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Tartaglia has given a version of this part of the transaction; and, according to what is there set down, Cardan's request, even when recorded in Tartaglia's own words, does not appear an unreasonable one, for up to this time Tartaglia had never announced that he had any intention of publishing his discoveries as part of a separate work on Mathematics.

His hours were irregular, but the morning classes were sufficiently numerous to break up the continuity of his observations, and to render their results unsure. In this quandary, he ought, perhaps, to have abandoned his purpose and to have taken up some problem in pure mathematics, but here the perversity of human nature interposed.

The language of the country, and the language of the Roman Church; the languages of Scripture Greek and Hebrew; the logic of Aristotle, the writings of the Fathers, especially of Pope Gregory the Great who appears to have been a favourite author with the Irish Church; the defective Physics of the period; Mathematics, Music, and Poetical composition went to complete the largest course.

Mathematics, not being a phenomenal study, suited better the Neoplatonic mood and continued to advance, carrying astronomy with it for a while astronomy that affected the life of man and that soon became the handmaid of astrology; medicine, too, that determined the conditions of man's life was also cherished, though often mistakenly, but pure science was doomed.

Else, important departments will be overlaid, as in Oxford and in Harvard, natural history was until now. Now, it looks as if natural history would obtain in time to come the like predominance as mathematics have here, or Greek at Oxford. It will not grieve me if it should, for we are all curious of nature, but not of algebra.

The great Adam Lowiewski, descending from his pinnacle of pure mathematics, to perform a vulgar experiment? With actual things?" The Frenchwoman gave an exaggerated shudder. "Horrors!"

Relegating these to their proper place in physics, we have left pure mathematics, which can stand neither at the head, nor at the tail, of any hierarchy of the sciences, since, like logic, it is equally related to all; though the enormous practical difficulty of applying mathematics to the more complex phænomena of nature removes them, for the present, out of its sphere.

So greatly did they prize these records, which were contemned by the Christians, that it was their frequent custom to weigh the old manuscripts in payment against the coin of their realm. In astronomy, mathematics, chemistry, and geology the Arabian students, building on the ancient foundations, made notable and for a time most important advances.

Adams, our head-boy, who had a turn for mathematics, had made a calculation, I was informed, of the time this Dictionary would take in completing, on the Doctor's plan, and at the Doctor's rate of going. He considered that it might be done in one thousand six hundred and forty-nine years, counting from the Doctor's last, or sixty-second, birthday.

Had it been the class-room of Bulldog, master of mathematics, arithmetic, and writing, and, it might also be added, master of discipline, Speug would as soon have ventured into his presence on such an errand as into the lion's den of the travelling menagerie which had recently visited Muirtown, and at which he had spent many an unlicensed hour.