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Updated: May 17, 2025
"It must be said he had neglected nothing to attract the eyes of Sylphs and Salamanders in forming Adam and Eve. He had modelled the woman in form of an amphora, with a harmony of curved lines quite sufficient to make him recognised as the prince of geometers, and he succeeded in amending the coarseness of the material by the magnificent charm of the form.
"Our fields are arranged in just such figures, and the geometers of the state study them at school." "We know not what to admire most in this priest, his wisdom or his humility," said Mefres. "Since we have such a man, the gods have not forgotten us." At that moment the guard watching on the pylons of the temple summoned those present to prayer.
From the father of Astronomy, as Delambre calls him, to Ptolemy, the first man who seems really to have appreciated him, we have not a discovery, hardly an observation or a name, to fill the gap. Physical sages there were; but they were geometers and mathematicians, rather than astronomic observers and inquirers.
Among the cultivators of Platonic philosophy whom the times had spared, there was a beautiful young woman, Hypatia, the daughter of Theon the mathematician, who not only distinguished herself by her expositions of the Neo-Platonic and Peripatetic doctrines, but was also honoured for the ability with which she commented on the writings of Apollonius and other geometers.
THE SYNTAXIS OF PTOLEMY. In the midst of such a brilliant constellation of geometers, astronomers, physicists, conspicuously shines forth Ptolemy, the author of the great work, "Syntaxis," "a Treatise on the Mathematical Construction of the Heavens." It maintained its ground for nearly fifteen hundred years, and indeed was only displaced by the immortal "Principia" of Newton.
Several geometers of the last century were of opinion that the force of attraction is not transmitted instantaneously from one body to another; they even assigned to it a comparatively inconsiderable velocity of propagation. So feeble a velocity was inconsistent with the mechanical explanation of attraction of which we have just spoken.
By appointing the first geometers, the first philosophers, and the first naturalists of the world to be professors, the Convention threw new lustre upon the profession of teaching, the advantageous influence of which is felt in the present day. In the opinion of the public at large a title which a Lagrange, a Laplace, a Monge, a Berthollet, had borne, became a proper match to the finest titles.
Five geometers, Clairaut, Euler, D'Alembert, Lagrange, and Laplace, shared between them the world of which Newton had disclosed the existence.
The isles and coasts of the Mediterranean were so filled with grammarians, philosophers, geometers, musicians, schoolmasters, painters, and physicians from Alexandria that the cruelty of Euergetes II., like the taking of Constantinople by the Turks, may be said to have spread learning by the ill-treatment of its professors.
Author. The problem of three bodies was solved independently about the same time by Euler, D'Alembert, and Clairaut. The two last-mentioned geometers communicated their solutions to the Academy of Sciences on the same day, November 15, 1747. Euler had already in 1746 published tables of the moon, founded on his solution of the same problem, the details of which he subsequently published in 1753.
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