men's minds. Presently

news did arrive of the death of the Sultan, and Tycho was accordingly

triumphant; but a little later it appeared that the decease had taken

place BEFORE the eclipse, a circumstance which caused many a laugh at

Tycho's expense.

[PLATE: TYCHO'S ASTRONOMIC SEXTANT.

(Made of steel: the arms, AB, AC, measure 4 ft.)

PLATE: TYCHO'S EQUATORIAL ARMILLARY.

(The meridian circle, E B C A D, made of solid steel,

is nearly 6 ft. in diameter.)]

Tycho being of a somewhat turbulent disposition, it appears that,

while at the University of Rostock, he had a serious quarrel with

another Danish nobleman. We are not told for certain what was the

cause of the dispute. It does not, however, seem to have had any

more romantic origin than a difference of opinion as to which of them

knew the more mathematics. They fought, as perhaps it was becoming

for two astronomers to fight, under the canopy of heaven in utter

darkness at the dead of night, and the duel was honourably terminated

when a slice was taken off Tycho's nose by the insinuating sword of

his antagonist. For the repair of this injury the ingenuity of the

great instrument-maker was here again useful, and he made a

substitute for his nose "with a composition of gold and silver." The

imitation was so good that it is declared to have been quite equal to

the original. Dr. Lodge, however, pointedly observes that it does

not appear whether this remark was made by a friend or an enemy.

[PLATE: THE GREAT AUGSBURG QUADRANT.

(Built of heart of oak; the radii about 19 ft.)

PLATE: TYCHO'S "NEW SCHEME OF THE TERRESTRIAL SYSTEM," 1577.]

The next few years Tycho spent in various places ardently pursuing

somewhat varied branches of scientific study. At one time we hear of

him assisting an astronomical alderman, in the ancient city of

Augsburg, to erect a tremendous wooden machine--a quadrant of 19-feet

radius--to be used in observing the heavens. At another time we

learn that the King of Denmark had recognised the talents of his

illustrious subject, and promised to confer on him a pleasant

sinecure in the shape of a canonry, which would assist him with the

means for indulging his scientific pursuits. Again we are told that

Tycho is pursuing experiments in chemistry with the greatest energy,

nor is this so incompatible as might at first be thought with his

devotion to astronomy. In those early days of knowledge the

different sciences seemed bound together by mysterious bonds.

Alchemists and astrologers taught that the several planets were

correlated in some mysterious manner with the several metals. It

was, therefore hardly surprising that Tycho should have included a

study of the properties of the metals in the programme of his

astronomical work.

[PLATE: URANIBORG AND ITS GROUNDS.

PLATE: GROUND-PLAN OF THE OBSERVATORY.]

An event, however, occurred in 1572 which stimulated Tycho's

astronomical labours, and started him on his life's work. On the

11th of November in that year, he was returning home to supper after

a day's work in his laboratory, when he happened to lift his face to

the sky, and there he beheld a brilliant new star. It was in the

constellation of Cassiopeia, and occupied a position in which there

had certainly been no bright star visible when his attention had last

been directed to that part of the heavens. Such a phenomenon was so

startling that he found it hard to trust the evidence of his senses.

He thought he must be the subject of some hallucination. He

therefore called to the servants who were accompanying him, and asked

them whether they, too, could see a brilliant object in the direction

in which he pointed. They certainly could, and thus he became

convinced that this marvellous object was no mere creation of the

fancy, but a veritable celestial body--a new star of surpassing

splendour which had suddenly burst forth. In these days of careful

scrutiny of the heavens, we are accustomed to the occasional outbreak

of new stars. It is not, however, believed that any new star which

has ever appeared has displayed the same phenomenal brilliance as was

exhibited by the star of 1572.

This object has a value in astronomy far greater than it might at

first appear. It is true, in one sense, that Tycho discovered the

new star, but it is equally true, in a different sense, that it was

the new star which discovered Tycho. Had it not been for this

opportune apparition, it is quite possible that Tycho might have

found a career in some direction less beneficial to science than that

which he ultimately pursued.

