The effect of the diurnal motion is conspicuous to every one, and

explains the rising, southing, and setting of the whole visible

firmament. The effect of the annual motion, _i.e._ of the apparent

annual motion, of the sun among the stars, is less obvious, but it may

be followed easily enough by observing the stars visible at any given

time of evening at different seasons of the year. At midnight, for

instance, the position of the sun is definite, viz. due north always,

but the constellation which at that time is due south or is rising or

setting varies with the time of year; an interval of one month producing

just the same effect on the appearance of the constellations as an

interval of two hours does (because the day contains twice as many hours

as the year contains months), _e.g._ the sky looks the same at midnight

on the 1st of October as it does at 10 p.m. on the 1st of November.

All these simple consequences of the geocentric as opposed to the

heliocentric point of view were pointed out by Copernicus, in addition

to his greater work of constructing improved planetary tables on the

basis of his theory. But it must be admitted that he himself felt the

hypothesis of the motion of the earth to be a difficulty. Its acceptance

is by no means such an easy and childish matter as we are apt now to

regard it, and the hostility to it is not at all surprising. The human

race, after having ridiculed and resisted the truth for a long time, is

apt to end in accepting it so blindly and unimaginatively as to fail to

recognize the real achievement of its first propounders, or the

difficulties which they had to overcome. The majority of men at the

present day have grown accustomed to hear the motion of the earth spoken

of: their acceptance of it means nothing: the attitude of the paradoxer

who denies it is more intelligent.

It is not to be supposed that the idea of thus explaining some of the

phenomena of the heavens, especially the daily motion of the entire

firmament, by a diurnal rotation of the earth had not struck any one. It

was often at this time referred to as the Pythagorean theory, and it had

been taught, I believe, by Aristarchus. But it was new to the modern

world, and it had the great weight of Aristotle against it.

Consequently, for long after Copernicus, only a few leading spirits

could be found to support it, and the long-established venerable

Ptolemaic system continued to be taught in all Universities.

The main objections to the motion of the earth were such as the

following:--

1. The motion is unfelt and difficult to imagine.

That it is unfelt is due to its uniformity, and can be explained

mechanically. That it is difficult to imagine is and remains true,

but a most important lesson we have to learn is that difficulty of

conception is no valid argument against reality.

2. That the stars do not alter their relative positions according to

the season of the year, but the constellations preserve always the same

aspect precisely, even to careful measurement.

This is indeed a difficulty, and a great one. In June the earth is

184 million miles away from where it was in December: how can we

see precisely the same fixed stars? It is not possible, unless they

are at a practically infinite distance. That is the only answer

that can be given. It was the tentative answer given by Copernicus.

It is the correct answer. Not only from every position of the

earth, but from every planet of the solar system, the same

constellations are visible, and the stars have the same aspect. The

whole immensity of the solar system shrinks to practically a point

when confronted with the distance of the stars.

Not, however, so entirely a speck as to resist the terrific

accuracy of the present century, and their microscopic relative

displacement with the season of the year has now at length been

detected, and the distance of many thereby measured.

3. That, if the earth revolved round the sun, Mercury and Venus ought to

show phases like the moon.

So they ought. Any globe must show phases if it live nearer the sun

than we do and if we go round it, for we shall see varying amounts

of its illuminated half. The only answer that Copernicus could give

to this was that they might be difficult to see without extra

powers of sight, but he ventured to predict that the phases would

be seen if ever our powers of vision should be enhanced.

4. That if the earth moved, or even revolved on its own axis, a stone or

other dropped body ought to be left far behind.

