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for which his brain must have been pining unawares, that he began to make a practice of secretly listening to Ricci until he plucked up courage to speak to him openly on the subject. After this it was plain enough sailing for a time, for Ricci gladly afforded all assistance in his power. But the inevitable neglect of medical studies, as well as the failure of every application for a free scholarship, convinced Galileo's father that he was not likely to get an adequate return for the crippling ​expense of his son's university career, which he decided to curtail; so that Galileo gave up any idea of the medical profession and left Pisa without completing his full course.

      We thus find Galileo back in Florence at the age of twenty-one, determined to devote himself entirely to mathematics and physics, with the aid of Ricci whenever the Court was in residence at Florence. Meeting with the works of Archimedes he conceived a profound admiration for that philosopher, and was dissatisfied with the vague accounts generally given of the solution of the celebrated problem always associated with the word "Eureka". This, it will be remembered, consisted in the detection of the presence of inferior metal in the Crown of Hiero, tyrant of Syracuse, without any injury to the crown, the weight of the crown being equal to that of the gold provided by Hiero. Archimedes found that the crown displaced more water than an equal weight of pure gold did, and calculated the extent of the goldsmith's fraud. Galileo set himself to consider how this calculation must have been performed, and constructed his Hydrostatic Balance for this purpose. This instrument, called "la Bilancetta," had some resemblance to a steelyard. Galileo also devoted himself to the determination of the centre of gravity in solids of different forms, and this work with the pulsilogia and bilancetta attracted the attention of the Marquis del Monte, who, being himself a competent mathematician, formed a just estimate of the young man's capabilities, and strongly recommended him to the Grand Duke of Tuscany, but without any immediate success.

      The necessity of an income of some kind in default of medical fees, compelled Galileo to obtain pupils in mathematics and mechanics, and naturally he applied for every vacant mathematical professorship to be found. ​After failing to secure such an appointment at Bologna (1587), Padua (1588), Pisa (1588), and Florence (1588)—though the Pisa appointment was in the gift of the Grand Duke—he was on the point of going to the East in 1589 to "seek his fortune" in the company of a friend, when the Pisa professorship again fell vacant, and he secured the post with a salary of about five shillings a week. We cannot wonder at Vincenzio's poor opinion of mathematics as a means of livelihood, especially as the professor of medicine received more than thirty times as much. The position, however, was worth much more than its meagre official salary, as it naturally brought Galileo more pupils and probably raised his fees.

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      CHAPTER II.—UNIVERSITY PROFESSORSHIPS.

       Table of Contents

      Galileo, having thus acquired some economic security, threw himself with increased ardour into the investigations that he loved, and set to work systematically to test by experiment everything in Aristotle's mechanics. The stirring in men's minds which produced the Reformation had already caused a few isolated attempts to replace dogma by proof, but no one previously had made such determined assaults on the "peripatetic" stronghold. No sooner did Galileo find any rebutting experiment than he promptly pilloried the discredited dogma, exposing it in his lectures. Once more, therefore, he drew upon himself the enmity of those professors who had objected to his sceptical attitude as a student. The best-known instance of the success of his campaign is that associated with the celebrated Leaning Tower of Pisa. According to Aristotle the velocity of falling bodies is proportional to their weight, so that a weight of a hundred pounds would fall a hundred times as fast as a weight of one pound. Galileo asserted that but for the resistance of the air, which varies with the size and shape of the body, both would fall at the same rate. The parapet of the Leaning Tower offered a very convenient opportunity of testing the point. The experiment was tried by Galileo, and in the event the heavy weight beat the light weight by about two inches. Curiously enough, many of his opponents claimed the victory for Aristotle, as the heavy weight fell more quickly than the light one, and Galileo caustically ​pointed out that they were trying to make his two inches cover up Aristotle's ninety-nine yards, the amount by which the heavy weight should have won the race to the ground on Aristotle's hypothesis.

      It was at this period that Galileo produced one of his literary efforts in the form of a burlesque, "In Abuse of Gowns," ridiculing the University ordinance which compelled professors to wear their gowns on all outdoor occasions as well as when lecturing. Various sonnets and other effusions would also appear to have been written during his first professorship.

      A combination of circumstances arose to cut short even the three years for which Galileo had received his appointment. The feeling of nearly all his colleagues was against him; he was mulcted of part of his miserable stipend for any accidental failure to lecture; moreover, he had undertaken to help in the support of his brother and sisters, the eldest of whom, Virginia, was married in 1591, Galileo pledging himself to provide her dowry. Perhaps most important of all was the animosity of Giovanni dei Medici, the Grand Duke's natural son, an engineer and architect who designed a big dredging machine to clear Leghorn harbour. Galileo reported to the Grand Duke, after examining the model at his request, that it was useless, as indeed proved to be the case. These causes combined proved sufficient to induce Galileo to resign his post and return to Florence, where he found himself, his father having died soon after Virginia's marriage, almost entirely responsible for the daily wants of his mother and the two younger sisters; his brother Michelangelo had been trained as a musician but did not yet contribute anything to the family exchequer. A more lucrative post was imperatively required, and the Padua professorship being still vacant, as it had been when Galileo applied for it in 1588, four years before, he ​obtained the support of his friend the Marquis del Monte, and through his aid and that of his friends succeeded in securing the post against the rivalry of the man who had defeated him for the Bologna professorship. He was appointed for four years certain at a salary three times as great as he had received at Pisa, roughly £40 a year. Besides this increase, the greater number of students at Padua meant a much larger income from pupils. For their benefit he wrote a great number of treatises (some of which have been lost, as they were for a long time only in manuscript), treating of such diverse subjects as fortifications, the geometry of the sphere, and mechanics, that is to say, the lever, the pulley, and the screw, including that of Archimedes for raising water. In this was the first development of the principle that what is gained in power is lost in speed, the foundation of equilibrium conditions. In his first summer at Padua Galileo and two friends went to sleep in a cool or perhaps poisonous draught from a cavern, with fatal effects soon afterwards, except in Galileo's case, though his previously strong constitution did not save him from acute chronic disorder.

      Some three years later he invented the geometrical and military compass, known to us as the sector, for mechanically solving a great many problems, and this with other similar inventions met with such practical success that he started a workshop in his house and employed a staff of mechanics to make them under his personal supervision. Some of the ideas were plagiarised by Simon Mayer (or Marius) under cover of another man's name, but Galileo had no difficulty in proving priority.

      The four years of the appointment had stretched to six years, as was contemplated by the conditions, and Galileo carried on for a seventh year without raising any ​question. His friends then pestered the Doge on his behalf for an increase of salary, pointing out that his Bologna rival was now receiving more than Galileo, and succeeded in having the appointment secured for a second six year period with a salary of £70 approximately. He now had a wide European reputation as a teacher, and among those who came to Padua for his lectures were the Archduke Ferdinand, afterwards Emperor of Germany, and several other princes. Harvey, the discoverer of the circulation of the blood, probably attended a course of Galileo's lectures. The next step was a move into a large house for the accommodation of resident pupils. Galileo looked after the catering himself and made practically no profit on the housekeeping. There was a large garden to which he added extra ground with vines, and in the cultivation of which he took a considerable share.

      Apparently

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