CHAPTER II.

_Galileo's Birth—Family—Education—Observation of the

Pendulum—Pulsilogies—Hydrostatical Balance—Lecturer at Pisa._

GALILEO GALILEI was born at Pisa, on the 15th day of February, 1564, of

a noble and ancient Florentine family, which, in the middle of the

fourteenth century, adopted this surname instead of Bonajuti, under

which several of their ancestors filled distinguished offices in the

Florentine state. Some misapprehension has occasionally existed, in

consequence of the identity of his proper name with that of his family;

his most correct appellation would perhaps be Galileo de' Galilei, but

the surname usually occurs as we have written it. He is most commonly

spoken of by his Christian name, agreeably to the Italian custom; just

as Sanzio, Buonarotti, Sarpi, Reni, Vecelli, are universally known by

their Christian names of Raphael, Michel Angelo, Fra Paolo, Guido, and

Titian.

Several authors have followed Rossi in styling Galileo illegitimate, but

without having any probable grounds even when they wrote, and the

assertion has since been completely disproved by an inspection of the

registers at Pisa and Florence, in which are preserved the dates of his

birth, and of his mother's marriage, eighteen months previous to it.[4]

His father, Vincenzo Galilei, was a man of considerable talent and

learning, with a competent knowledge of mathematics, and particularly

devoted to the theory and practice of music, on which he published

several esteemed treatises. The only one which it is at present easy to

procure—his Dialogue on ancient and modern music—exhibits proofs, not

only of a thorough acquaintance with his subject, but of a sound and

vigorous understanding applied to other topics incidentally discussed.

There is a passage in the introductory part, which becomes interesting

when considered as affording some traces of the precepts by which

Galileo was in all probability trained to reach his preeminent station

in the intellectual world. "It appears to me," says one of the speakers

in the dialogue, "that they who in proof of any assertion rely simply on

the weight of authority, without adducing any argument in support of it,

act very absurdly: I, on the contrary, wish to be allowed freely to

question and freely to answer you without any sort of adulation, as well

becomes those who are truly in search of truth." Sentiments like these

were of rare occurrence at the close of the sixteenth century, and it is

to be regretted that Vincenzo hardly lived long enough to witness his

idea of a true philosopher splendidly realized in the person of his son.

Vincenzo died at an advanced age, in 1591. His family consisted of three

sons, Galileo, Michel Angelo, and Benedetto, and the same number of

daughters, Giulia, Virginia, and Livia. After Vincenzo's death the chief

support of the family devolved upon Galileo, who seems to have assisted

them to his utmost power. In a letter to his mother, dated 1600,

relative to the intended marriage of his sister Livia with a certain

Pompeo Baldi, he agrees to the match, but recommends its temporary

postponement, as he was at that time exerting himself to furnish money

to his brother Michel Angelo, who had received the offer of an

advantageous settlement in Poland. As the sum advanced to his brother,

which prevented him from promoting his sister's marriage, did not exceed

200 crowns, it may be inferred that the family were in a somewhat

straitened condition. However he promises, as soon as his brother should

repay him, "to take measures for the young lady, since she too is bent

upon _coming out_ to prove the miseries of this world."—As Livia was at

the date of this letter in a convent, the last expression seems to

denote that she had been destined to take the veil. This proposed

marriage never took place, but Livia was afterwards married to Taddeo

Galletti: her sister Virginia married Benedetto Landucci. Galileo

mentions one of his sisters, (without naming her) as living with him in

1619 at Bellosguardo. Michel Angelo is probably the same brother of

Galileo who is mentioned by Liceti as having communicated from Germany

some observations on natural history.[5] He finally settled in the

service of the Elector of Bavaria; in what situation is not known, but

upon his death the Elector granted a pension to his family, who then

took up their abode at Munich. On the taking of that city in 1636, in

the course of the bloody thirty years' war, which was then raging

between the Austrians and Swedes, his widow and four of his children

were killed, and every thing which they possessed was either burnt or

carried away. Galileo sent for his two nephews, Alberto and a younger

brother, to Arcetri near Florence, where he was then living. These two

were then the only survivors of Michel Angelo's family; and many of

Galileo's letters about that date contain allusions to the assistance he

had been affording them. The last trace of Alberto is on his return into

Germany to the Elector, in whose service his father had died. These

details include almost every thing which is known of the rest of

Vincenzo's family.