This difficulty is not a real one, like the two last, and it is

based on an ignorance of the laws of mechanics, which had not at

that time been formulated. We know now that a ball dropped from a

high tower, so far from lagging, drops a minute trifle _in front_

of the foot of a perpendicular, because the top of the tower is

moving a trace faster than the bottom, by reason of the diurnal

rotation. But, ignoring this, a stone dropped from the lamp of a

railway carriage drops in the centre of the floor, whether the

carriage be moving steadily or standing still; a slant direction of

fall could only be detected if the carriage were being accelerated

or if the brake were applied. A body dropped from a moving carriage

shares the motion of the carriage, and starts with that as its

initial velocity. A ball dropped from a moving balloon does not

simply drop, but starts off in whatever direction the car was

moving, its motion being immediately modified by gravity, precisely

in the same way as that of a thrown ball is modified. This is,

indeed, the whole philosophy of throwing--to drop a ball from a

moving carriage. The carriage is the hand, and, to throw far, a run

is taken and the body is jerked forward; the arm is also moved as

rapidly as possible on the shoulder as pivot. The fore-arm can be

moved still faster, and the wrist-joint gives yet another motion:

the art of throwing is to bring all these to bear at the same

instant, and then just as they have all attained their maximum

velocity to let the ball go. It starts off with the initial

velocity thus imparted, and is abandoned to gravity. If the vehicle

were able to continue its motion steadily, as a balloon does, the

ball when let go from it would appear to the occupant simply to

drop; and it would strike the ground at a spot vertically under the

moving vehicle, though by no means vertically below the place where

it started. The resistance of the air makes observations of this

kind inaccurate, except when performed inside a carriage so that

the air shares in the motion. Otherwise a person could toss and

catch a ball out of a train window just as well as if he were

stationary; though to a spectator outside he would seem to be using

great skill to throw the ball in the parabola adapted to bring it

back to his hand.

The same circumstance enhances the apparent difficulty of the

circus rider's jumping feats. All he has to do is to jump up and

down on the horse; the forward motion which carries him through

hoops belongs to him by virtue of the motion of the horse, without

effort on his part.

Thus, then, it happens that a stone dropped sixteen feet on the

earth appears to fall straight down, although its real path in

space is a very flat trajectory of nineteen miles base and sixteen

feet height; nineteen miles being the distance traversed by the

earth every second in the course of its annual journey round the

sun.

No wonder that it was thought that bodies must be left behind if

the earth was subject to such terrific speed as this. All that

Copernicus could suggest on this head was that perhaps the

atmosphere might help to carry things forward, and enable them to

keep pace with the earth.

There were thus several outstanding physical difficulties in the way of

the acceptance of the Copernican theory, besides the Biblical

difficulty.

It was quite natural that the idea of the earth's motion should be

repugnant, and take a long time to sink into the minds of men; and as

scientific progress was vastly slower then than it is now, we find not

only all priests but even some astronomers one hundred years afterwards

still imagining the earth to be at rest. And among them was a very

eminent one, Tycho Brahe.

It is interesting to note, moreover, that the argument about the motion

of the earth being contrary to Scripture appealed not only to

ecclesiastics in those days, but to scientific men also; and Tycho

Brahe, being a man of great piety, and highly superstitious also, was so

much influenced by it, that he endeavoured to devise some scheme by

which the chief practical advantages of the Copernican system could be

retained, and yet the earth be kept still at the centre of the whole.

This was done by making all the celestial sphere, with stars and

everything, rotate round the earth once a day, as in the Ptolemaic

scheme; and then besides this making all the planets revolve round the

sun, and this to revolve round the earth. Such is the Tychonic system.

So far as _relative_ motion is concerned it comes to the same thing;

just as when you drop a book you may say either that the earth rises to

meet the book, or that the book falls to meet the earth. Or when a fly

buzzes round your head, you may say that you are revolving round the

fly. But the absurdity of making the whole gigantic system of sun and

planets and stars revolve round our insignificant earth was too great to

be swallowed by other astronomers after they had once had a taste of the

Copernican theory; and accordingly the Tychonic system died a speedy and

an easy death at the same time as its inventor.

Wherein then lay the magnitude of the man?--not in his theories, which

were puerile, but in his observations, which were magnificent. He was

the first observational astronomer, the founder of the splendid system

of practical astronomy which has culminated in the present Greenwich

Observatory.

[Illustration: FIG. 16.--Tychonic system showing the sun with all the

planets revolving round the earth.]

