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1. The Pre-Lobatchewskian Struggle With THE Parallel Postulate. 2. The Discovery and Development of NonEuclidean Systems. 3. General Orientation of the Problem. 4. Psychology of the Parallel Postulate and Its Kindred Conceptions. 5. The Nature and Validity of the Parallel Postulate 6. Resulting Implications as to the Nature OF Space.
The book Euclid's Parallel Postulate: Its Nature, Validity and Place in Geometrical Systems by John William Withers is about detailed study of Euclid’s fifth postulate, also known as the parallel postulate. The book explores how mathematicians have tried to understand, prove, or replace this postulate throughout history. It examines key figures like Saccheri and Lobachevsky and discusses the postulate’s role in both Euclidean and non-Euclidean geometry. The book is known for its clear explanation and thoughtful analysis.
Title: Euclid's Parallel Postulate: Its Nature, Validity and Place in Geometrical Systems by John William Withers Publisher: Open Court Publishing Co Year: 1904 Pages: 210 Type: PDF Language: English ISBN-10 #: B002KW3SZU ISBN-13 #: N\A License: Public Domain Work Amazon: Amazon
The author John William Withers was a British mathematician and philosopher who studied the basics of geometry. He is Ph.D. from Yale University.
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