Many great discoveries now crowded in upon Newton. He first of all

gave the explanation of the tides that ebb and flow around our

shores. Even in the earliest times the tides had been shown to be

related to the moon. It was noticed that the tides were specially

high during full moon or during new moon, and this circumstance

obviously pointed to the existence of some connection between the

moon and these movements of the water, though as to what that

connection was no one had any accurate conception until Newton

announced the law of gravitation. Newton then made it plain that the

rise and fall of the water was simply a consequence of the attractive

power which the moon exerted upon the oceans lying upon our globe. He

showed also that to a certain extent the sun produces tides, and he

was able to explain how it was that when the sun and the moon both

conspire, the joint result was to produce especially high tides,

which we call "spring tides"; whereas if the solar tide was low,

while the lunar tide was high, then we had the phenomenon of "neap"

tides.

But perhaps the most signal of Newton's applications of the law of

gravitation was connected with certain irregularities in the

movements of the moon. In its orbit round the earth our satellite

is, of course, mainly guided by the great attraction of our globe. If

there were no other body in the universe, then the centre of the moon

must necessarily perform an ellipse, and the centre of the earth

would lie in the focus of that ellipse. Nature, however, does not

allow the movements to possess the simplicity which this arrangement

would imply, for the sun is present as a source of disturbance. The

sun attracts the moon, and the sun attracts the earth, but in

different degrees, and the consequence is that the moon's movement

with regard to the earth is seriously affected by the influence of

the sun. It is not allowed to move exactly in an ellipse, nor is the

earth exactly in the focus. How great was Newton's achievement in

the solution of this problem will be appreciated if we realise that

he not only had to determine from the law of gravitation the nature

of the disturbance of the moon, but he had actually to construct the

mathematical tools by which alone such calculations could be

effected.

The resources of Newton's genius seemed, however, to prove equal to

almost any demand that could be made upon it. He saw that each

planet must disturb the other, and in that way he was able to render

a satisfactory account of certain phenomena which had perplexed all

preceding investigators. That mysterious movement by which the pole

of the earth sways about among the stars had been long an unsolved

enigma, but Newton showed that the moon grasped with its attraction

the protuberant mass at the equatorial regions of the earth, and thus

tilted the earth's axis in a way that accounted for the phenomenon

which had been known but had never been explained for two thousand

years. All these discoveries were brought together in that immortal

work, Newton's "Principia."

Down to the year 1687, when the "Principia" was published, Newton had

lived the life of a recluse at Cambridge, being entirely occupied

with those transcendent researches to which we have referred. But in

that year he issued from his seclusion under circumstances of

considerable historical interest. King James the Second attempted an

invasion of the rights and privileges of the University of Cambridge

by issuing a command that Father Francis, a Benedictine monk, should

be received as a Master of Arts in the University, without having taken

the oaths of allegiance and supremacy. With this arbitrary command

the University sternly refused to comply. The Vice-Chancellor was

accordingly summoned to answer for an act of contempt to the authority

of the Crown. Newton was one of nine delegates who were chosen to

defend the independence of the University before the High Court.

They were able to show that Charles the Second, who had issued a

MANDAMUS under somewhat similar circumstances, had been induced after

due consideration to withdraw it. This argument appeared satisfactory,

and the University gained their case. Newton's next step in public

life was his election, by a narrow majority, as member for the

University, and during the years 1688 and 1689, he seems to have

attended to his parliamentary duties with considerable regularity.

An incident which happened in 1692 was apparently the cause of

considerable disturbance in Newton's equanimity, if not in his

health. He had gone to early morning chapel, leaving a lighted

candle among his papers on his desk. Tradition asserts that his

little dog "Diamond" upset the candle; at all events, when Newton

came back he found that many valuable papers had perished in a

conflagration. The loss of these manuscripts seems to have had a

serious effect. Indeed, it has been asserted that the distress

reduced Newton to a state of mental aberration for a considerable

time. This has, apparently, not been confirmed, but there is no

doubt that he experienced considerable disquiet, for in writing on

September 13th, 1693, to Mr. Pepys, he says:

"I am extremely troubled at the embroilment I am in, and have

neither ate nor slept well this twelve-month, nor have my former

consistency of mind."

