Euclid's Parallel Postulate: Its Nature, Validity and Place in Geometrical Systems
by John William Withers
Publisher: Open Court Publishing Co. 1904
Number of pages: 214
The parallel postulate is the only distinctive characteristic of Euclid. To pronounce upon its validity and general philosophical significance without endeavoring to know what Non-Euclideans have done would be an inexcusable blunder. For this reason I have given in the following pages what might otherwise seem to be an undue prominence to the historical aspect of my general problem.
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by Horatio Scott Carslaw - Longmans, Green and co.
In this book the author has attempted to treat the Elements of Non-Euclidean Plane Geometry and Trigonometry in such a way as to prove useful to teachers of Elementary Geometry in schools and colleges. Hyperbolic and elliptic geometry are covered.
by D.M.Y. Sommerville - G.Bell & Sons Ltd.
Renowned for its lucid yet meticulous exposition, this text follows the development of non-Euclidean geometry from a fundamental analysis of the concept of parallelism to such advanced topics as inversion and transformations.
by Henry Manning - Ginn and Company
This book gives a simple and direct account of the Non-Euclidean Geometry, and one which presupposes but little knowledge of Mathematics. The entire book can be read by one who has taken the mathematical courses commonly given in our colleges.
by Roberto Bonola - Open Court Publishing Company
Examines various attempts to prove Euclid's parallel postulate - by the Greeks, Arabs and Renaissance mathematicians. It considers forerunners and founders such as Saccheri, Lambert, Legendre, Gauss, Schweikart, Taurinus, J. Bolyai and Lobachewsky.