CAVALIERI, Bonaventura Trigonometria... Bologna Vittorio Benacci 1643
First edition of this fundamental work of trigonometry and without doubt the best text on the subject published in Italy during this period. The work is also a Galileianum, thoroughly described in Cinti. The author was one of the major mathematicians of the seventeenth century and a friend and student of Galileo.Cavalieri was among the first mathematicians—and the first Italian—to understand the practical applications logarithms held for astronomers. In addition to chapters on the basics of plane and spherical trigonometry, this work contains one hundred pages of logarithmic tables which were widely used throughout the seventeenth century, most notably by Cassini.Calvalieri’s theory of indivisibles was his most outstanding contribution to mathematics. In the preface to this work, he replies to attacks by Paul Guldin in the third volume of his Centrobaryca and explains how his method differs from that of Kepler.Cavalieri (1598-1647) learned geometry from the Benedictine monk Castelli, a Galileo student, and through him began a life-long association with the great astronomer. Over one hundred letters by Cavalieri to Galileo are extant.
* DSB III.149-153; Cinti 111
$US2850
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