Galileo exhibited early symptoms of an active and intelligent mind, and

distinguished himself in his childhood by his skill in the construction

of ingenious toys and models of machinery, supplying the deficiencies of

his information from the resources of his own invention; and he

conciliated the universal good-will of his companions by the ready good

nature with which he employed himself in their service and for their

amusement. It is worthy of observation, that the boyhood of his great

follower Newton, whose genius in many respects so closely resembled his

own, was marked by a similar talent. Galileo's father was not opulent,

as has been already stated: he was burdened with a large family, and was

unable to provide expensive instructors for his son; but Galileo's own

energetic industry rapidly supplied the want of better opportunities;

and he acquired, under considerable disadvantages, the ordinary

rudiments of a classical education, and a competent knowledge of the

other branches of literature which were then usually studied. His

leisure hours were applied to music and drawing; for the former

accomplishment he inherited his father's talent, being an excellent

performer on several instruments, especially on the lute; this continued

to be a favourite recreation during the whole of his life. He was also

passionately fond of painting, and at one time he wished to make it his

profession: and his skill and judgment of pictures were highly esteemed

by the most eminent contemporary artists, who did not scruple to own

publicly their deference to young Galileo's criticism.

When he had reached his nineteenth year, his father, becoming daily more

sensible of his superior genius, determined, although at a great

personal sacrifice, to give him the advantages of an university

education. Accordingly, in 1581, he commenced his academical studies in

the university of his native town, Pisa, his father at this time

intending that he should adopt the profession of medicine. In the

matriculation lists at Pisa, he is styled Galileo, the son of Vincenzo

Galilei, a Florentine, Scholar in Arts. His instructor was the

celebrated botanist, Andreas Cæsalpinus, who was professor of medicine

at Pisa from 1567 to 1592. Hist. Acad. Pisan.; Pisis, 1791. It is dated

5th November, 1581. Viviani, his pupil, friend, and panegyrist, declares

that, almost from the first day of his being enrolled on the lists of

the academy, he was noticed for the reluctance with which he listened to

the dogmas of the Aristotelian philosophy, then universally taught; and

he soon became obnoxious to the professors from the boldness with which

he promulgated what they styled his philosophical paradoxes. His early

habits of free inquiry were irreconcileable with the mental quietude of

his instructors, whose philosophic doubts, when they ventured to

entertain any, were speedily lulled by a quotation from Aristotle.

Galileo thought himself capable of giving the world an example of a

sounder and more original mode of thinking; he felt himself destined to

be the founder of a new school of rational and experimental philosophy.

Of this we are now securely enjoying the benefits; and it is difficult

at this time fully to appreciate the obstacles which then presented

themselves to free inquiry: but we shall see, in the course of this

narrative, how arduous their struggle was who happily effected this

important revolution. The vindictive rancour with which the partisans of

the old philosophy never ceased to assail Galileo is of itself a

sufficient proof of the prominent station which he occupied in the

contest.

Galileo's earliest mechanical discovery, to the superficial observer

apparently an unimportant one, occurred during the period of his studies

at Pisa. His attention was one day arrested by the vibrations of a lamp

swinging from the roof of the cathedral, which, whether great or small,

seemed to recur at equal intervals. The instruments then employed for

measuring time were very imperfect: Galileo attempted to bring his

observation to the test before quitting the church, by comparing the

vibrations with the beatings of his own pulse, and his mind being then

principally employed upon his intended profession, it occurred to him,

when he had further satisfied himself of their regularity by repeated

and varied experiments, that the process he at first adopted might be

reversed, and that an instrument on this principle might be usefully

employed in ascertaining the rate of the pulse, and its variation from

day to day. He immediately carried the idea into execution, and it was

for this sole and limited purpose that the first pendulum was

constructed. Viviani tells us, that the value of the invention was

rapidly appreciated by the physicians of the day, and was in common use

in 1654, when he wrote.

[Illustration: Instrument No. 1, No. 2, No. 3]

Santorio, who was professor of medicine at Padua, has given

representations of four different forms of these instruments, which he

calls pulsilogies, (_pulsilogias_,) and strongly recommends to medical

practitioners.[6] These instruments seem to have been used in the

following manner: No. 1 consists merely of a weight fastened to a string

and a graduated scale. The string being gathered up into the hand till

the vibrations of the weight coincided with the beatings of the

patient's pulse, the length was ascertained from the scale, which, of

course, if great, indicated a languid, if shorter, a more lively action.

