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2019-03-19 07:06:50
VALERIO, Luca
De Centro Gravitatis Solidorum Libri Tres. Rome: B[artolomeo] Bonfadino, 1604. [Bound with]: Quadratura Parabolae per simplex falsum. Et altera quàm secunda Archimedis expeditior ad Martium Columnam. Rome: L[epido] Facio, 1606
Bonfadino; Facio, Rome, 1606. First editions of these two rare and fundamental works on determining centres of gravity - these are fascinating copies with numerous contemporary annotations in an untouched contemporary binding. In these books Valerio transformed the Archimedean 'method of exhaustion' into a series of important theorems "so that for a whole class of convex curves and solids it was no longer necessary to establish results by special methods" (Baron, p. 101). Valerio was thus able to determine for the first time the centres of gravity of a number of 'Archimedean solids,' notably the hemispheroid and hyperboloid "which is undoubtedly one of the most difficult results in classical-Renaissance mathematics" (Napolitani & Saito, p. 108). These works were also important for initiating the transition from classical Greek geometry to modern mathematics (see below) - for example, according to Divizia, De CentroGravitatis anticipated the concept of limit and the integral calculus. Valerio strongly influenced Galileo, through his correspondence and these two books, and he was singled out for praise in the Discorsi, where he is described as 'our greatest geometer, the New Archimedes of our age'. "Valerio introduced important changes and novelties into the mathematics of his time - especially at the methodological level. He opened up a new road which was to be followed by several others: notably, Cavalieri, with his theory of indivisibles, and, above all, Descartes with his geometry of curves. Mathematics, as a result, was totally transformed, and its language and methods h … [Click Below for Full Description]
Bookseller: SOPHIA RARE BOOKS [Koebenhavn V, Denmark]
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