[PLATE: THE OBSERVATORY OF URANIBORG, ISLAND OF HVEN.]

When he reached his home on this memorable evening, Tycho immediately

applied his great quadrant to the measurement of the place of the new

star. His observations were specially directed to the determination

of the distance of the object. He rightly conjectured that if it

were very much nearer to us than the stars in its vicinity, the

distance of the brilliant body might be determined in a short time by

the apparent changes in its distance from the surrounding points. It

was speedily demonstrated that the new star could not be as near as

the moon, by the simple fact that its apparent place, as compared

with the stars in its neighbourhood, was not appreciably altered when

it was observed below the pole, and again above the pole at an

interval of twelve hours. Such observations were possible, inasmuch

as the star was bright enough to be seen in full daylight. Tycho

thus showed conclusively that the body was so remote that the

diameter of the earth bore an insignificant ratio to the star's

distance. His success in this respect is the more noteworthy when we

find that many other observers, who studied the same object, came to

the erroneous conclusion that the new star was quite as near as the

moon, or even much nearer. In fact, it may be said, that with regard

to this object Tycho discovered everything which could possibly have

been discovered in the days before telescopes were invented. He not

only proved that the star's distance was too great for measurement,

but he showed that it had no proper motion on the heavens. He

recorded the successive changes in its brightness from week to week,

as well as the fluctuations in hue with which the alterations in

lustre were accompanied.

It seems, nowadays, strange to find that such thoroughly scientific

observations of the new star as those which Tycho made, possessed,

even in the eyes of the great astronomer himself, a profound

astrological significance. We learn from Dr. Dreyer that, in Tycho's

opinion, "the star was at first like Venus and Jupiter, and its

effects will therefore, first, be pleasant; but as it then became

like Mars, there will next come a period of wars, seditions,

captivity, and death of princes, and destruction of cities, together

with dryness and fiery meteors in the air, pestilence, and venomous

snakes. Lastly, the star became like Saturn, and thus will finally

come a time of want, death, imprisonment, and all kinds of sad

things!" Ideas of this kind were, however, universally entertained.

It seemed, indeed, obvious to learned men of that period that such an

apparition must forebode startling events. One of the chief theories

then held was, that just as the Star of Bethlehem announced the first

coming of Christ, so the second coming, and the end of the world, was

heralded by the new star of 1572.

The researches of Tycho on this object were the occasion of his first

appearance as an author. The publication of his book was however,

for some time delayed by the urgent remonstrances of his friends, who

thought it was beneath the dignity of a nobleman to condescend to

write a book. Happily, Tycho determined to brave the opinion of his

order; the book appeared, and was the first of a series of great

astronomical productions from the same pen.

[PLATE: EFFIGY ON TYCHO'S TOMB AT PRAGUE.]

The fame of the noble Dane being now widespread, the King of Denmark

entreated him to return to his native country, and to deliver a

course of lectures on astronomy in the University of Copenhagen. With

some reluctance he consented, and his introductory oration has been

preserved. He dwells, in fervent language, upon the beauty and the

interest of the celestial phenomena. He points out the imperative

necessity of continuous and systematic observation of the heavenly

bodies in order to extend our knowledge. He appeals to the practical

utility of the science, for what civilised nation could exist without

having the means of measuring time? He sets forth how the study of

these beautiful objects "exalts the mind from earthly and trivial

things to heavenly ones;" and then he winds up by assuring them that

"a special use of astronomy is that it enables us to draw conclusions

from the movements in the celestial regions as to human fate."

An interesting event, which occurred in 1572, distracted Tycho's

attention from astronomical matters. He fell in love. The young

girl on whom his affections were set appears to have sprung from

humble origin. Here again his august family friends sought to

dissuade him from a match they thought unsuitable for a nobleman.

But Tycho never gave way in anything. It is suggested that he did

not seek a wife among the highborn dames of his own rank from the

dread that the demands of a fashionable lady would make too great an

inroad on the time that he wished to devote to science. At all

events, Tycho's union seems to have been a happy one, and he had a

large family of children; none of whom, however, inherited their

father's talents.

