CAVALERIO, B.

Includes excellent logarithmic-trigonometric tables Trigonometria plana, et sphaerica, linearis, & logarithmica. Hoc est, tam per sinuum, tangentium, & secantium multiplicationem, ac divisionem iuxta veteres: quam per logarithmorum simplicem fere additionem iuxta recentiores; Ad triangulorum dimetiendos angulos, & latera procedens. Cum canone duplici trigonometrico, & chiliade numerorum absolutorum ab 1 usque ad 1000, eorumque logarithmis, ac differentijs. Opusculum universae mathesi utilissimum: omniumque; terrestium, ac caelestium dimensionum promptuarium.

      Bologna, Haeredis Victorij Benatij, 1643.. 4to. Contemporary vellum. With fine engraved frontispiece showing the allegorical figure of trigonometry opening the doors to all sort of trades and professions involving mathematics, and 28 geometrical figures on folding engraved plate. (16), 72 pp. and (4), 44, (4) lvs. of tables.. First edition of one of the celebrated mathematical text books of Bonaventura Cavaliero (1598-1647), a pupil of Galileo and professor in mathematics at Bologna. He discovered the method of indivisibles, the first step in infinitesimal analysing, which revolutionized science after Newton and Leibnitz almost simultaneously discovered infinitesimal calculus. Cavalieri was also the first to introduce logarithms in Italy, and noteworthy developments in trigonometry and astronomy as well. The present work teaches trigonometry, and includes excellent logarithmic-trigonometric tables, which according to Riccardi greatly assisted the work of the famous astronomer Domenico Cassini. Of interest also is the frontispiece with a beautiful allegory on the great importance of mathematical science. Good copy of a rare work.- (Worm-holes in inside of binding). Riccardi I, 328; Honeyman 646, with reproduction of the frontispiece.