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CAVALIERI, Bonaventura (1598-1647). Centuria di varii problemi per dimostrare l'uso, e la facilità de' logaritmi nella gnomica, astronomia, geografia, altimetria, pianimetria, stereometria, e aritmetica prattica. Bologna: Giacomo Monti e Carlo Zenero, 1639.
12º (146 x 75mm). Woodcut diagrams, several full-page. (Title a little spotted, light creasing, quire D browned, marginal tear to E9, small nicks to two end leaves.) Contemporary vellum, spine with 19th-century manuscript label (rubbed at extremities, label rubbed, single wormhole in front cover, minor ink spots to front cover and fore-edge). Provenance: Léon Leroy (bookplate).
FIRST EDITION. Logarithms, introduced into mathematics by Napier in 1614, owed their introduction into Italy to Cavalieri who linked them to noteworthy developments in trigonometry and found applications to astronomy. In the one hundred problems comprising the Centuria, he ‘dealt with such topics as the general definition of cylindrical and conical surfaces, formulas to determine the volume of a barrel and the capacity of a vault with pointed arches, and the means of obtaining from the logarithms of two numbers the logarithm of the sum or the difference, a problem that was subsequently taken up by various mathematicians’ (DSB III, p. 152). His work also appeared as part of the larger volume, Nuova prattica astrologica (Bologna, 1639). Gamba 1849; Riccardi I, 526; not in BL.
12º (146 x 75mm). Woodcut diagrams, several full-page. (Title a little spotted, light creasing, quire D browned, marginal tear to E9, small nicks to two end leaves.) Contemporary vellum, spine with 19th-century manuscript label (rubbed at extremities, label rubbed, single wormhole in front cover, minor ink spots to front cover and fore-edge). Provenance: Léon Leroy (bookplate).
FIRST EDITION. Logarithms, introduced into mathematics by Napier in 1614, owed their introduction into Italy to Cavalieri who linked them to noteworthy developments in trigonometry and found applications to astronomy. In the one hundred problems comprising the Centuria, he ‘dealt with such topics as the general definition of cylindrical and conical surfaces, formulas to determine the volume of a barrel and the capacity of a vault with pointed arches, and the means of obtaining from the logarithms of two numbers the logarithm of the sum or the difference, a problem that was subsequently taken up by various mathematicians’ (DSB III, p. 152). His work also appeared as part of the larger volume, Nuova prattica astrologica (Bologna, 1639). Gamba 1849; Riccardi I, 526; not in BL.
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