[PLATE: TYCHO'S MURAL QUADRANT PICTURE, URANIBORG.]

Tycho had many scientific friends in Germany, among whom his work was

held in high esteem. The treatment that he there met with seemed to

him so much more encouraging than that which he received in Denmark

that he formed the notion of emigrating to Basle and making it his

permanent abode. A whisper of this intention was conveyed to the

large-hearted King of Denmark, Frederick II. He wisely realised how

great would be the fame which would accrue to his realm if he could

induce Tycho to remain within Danish territory and carry on there the

great work of his life. A resolution to make a splendid proposal to

Tycho was immediately formed. A noble youth was forthwith despatched

as a messenger, and ordered to travel day and night until he reached

Tycho, whom he was to summon to the king. The astronomer was in bed

on the morning of 11th February, 1576, when the message was

delivered. Tycho, of course, set off at once and had an audience of

the king at Copenhagen. The astronomer explained that what he wanted

was the means to pursue his studies unmolested, whereupon the king

offered him the Island of Hven, in the Sound near Elsinore. There he

would enjoy all the seclusion that he could desire. The king further

promised that he would provide the funds necessary for building a

house and for founding the greatest observatory that had ever yet

been reared for the study of the heavens. After due deliberation and

consultation with his friends, Tycho accepted the king's offer. He

was forthwith granted a pension, and a deed was drawn up formally

assigning the Island of Hven to his use all the days of his life.

The foundation of the famous castle of Uraniborg was laid on 30th

August, 1576. The ceremony was a formal and imposing one, in

accordance with Tycho's ideas of splendour. A party of scientific

friends had assembled, and the time had been chosen so that the

heavenly bodies were auspiciously placed. Libations of costly wines

were poured forth, and the stone was placed with due solemnity. The

picturesque character of this wonderful temple for the study of the

stars may be seen in the figures with which this chapter is

illustrated.

One of the most remarkable instruments that has ever been employed in

studying the heavens was the mural quadrant which Tycho erected in

one of the apartments of Uraniborg. By its means the altitudes of

the celestial bodies could be observed with much greater accuracy

than had been previously attainable. This wonderful contrivance is

represented on the preceding page. It will be observed that the

walls of the room are adorned by pictures with a lavishness of

decoration not usually to be found in scientific establishments.

A few years later, when the fame of the observatory at Hven became

more widely spread, a number of young men flocked to Tycho to study

under his direction. He therefore built another observatory for

their use in which the instruments were placed in subterranean rooms

of which only the roofs appeared above the ground. There was a

wonderful poetical inscription over the entrance to this underground

observatory, expressing the astonishment of Urania at finding, even

in the interior of the earth, a cavern devoted to the study of the

heavens. Tycho was indeed always fond of versifying, and he lost no

opportunity of indulging this taste whenever an occasion presented

itself.

Around the walls of the subterranean observatory were the pictures of

eight astronomers, each with a suitable inscription--one of these of

course represented Tycho himself, and beneath were written words to

the effect that posterity should judge of his work. The eighth

picture depicted an astronomer who has not yet come into existence.

Tychonides was his name, and the inscription presses the modest hope

that when he does appear he will be worthy of his great predecessor.

The vast expenses incurred in the erection and the maintenance of

this strange establishment were defrayed by a succession of grants

from the royal purse.

For twenty years Tycho laboured hard at Uraniborg in the pursuit of

science. His work mainly consisted in the determination of the

places of the moon, the planets, and the stars on the celestial

sphere. The extraordinary pains taken by Tycho to have his

observations as accurate as his instruments would permit, have justly

entitled him to the admiration of all succeeding astronomers. His

island home provided the means of recreation as well as a place for

work. He was surrounded by his family, troops of friends were not

wanting, and a pet dwarf seems to have been an inmate of his curious

residence. By way of change from his astronomical labours he used

frequently to work with his students in his chemical laboratory. It

is not indeed known what particular problems in chemistry occupied

his attention. We are told, however, that he engaged largely in the

production of medicines, and as these appear to have been dispensed

gratuitously there was no lack of patients.