Up to Tycho the only astronomical measurements had been of the rudest

kind. Copernicus even improved upon what had gone before, with measuring

rules made with his own hands. Ptolemy's observations could never be

trusted to half a degree. Tycho introduced accuracy before undreamed of,

and though his measurements, reckoned by modern ideas, are of course

almost ludicrously rough (remember no such thing as a telescope or

microscope was then dreamed of), yet, estimated by the era in which they

were made, they are marvels of accuracy, and not a single mistake due

to carelessness has ever been detected in them. In fact they may be

depended on almost to minutes of arc, _i.e._ to sixtieths of a degree.

For certain purposes connected with the proper motion of stars they are

still appealed to, and they served as the certain and trustworthy data

for succeeding generations of theorists to work upon. It was long,

indeed, after Tycho's death before observations approaching in accuracy

to his were again made.

In every sense, therefore, he was a pioneer: let us proceed to trace his

history.

Born the eldest son of a noble family--"as noble and ignorant as sixteen

undisputed quarterings could make them," as one of his biographers

says--in a period when, even more than at present, killing and hunting

were the only natural aristocratic pursuits, when all study was regarded

as something only fit for monks, and when science was looked at askance

as something unsavoury, useless, and semi-diabolic, there was little in

his introduction to the world urging him in the direction where his

genius lay. Of course he was destined for a soldier; but fortunately his

uncle, George Brahe, a more educated man than his father, having no son

of his own, was anxious to adopt him, and though not permitted to do so

for a time, succeeded in getting his way on the birth of a second son,

Steno--who, by the way, ultimately became Privy Councillor to the King

of Denmark.

Tycho's uncle gave him what he would never have got at home--a good

education; and ultimately put him to study law. At the age of thirteen

he entered the University of Copenhagen, and while there occurred the

determining influence of his life.

An eclipse of the sun in those days was not regarded with the

cold-blooded inquisitiveness or matter-of-fact apathy, according as

there is or is not anything to be learnt from it, with which such an

event is now regarded. Every occurrence in the heavens was then

believed to carry with it the destiny of nations and the fate of

individuals, and accordingly was of surpassing interest. Ever since the

time of Hipparchus it had been possible for some capable man here and

there to predict the occurrence of eclipses pretty closely. The thing is

not difficult. The prediction was not, indeed, to the minute and second,

as it is now; but the day could usually be hit upon pretty accurately

some time ahead, much as we now manage to hit upon the return of a

comet--barring accidents; and the hour could be predicted as the event

approached.

Well, the boy Tycho, among others, watched for this eclipse on August

21st, 1560; and when it appeared at its appointed time, every instinct

for the marvellous, dormant in his strong nature, awoke to strenuous

life, and he determined to understand for himself a science permitting

such wonderful possibilities of prediction. He was sent to Leipzig with

a tutor to go on with his study of law, but he seems to have done as

little law as possible: he spent all his money on books and instruments,

and sat up half the night studying and watching the stars.

In 1563 he observed a conjunction of Jupiter and Saturn, the precursor,

and _cause_ as he thought it, of the great plague. He found that the old

planetary tables were as much as a month in error in fixing this event,

and even the Copernican tables were several days out; so he formed the

resolve to devote his life to improving astronomical tables. This

resolve he executed with a vengeance. His first instrument was a jointed

ruler with sights for fixing the position of planets with respect to the

stars, and observing their stations and retrogressions. By thus

measuring the angles between a planet and two fixed stars, its position

can be plotted down on a celestial map or globe.

[Illustration: FIG. 17.--Portrait of Tycho.]

In 1565 his uncle George died, and made Tycho his heir. He returned to

Denmark, but met with nothing but ridicule and contempt for his absurd

drivelling away of time over useless pursuits. So he went back to

Germany--first to Wittenberg, thence, driven by the plague, to Rostock.

Here his fiery nature led him into an absurd though somewhat dangerous

adventure. A quarrel at some feast, on a mathematical point, with a

countryman, Manderupius, led to the fixing of a duel, and it was fought

with swords at 7 p.m. at the end of December, when, if there was any

light at all, it must have been of a flickering and unsatisfactory

nature. The result of this insane performance was that Tycho got his

nose cut clean off.