Notwithstanding the fame which Newton had achieved, by the

publication of his, "Principia," and by all his researches, the State

had not as yet taken any notice whatever of the most illustrious man

of science that this or any other country has ever produced. Many of

his friends had exerted themselves to procure him some permanent

appointment, but without success. It happened, however, that Mr.

Montagu, who had sat with Newton in Parliament, was appointed

Chancellor of the Exchequer in 1694. Ambitious of distinction in his

new office, Mr. Montagu addressed himself to the improvement of the

current coin, which was then in a very debased condition. It

fortunately happened that an opportunity occurred of appointing a new

official in the Mint; and Mr. Montagu on the 19th of March, 1695,

wrote to offer Mr. Newton the position of warden. The salary was to

be five or six hundred a year, and the business would not require

more attendance than Newton could spare. The Lucasian professor

accepted this post, and forthwith entered upon his new duties.

The knowledge of physics which Newton had acquired by his experiments

was of much use in connection with his duties at the Mint. He

carried out the re-coinage with great skill in the course of two

years, and as a reward for his exertions, he was appointed, in 1697,

to the Mastership of the Mint, with a salary between 1,200 Pounds and

1,500 Pounds per annum. In 1701, his duties at the Mint being so

engrossing, he resigned his Lucasian professorship at Cambridge, and

at the same time he had to surrender his fellowship at Trinity

College. This closed his connection with the University of

Cambridge. It should, however, be remarked that at a somewhat

earlier stage in his career he was very nearly being appointed to an

office which might have enabled the University to retain the great

philosopher within its precincts. Some of his friends had almost

succeeded in securing his nomination to the Provostship of King's

College, Cambridge; the appointment, however, fell through, inasmuch

as the statute could not be evaded, which required that the Provost

of King's College should be in holy orders.

In those days it was often the custom for illustrious mathematicians,

when they had discovered a solution for some new and striking

problem, to publish that problem as a challenge to the world, while

withholding their own solution. A famous instance of this is found

in what is known as the Brachistochrone problem, which was solved by

John Bernouilli. The nature of this problem may be mentioned. It

was to find the shape of the curve along which a body would slide

down from one point (A) to another point (B) in the shortest time. It

might at first be thought that the straight line from A to B, as it

is undoubtedly the shortest distance between the points, would also

be the path of quickest descent; but this is not so. There is a

curved line, down which a bead, let us say, would run on a smooth

wire from A to B in a shorter time than the same bead would require

to run down the straight wire. Bernouilli's problem was to find out

what that curve must be. Newton solved it correctly; he showed that

the curve was a part of what is termed a cycloid--that is to say, a

curve like that which is described by a point on the rim of a

carriage-wheel as the wheel runs along the ground. Such was Newton's

geometrical insight that he was able to transmit a solution of the

problem on the day after he had received it, to the President of the

Royal Society.

In 1703 Newton, whose world wide fame was now established, was

elected President of the Royal Society. Year after year he was

re-elected to this distinguished position, and his tenure, which

lasted twenty-five years, only terminated with his life. It was in

discharge of his duties as President of the Royal Society that Newton

was brought into contact with Prince George of Denmark. In April,

1705, the Queen paid a visit to Cambridge as the guest of Dr.

Bentley, the then Master of Trinity, and in a court held at Trinity

Lodge on April 15th, 1705, the honour of knighthood was conferred

upon the discoverer of gravitation.

