Resultados de búsqueda: geometria indivisibilibus continuorum nova quadam ratione de cavalieri bonaventura

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Bologna: Clementi Ferroni, 1653. 2nd Edition. Hardcover. Very Good. 2nd Edition. Hardcover. 4to - over 9¾ - 12" tall. 4to (228 x 164 mm). [16], 543 [1] pp., half-title, woodcut publisher's device on title, woodcut diagrams in text, historiated woodcut initials, woodcut head- and tailpieces, some mispaginations. Contemporary limp vellum, ink-lettered spine, original endpapers (head of spine frayed, vellum over upper hinge partially split, light soiling and rubbing, binding partially cracked between pp. 542/43, first flyleaf trimmed to half width). Text with some uneven browning, occasional minor spotting, small hole in title-leaf not affecting text. Provenance: Francesco Gonnella (old signature on title page extended onto paper patch which replaces former signature), further inscription dated 1711 on title verso; Tito Gonnelli (signed on front pastedown). A very good, wide-margined copy in untouched binding of its time. ---- Norman 419; Cinti 250; Honeyman 650; Riccardi I 325. RARE SECOND ENLARGED… Leer más

Bologna: Heirs of Evangelista Dozza, 1653. First edition. Hardcover. THE METHOD OF INDIVISIBLES. Second edition (first, 1635) of Cavalieri's text containing the discovery of the 'method of indivisibles', one of the most important forerunners of the integral calculus. Book II of the work includes the statement of 'Cavalieri's principle' for the determination of areas and volumes, which considers an area as made up of an indefinite number of equidistant parallel line segments ('omnes lineae'), and a solid as made up of an indefinite number of parallel plane areas. It states that, if two planar figures are contained between a pair of parallel lines, and if the lengths of the two segments cut by them from any line parallel to the including lines are always in a given ratio, then the areas of the two planar pieces are also in this ratio (there is an analogous principle for the determination of volumes). Cavalieri's principle provided a simple and effective alternative to the Archimedean method of… Leer más