He managed however to construct an artificial one, some say of gold and

silver, some say of putty and brass; but whatever it was made of there

is no doubt that he wore it for the rest of his life, and it is a most

famous feature. It excited generally far more interest than his

astronomical researches. It is said, moreover, to have very fairly

resembled the original, but whether this remark was made by a friend or

by an enemy I cannot say. One account says that he used to carry about

with him a box of cement to apply whenever his nose came off, which it

periodically did.

About this time he visited Augsburg, met with some kindred and

enlightened spirits in that town, and with much enthusiasm and spirit

constructed a great quadrant. These early instruments were tremendous

affairs. A great number of workmen were employed upon this quadrant, and

it took twenty men to carry it to its place and erect it. It stood in

the open air for five years, and then was destroyed by a storm. With it

he made many observations.

[Illustration: FIG. 18.--Early out-door quadrant of Tycho; for

observing altitudes by help of the sights _D_, _L_ and the plumb line.]

On his return to Denmark in 1571, his fame preceded him, and he was

much better received; and in order to increase his power of constructing

instruments he took up the study of alchemy, and like the rest of the

persuasion tried to make gold. The precious metals were by many old

philosophers considered to be related in some way to the heavenly

bodies: silver to the moon, for instance--as we still see by the name

lunar caustic applied to nitrate of silver; gold to the sun, copper to

Mars, lead to Saturn. Hence astronomy and alchemy often went together.

Tycho all his life combined a little alchemy with his astronomical

labours, and he constructed a wonderful patent medicine to cure all

disorders, which had as wide a circulation in Europe in its time as

Holloway's pills; he gives a tremendous receipt for it, with liquid gold

and all manner of ingredients in it; among them, however, occurs a

little antimony--a well-known sudorific--and to this, no doubt, whatever

efficacy the medicine possessed was due.

So he might have gone on wasting his time, were it not that in November,

1572, a new star made its appearance, as they have done occasionally

before and since. On the average one may say that about every fifty

years a new star of fair magnitude makes its temporary appearance. They

are now known to be the result of some catastrophe or collision, whereby

immense masses of incandescent gas are produced. This one seen by Tycho

became as bright as Jupiter, and then died away in about a year and a

half. Tycho observed all its changes, and endeavoured to measure its

distance from the earth, with the result that it was proved to belong to

the region of the fixed stars, at an immeasurable distance, and was not

some nearer and more trivial phenomenon.

He was asked by the University of Copenhagen to give a course of

lectures on astronomy; but this was a step he felt some aristocratic

aversion to, until a little friendly pressure was brought to bear upon

him by a request from the king, and delivered they were.

He now seems to have finally thrown off his aristocratic prejudices, and

to have indulged himself in treading on the corns of nearly all the high

and mighty people he came into contact with. In short, he became what we

might now call a violent Radical; but he was a good-hearted man,

nevertheless, and many are the tales told of his visits to sick

peasants, of his consulting the stars as to their fate--all in perfect

good faith--and of the medicines which he concocted and prescribed for

them.

The daughter of one of these peasants he married, and very happy the

marriage seems to have been.

[Illustration: FIG. 19.--Map of Denmark, showing the island of Huen.

_Walker & Boutallse._]

Now comes the crowning episode in Tycho's life. Frederick II., realizing

how eminent a man they had among them, and how much he could do if only

he had the means--for we must understand that Tycho, though of good

family and well off, was by no means what we would call a wealthy

man--Frederick II. made him a splendid and enlightened offer. The offer

was this: that if Tycho would agree to settle down and make his

astronomical observations in Denmark, he should have an estate in Norway

settled upon him, a pension of L400 a year for life, a site for a large

observatory, and L20,000 to build it with.

[Illustration: FIG. 20.--Uraniburg.]

[Illustration: FIG. 21.--Astrolabe. An old instrument with sights for

marking the positions of the celestial bodies roughly. A sort of

skeleton celestial globe.]