Urged by illustrious friends, who sought the promotion of knowledge,

Newton gave his attention to the publication of a new edition of the

"Principia." His duties at the Mint, however, added to the supreme

duty of carrying on his original investigations, left him but little

time for the more ordinary task of the revision. He was accordingly

induced to associate with himself for this purpose a distinguished

young mathematician, Roger Coates, a Fellow of Trinity College,

Cambridge, who had recently been appointed Plumian Professor of

Astronomy. On July 27th, 1713, Newton, by this time a favourite at

Court, waited on the Queen, and presented her with a copy of the new

edition of the "Principia."

Throughout his life Newton appears to have been greatly interested in

theological studies, and he specially devoted his attention to the

subject of prophecy. He left behind him a manuscript on the

prophecies of Daniel and the Apocalypse of St. John, and he also

wrote various theological papers. Many other subjects had from time

to time engaged his attention. He studied the laws of heat; he

experimented in pursuit of the dreams of the Alchymist; while the

philosopher who had revealed the mechanism of the heavens found

occasional relaxation in trying to interpret hieroglyphics. In the

last few years of his life he bore with fortitude a painful ailment,

and on Monday, March 20th, 1727, he died in the eighty-fifth year of

his age. On Tuesday, March 28th, he was buried in Westminster Abbey.

Though Newton lived long enough to receive the honour that his

astonishing discoveries so justly merited, and though for many years

of his life his renown was much greater than that of any of his

contemporaries, yet it is not too much to say that, in the years

which have since elapsed, Newton's fame has been ever steadily

advancing, so that it never stood higher than it does at this moment.

We hardly know whether to admire more the sublime discoveries at

which he arrived, or the extraordinary character of the intellectual

processes by which those discoveries were reached. Viewed from

either standpoint, Newton's "Principia" is incomparably the greatest

work on science that has ever yet been produced.

[PLATE: SIR ISAAC NEWTON'S SUN-DIAL IN THE ROYAL SOCIETY.]

FLAMSTEED.

Among the manuscripts preserved at Greenwich Observatory are certain

documents in which Flamsteed gives an account of his own life. We

may commence our sketch by quoting the following passage from this

autobiography:--"To keep myself from idleness, and to recreate

myself, I have intended here to give some account of my life, in my

youth, before the actions thereof, and the providences of God

therein, be too far passed out of my memory; and to observe the

accidents of all my years, and inclinations of my mind, that

whosoever may light upon these papers may see I was not so wholly

taken up, either with my father's business or my mathematics, but

that I both admitted and found time for other as weighty

considerations."

The chief interest which attaches to the name of Flamsteed arises

from the fact that he was the first of the illustrious series of

Astronomers Royal who have presided over Greenwich Observatory. In

that capacity Flamsteed was able to render material assistance to

Newton by providing him with the observations which his lunar theory

required.

John Flamsteed was born at Denby, in Derbyshire, on the 19th of

August, 1646. His mother died when he was three years old, and the

second wife, whom his father took three years later, only lived until

Flamsteed was eight, there being also two younger sisters. In his

boyhood the future astronomer tells us that he was very fond of those

romances which affect boy's imagination, but as he writes, "At twelve

years of age I left all the wild ones and betook myself to read the

better sort of them, which, though they were not probable, yet

carried no seeming impossibility in the picturing." By the time

Flamsteed was fifteen years old he had embarked in still more serious

work, for he had read Plutarch's "Lives," Tacitus' "Roman History,"

and many other books of a similar description. In 1661 he became ill

with some serious rheumatic affection, which obliged him to be

withdrawn from school. It was then for the first time that he

received the rudiments of a scientific education. He had, however,

attained his sixteenth year before he made any progress in

arithmetic. He tells us how his father taught him "the doctrine of

fractions," and "the golden rule of three"--lessons which he seemed

to have learned easily and quickly. One of the books which he read

at this time directed his attention to astronomical instruments, and

he was thus led to construct for himself a quadrant, by which he

could take some simple astronomical observations. He further

calculated a table to give the sun's altitudes at different hours,

and thus displayed those tastes for practical astronomy which he

lived to develop so greatly. It appears that these scientific

studies were discountenanced by his father, who designed that his son

should follow a business career. Flamsteed's natural inclination,

however, forced him to prosecute astronomical work, notwithstanding

the impediments that lay in his path. Unfortunately, his

constitutional delicacy seems to have increased, and he had just

completed his eighteenth year, "when," to use his own words, "the

winter came on and thrust me again into the chimney, whence the heat

and the dryness of the preceding summer had happily once before

withdrawn me. But, it not being a fit season for physic, it was

thought fit to let me alone this winter, and try the skill of another

physician on me in the spring."

