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Non-Euclidean Geometry - A Critical and Historical Study of Its Development (1912) (Hardcover)
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Non-Euclidean Geometry - A Critical and Historical Study of Its Development (1912) (Hardcover)
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"Non-Euclidean Geometry is a history of the alternate geometries
that have emerged since the rejection of Euclids parallel
postulate. Italian mathematician ROBERTO BONOLA (18741911) begins
by surveying efforts by Greek, Arab, and Renaissance mathematicians
to close the gap in Euclids axiom. Then, starting with the 17th
century, as mathematicians began to question whether it was
actually possible to prove Euclids postulate, he examines
non-Euclidean predecessors Saccheri, Lambert, Legendre, W. Bolyai,
Wachter, and Thibaut, and non-Euclidean founders Gauss, Schweikart,
Taurinus, Lobachevski, and J. Bolyai. He concludes with a look at
later developments in non-Euclidean geometry. Including five
appendices and an index of authors, Bonolas Non-Euclidean Geometry
is a useful reference guide for students of mathematical history."
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