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Giovanni Girolamo Saccheri: His Life and Contributions

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6 pages. A biographical and historical account of the life of Giovanni Girolamo Saccheri with special emphasis on the contributions he made to the world of mathematics, including his book Logica Demonstrativa. Bibliography lists 4 sources.

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6 pages (~225 words per page)

File: D0_JGAgiovg.rtf

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Enterprises Inc. 10/2001 to Use This Paper Properly, INTRODUCTION A biographical and historical account of the life of Giovanni Girolamo Saccheri with special emphasis on the contributions he made to the world of mathematics, including his book Logica Demonstrativa. GIOVANNI SACCHERI: HIS LIFE Giovanni Saccheri, born in Italy in 1667, was accepted into the Jesuit Order in 1685 in Genoa, and later studied philosophy and theology at the college there. During his college years, Saccheri was encouraged in the study of mathematics by one of his mentors, Tommaso Ceva. Saccheri, officially ordained into the priesthood in the year 1694, held the chair in mathematics in Pavia from 1699 until his death in 1733. He had also taught Philosophy and Theology but his true calling was mathematics (Giovanni Saccheri 2001). Given his inclination in the field of mathematics, he knew and corresponded with some of the great mathematicians of the time, Tommaso Ceva, Giovanni Ceva, and Viviani. Saccheris preference in mathematics was in the field of mathematical logic, and his Logica Demonstrativa (1697) "treats logic with definitions, postulates and demonstrations in the style of Euclid" (Giovanni Saccheri, PG, 2001). In Euclides ab Omni Naevo Vindicatus (1733) Saccheris early work on non-euclidean geometry was considered to be very important, although he did not consider it to be so. Instead, he was simply interested in making "an attempt to prove the parallel postulate of Euclid" (PG, 2001) and he had other publications such as a work on statics entitled Neo-statica, published in 1708 and his first work, Quaesita geometrica, (1693) written with much assistance from Tommaso Ceva. (Saccheri, PG, 2001). Saccheris interest in non-Euclid geometry is based on a geometry in which ...

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