It appears that at this time a quack named Valentine Greatrackes, was

reputed to have effected most astonishing cures in Ireland merely by

the stroke of his hands, without the application of any medicine

whatever. Flamsteed's father, despairing of any remedy for his son

from the legitimate branch of the profession, despatched him to

Ireland on August 26th, 1665, he being then, as recorded with

astronomical accuracy, "nineteen years, six days, and eleven hours

old." The young astronomer, accompanied by a friend, arrived on a

Tuesday at Liverpool but the wind not being favourable, they remained

there till the following Friday, when a shift of the wind to the east

took place. They embarked accordingly on a vessel called the SUPPLY

at noon, and on Saturday night came in sight of Dublin. Ere they

could land, however, they were nearly being wrecked on Lambay

Island. This peril safely passed, there was a long delay for

quarantine before they were at last allowed on shore. On Thursday,

September 6th, they set out from Dublin, where they had been

sojourning at the "Ship" Hotel, in Dame Street, towards Assaune,

where Greatrackes received his patients.

[PLATE: FLAMSTEED'S HOUSE.]

Flamsteed gives an interesting account of his travels in Ireland.

They dined at Naas on the first day, and on September 8th they

reached Carlow, a town which is described as one of the fairest they

saw on their journey. By Sunday morning, September 10th, having lost

their way several times, they reached Castleton, called commonly Four

Mile Waters. Flamsteed inquired of the host in the inn where they

might find a church, but was told that the minister lived twelve

miles away, and that they had no sermon except when he came to

receive his tithes once a year, and a woman added that "they had

plenty enough of everything necessary except the word of God." The

travellers accordingly went on to Cappoquin, which lies up the river

Blackwater, on the road to Lismore, eight miles from Youghal. Thence

they immediately started on foot to Assaune. About a mile from

Cappoquin, and entering into the house of Mr. Greatrackes, they saw

him touch several patients, "whereof some were nearly cured, others

were on the mending hand, and some on whom his strokes had no

effect." Flamsteed was touched by the famous quack on the afternoon

of September 11th, but we are hardly surprised to hear his remark

that "he found not his disease to stir." Next morning the astronomer

came again to see Mr. Greatrackes, who had "a kind of majestical yet

affable presence, and a composed carriage." Even after the third

touching had been submitted to, no benefit seems to have been

derived. We must, however record, to the credit of Mr. Greatrackes,

that he refused to accept any payment from Flamsteed, because he was

a stranger.

Finding it useless to protract his stay any longer, Flamsteed and his

friend set out on their return to Dublin. In the course of his

journey he seems to have been much impressed with Clonmel, which he

describes as an "exceedingly pleasantly seated town." But in those

days a journey to Ireland was so serious an enterprise that when

Flamsteed did arrive safely back at Derby after an absence of a

month, he adds, "For God's providence in this journey, His name be

praised, Amen."

As to the expected benefits to his health from the expedition we may

quote his own words: "In the winter following I was indifferent

hearty, and my disease was not so violent as it used to be at that

time formerly. But whether through God's mercy I received this

through Mr. Greatrackes' touch, or my journey and vomiting at sea, I

am uncertain; but, by some circumstances, I guess that I received a

benefit from both."