In No. 2 the improvement is introduced of connecting the scale and

string, the length of the latter is regulated by the turns of a peg at

_a_, and a bead upon the string at _b_ showed the measure. No. 3 is

still more compact, the string being shortened by winding upon an axle

at the back of the dial-plate. The construction of No. 4, which Santorio

claims as his own improvement, is not given, but it is probable that the

principal index, by its motion, shifted a weight to different distances

from the point of suspension, and that the period of vibration was

still more accurately adjusted by a smaller weight connected with the

second index. Venturi seems to have mistaken the third figure for that

of a pendulum clock, as he mentions this as one of the earliest

adaptations of Galileo's principle to that purpose;[7] but it is

obvious, from Santorio's description, that it is nothing more than a

circular scale, the index showing, by the figure to which it points, the

length of string remaining unwound upon the axis. We shall, for the

present, postpone the consideration of the invention of pendulum clocks,

and the examination of the different claims to the honour of their first

construction.

At the time of which we are speaking, Galileo was entirely ignorant of

mathematics, the study of which was then at a low ebb, not only in

Italy, but in every part of Europe. Commandine had recently revived a

taste for the writings of Euclid and Archimedes, and Vieta Tartalea and

others had made considerable progress in algebra, Guido Ubaldi and

Benedetti had done something towards establishing the principles of

statics, which was the only part of mechanics as yet cultivated; but

with these inconsiderable exceptions the application of mathematics to

the phenomena of nature was scarcely thought of. Galileo's first

inducement to acquire a knowledge of geometry arose from his partiality

for drawing and music, and from the wish to understand their principles

and theory. His father, fearful lest he should relax his medical

studies, refused openly to encourage him in this new pursuit; but he

connived at the instruction which his son now began to receive in the

writings of Euclid, from the tuition of an intimate friend, named

Ostilio Ricci, who was one of the professors in the university.

Galileo's whole attention was soon directed to the enjoyment of the new

sensations thus communicated to him, insomuch that Vincenzo, finding his

prognostics verified, began to repent his indirect sanction, and

privately requested Ricci to invent some excuse for discontinuing his

lessons. But it was fortunately too late; the impression was made and

could not be effaced; from that time Hippocrates and Galen lay unheeded

before the young physician, and served only to conceal from his father's

sight the mathematical volumes on which the whole of his time was really

employed. His progress soon revealed the true nature of his pursuits:

Vincenzo yielded to the irresistible predilection of his son's mind, and

no longer attempted to turn him from the speculations to which his whole

existence was thenceforward abandoned.

After mastering the elementary writers, Galileo proceeded to the study

of Archimedes, and, whilst perusing the Hydrostatics of that author,

composed his earliest work,—an Essay on the Hydrostatical Balance. In

this he explains the method probably adopted by Archimedes for the

solution of Hiero's celebrated question[8], and shows himself already

well acquainted with the true principles of specific gravities. This

essay had an immediate and important influence on young Galileo's

fortunes, for it introduced him to the approving notice of Guido Ubaldi,

then one of the most distinguished mathematicians of Italy. At his

suggestion Galileo applied himself to consider the position of the

centre of gravity in solid bodies, a choice of subject that sufficiently

showed the estimate Ubaldi had formed of his talents; for it was a

question on which Commandine had recently written, and which engaged at

that time the attention of geometricians of the highest order. Galileo

tells us himself that he discontinued these researches on meeting with

Lucas Valerio's treatise on the same subject. Ubaldi was so much struck

with the genius displayed in the essay with which Galileo furnished him,

that he introduced him to his brother, the Cardinal Del Monte: by this

latter he was mentioned to Ferdinand de' Medici, the reigning Duke of

Tuscany, as a young man of whom the highest expectations might be

entertained. By the Duke's patronage he was nominated, in 1589, to the

lectureship of mathematics at Pisa, being then in his twenty-sixth year.

His public salary was fixed at the insignificant sum of sixty crowns

annually, but he had an opportunity of greatly adding to his income by

private tuition.

FOOTNOTES:

[4] Erythræus, Pinacotheca, vol. i.; Salusbury's Life of Galileo. Nelli,

Vita di Gal. Galilei.

[5] De his quæ diu vivunt. Patavii, 1612.

[6] Comment, in Avicennam. Venetiis, 1625.

[7] Essai sur les Ouvrages de Leonard da Vinci. Paris, 1797.

[8] See Treatise on HYDROSTATICS.

The Life of Galileo Galilei, with Illustrations of the Advancement of Experimental Philosophy Life of Kepler · 第 2 / 21 章