[Illustration:

SEXTANS ASTRONOMICVS

TRIGONICVS PRO DISTANTIIS

rimandis.

FIG. 22.--Tycho's large sextant; for measuring the angular distance

between two bodies by direct sighting.]

Well, if ever money was well spent, this was. By its means Denmark

before long headed the nations of Europe in the matter of science--a

thing it has not done before or since. The site granted was the island

of Huen, between Copenhagen and Elsinore; and here the most magnificent

observatory ever built was raised, and called Uraniburg--the castle of

the heavens. It was built on a hill in the centre of the island, and

included gardens, printing shops, laboratory, dwelling-houses, and four

observatories--all furnished with the most splendid instruments that

Tycho could devise, and that could then be constructed. It was decorated

with pictures and sculptures of eminent men, and altogether was a most

gorgeous place. L20,000 no doubt went far in those days, but the

original grant was supplemented by Tycho himself, who is said to have

spent another equal sum out of his own pocket on the place.

[Illustration: QVADRANS MAXIMVS CHALIBEUS QUADRATO INCLUSUS, ET

Horizonti Azimuthali chalybeo insistens.

FIG. 23.--The Quadrant in Uraniburg; or altitude and azimuth

instrument.]

For twenty years this great temple of science was continually worked in

by him, and he soon became the foremost scientific man in Europe.

Philosophers, statesmen, and occasionally kings, came to visit the great

astronomer, and to inspect his curiosities.

[Illustration:

QVADRANS MVRALIS

SIVE TICHONICUS.

FIG. 24.--Tycho's form of transit circle.

The method of utilising the extremely uniform rotation of the earth by

watching the planets and stars as they cross the meridian, and recording

their times of transit; observing also at the same time their meridian

altitudes (see observer _F_), was the invention of Tycho, and

constitutes his greatest achievement. His method is followed to this day

in all observatories.]

[Illustration: FIG. 25.--A modern transit circle, showing essentially

the same parts as in Tycho's instrument, viz. the observer watching the

transit, the clock, the recorder of the observation, and the graduated

circle; the latter to be read by a second observer.]

And very wholesome for some of these great personages must have been the

treatment they met with. For Tycho was no respecter of persons. His

humbly-born wife sat at the head of the table, whoever was there; and he

would snub and contradict a chancellor just as soon as he would a serf.

Whatever form his pride may have taken when a youth, in his maturity it

impelled him to ignore differences of rank not substantially justified,

and he seemed to take a delight in exposing the ignorance of shallow

titled persons, to whom contradiction and exposure were most unusual

experiences.

For sick peasants he would take no end of trouble, and went about

doctoring them for nothing, till he set all the professional doctors

against him; so that when his day of misfortune came, as come it did,

their influence was not wanting to help to ruin one who spoilt their

practice, and whom they derided as a quack.

But some of the great ignorant folk who came to visit his temple of

science, and to inspect its curiosities, felt themselves insulted--not

always without reason. He kept a tame maniac in the house, named Lep,

and he used to regard the sayings of this personage as oracular,

presaging future events, and far better worth listening to than ordinary

conversation. Consequently he used to have him at his banquets and feed

him himself; and whenever Lep opened his mouth to speak, every one else

was peremptorily ordered to hold his tongue, so that Lep's words might

be written down. In fact it was something like an exaggerated edition of

Betsy Trotwood and Mr. Dick.

"It must have been an odd dinner party" (says Prof. Stuart), "with this

strange, wild, terribly clever man, with his red hair and brazen nose,

sometimes flashing with wit and knowledge, sometimes making the whole

company, princes and servants alike, hold their peace and listen humbly

to the ravings of a poor imbecile."

To people he despised he did not show his serious instruments. He had

other attractions, in the shape of a lot of toy machinery, little

windmills, and queer doors, and golden globes, and all manner of

ingenious tricks and automata, many of which he had made himself, and

these he used to show them instead; and no doubt they were well enough

pleased with them. Those of the visitors, however, who really cared to

see and understand his instruments, went away enchanted with his genius

and hospitality.

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