It is evident that by this time Flamsteed's interest in all

astronomical matters had greatly increased. He studied the

construction of sun-dials, he formed a catalogue of seventy of the

fixed stars, with their places on the heavens, and he computed the

circumstances of the solar eclipse which was to happen on June 22nd,

1666. It is interesting to note that even in those days the

doctrines of the astrologers still found a considerable degree of

credence, and Flamsteed spent a good deal of his time in astrological

studies and computations. He investigated the methods of casting a

nativity, but a suspicion, or, indeed, rather more than a suspicion,

seems to have crossed his mind as to the value of these astrological

predictions, for he says in fine, "I found astrology to give

generally strong conjectural hints, not perfect declarations."

All this time, however, the future Astronomer Royal was steadily

advancing in astronomical inquiries of a recondite nature. He had

investigated the obliquity of the ecliptic with extreme care, so far

as the circumstances of astronomical observation would at that time

permit. He had also sought to discover the sun's distance from the

earth in so far as it could be obtained by determining when the moon

was exactly half illuminated, and he had measured, with much

accuracy, the length of the tropical year. It will thus be seen

that, even at the age of twenty, Flamsteed had made marked progress,

considering how much his time had been interfered with by ill-health.

Other branches of astronomy began also to claim his attention. We

learn that in 1669 and 1670 he compared the planets Jupiter and Mars

with certain fixed stars near which they passed. His instrumental

means, though very imperfect, were still sufficient to enable him to

measure the intervals on the celestial sphere between the planets and

the stars. As the places of the stars were known, Flamsteed was thus

able to obtain the places of the planets. This is substantially the

way in which astronomers of the present day still proceed when they

desire to determine the places of the planets, inasmuch as, directly

or indirectly those places are always obtained relatively to the

fixed stars. By his observations at this early period, Flamsteed

was, it is true, not able to obtain any great degree of accuracy; he

succeeded, however, in proving that the tables by which the places of

the planets were ordinarily given were not to be relied upon.

[PLATE: FLAMSTEED.]

Flamsteed's labours in astronomy and in the allied branches of

science were now becoming generally known, and he gradually came to

correspond with many distinguished men of learning. One of the first

occasions which brought the talents of the young astronomer into fame

was the publication of some calculations concerning certain

astronomical phenomena which were to happen in the year 1670. In the

monthly revolution of the moon its disc passes over those stars which

lie along its track. The disappearance of a star by the

interposition of the moon is called an "occultation." Owing to the

fact that our satellite is comparatively near us, the position which

the moon appears to occupy on the heavens varies from different parts

of the earth, it consequently happens that a star which would be

occulted to an observer in one locality, would often not be occulted

to an observer who was situated elsewhere. Even when an occultation

is visible from both places, the times at which the star disappears

from view will, generally speaking, be different. Much calculation

is therefore necessary to decide the circumstances under which the

occultations of stars may be visible from any particular station.

Having a taste for such computations, Flamsteed calculated the

occultations which were to happen in the year 1670, it being the case

that several remarkable stars would be passed over by the moon during

this year. Of course at the present time, we find such information

duly set forth in the NAUTICAL ALMANAC, but a couple of centuries ago

there was no such source of astronomical knowledge as is now to be

found in that invaluable publication, which astronomers and

navigators know so well. Flamsteed accordingly sent the results of

his work to the President of the Royal Society. The paper which

contained them was received very favourably, and at once brought

Flamsteed into notice among the most eminent members of that

illustrious body, one of whom, Mr. Collins, became through life his

faithful friend and constant correspondent. Flamsteed's father was

naturally gratified with the remarkable notice which his son was

receiving from the great and learned; accordingly he desired him to

go to London, that he might make the personal acquaintance of those

scientific friends whom he had only known by correspondence

previously. Flamsteed was indeed glad to avail himself of this

opportunity. Thus he became acquainted with Dr. Barrow, and

especially with Newton, who was then Lucasian Professor of

Mathematics at Cambridge. It seems to have been in consequence of

this visit to London that Flamsteed entered himself as a member of

Jesus College, Cambridge. We have but little information as to his

University career, but at all events he took his degree of M.A. on

June 5th, 1674.

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