Tycho's imperious and grasping character frequently brought him into

difficulties, which seem to have increased with his advancing years.

He had ill-treated one of his tenants on Hven, and an adverse

decision by the courts seems to have greatly exasperated the

astronomer. Serious changes also took place in his relations to the

court at Copenhagen. When the young king was crowned in 1596, he

reversed the policy of his predecessor with reference to Hven. The

liberal allowances to Tycho were one after another withdrawn, and

finally even his pension was stopped. Tycho accordingly abandoned

Hven in a tumult of rage and mortification. A few years later we

find him in Bohemia a prematurely aged man, and he died on the 24th

October, 1601.

GALILEO.

Among the ranks of the great astronomers it would be difficult to

find one whose life presents more interesting features and remarkable

vicissitudes than does that of Galileo. We may consider him as the

patient investigator and brilliant discoverer. We may consider him

in his private relations, especially to his daughter, Sister Maria

Celeste, a woman of very remarkable character; and we have also the

pathetic drama at the close of Galileo's life, when the philosopher

drew down upon himself the thunders of the Inquisition.

The materials for the sketch of this astonishing man are sufficiently

abundant. We make special use in this place of those charming

letters which his daughter wrote to him from her convent home. More

than a hundred of these have been preserved, and it may well be

doubted whether any more beautiful and touching series of letters

addressed to a parent by a dearly loved child have ever been

written. An admirable account of this correspondence is contained in

a little book entitled "The Private Life of Galileo," published

anonymously by Messrs. Macmillan in 1870, and I have been much

indebted to the author of that volume for many of the facts contained

in this chapter.

Galileo was born at Pisa, on 18th February, 1564. He was the eldest

son of Vincenzo de' Bonajuti de' Galilei, a Florentine noble.

Notwithstanding his illustrious birth and descent, it would seem that

the home in which the great philosopher's childhood was spent was an

impoverished one. It was obvious at least that the young Galileo

would have to be provided with some profession by which he might earn

a livelihood. From his father he derived both by inheritance and by

precept a keen taste for music, and it appears that he became an

excellent performer on the lute. He was also endowed with

considerable artistic power, which he cultivated diligently. Indeed,

it would seem that for some time the future astronomer entertained

the idea of devoting himself to painting as a profession. His

father, however, decided that he should study medicine. Accordingly,

we find that when Galileo was seventeen years of age, and had added a

knowledge of Greek and Latin to his acquaintance with the fine arts,

he was duly entered at the University of Pisa.

Here the young philosopher obtained some inkling of mathematics,

whereupon he became so much interested in this branch of science,

that he begged to be allowed to study geometry. In compliance with

his request, his father permitted a tutor to be engaged for this

purpose; but he did so with reluctance, fearing that the attention of

the young student might thus be withdrawn from that medical work

which was regarded as his primary occupation. The event speedily

proved that these anxieties were not without some justification. The

propositions of Euclid proved so engrossing to Galileo that it was

thought wise to avoid further distraction by terminating the

mathematical tutor's engagement. But it was too late for the desired

end to be attained. Galileo had now made such progress that he was

able to continue his geometrical studies by himself. Presently he

advanced to that famous 47th proposition which won his lively

admiration, and on he went until he had mastered the six books of

Euclid, which was a considerable achievement for those days.

The diligence and brilliance of the young student at Pisa did not,

however, bring him much credit with the University authorities. In

those days the doctrines of Aristotle were regarded as the embodiment

of all human wisdom in natural science as well as in everything

else. It was regarded as the duty of every student to learn

Aristotle off by heart, and any disposition to doubt or even to

question the doctrines of the venerated teacher was regarded as

intolerable presumption. But young Galileo had the audacity to think

for himself about the laws of nature. He would not take any

assertion of fact on the authority of Aristotle when he had the means

of questioning nature directly as to its truth or falsehood. His

teachers thus came to regard him as a somewhat misguided youth,

though they could not but respect the unflagging industry with which

he amassed all the knowledge he could acquire.

[PLATE: GALILEO'S PENDULUM.]

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