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Euclid's Parallel Postulate: Its Nature, Validity, and Place in Geometrical Systems: Thesis Presented to the Philosophical Faculty of Yale University for the Degree of Doctor of Philosophy (Classic Reprint) - Softcover
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Excerpt from Euclid's Parallel Postulate: Its Nature, Validity, and Place in Geometrical Systems: Thesis Presented to the Philosophical Faculty of Yale University for the Degree of Doctor of Philosophy 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. In the last chapter, the positions taken are only briefly defended, because they seem to flow directly and naturally from results previously won. I have included in the bibliography such works as are mentioned in the body of the thesis, and have not aimed at making a complete list. More complete biographies of Hyperspace and non-Euclidean Geometry are those of Halsted and Bonola, which I have mentioned in my list. My obligations not elsewhere explicitly acknowledged are chiefly to Professor Geo. T. Ladd, at whose suggestion this study was undertaken, and under whose sympathetic direction it has attained its present form. I am also indebted to Dr. E. B. Wilson for light upon certain mathematical aspects of the problem. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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- PublisherForgotten Books
- Publication date2020
- ISBN 10 1330214927
- ISBN 13 9781330214923
- BindingPaperback
- LanguageEnglish
- Number of pages208
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Euclid's Parallel Postulate: Its Nature, Validity (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book delves into the history of geometry, with a particular focus on the parallel postulate, also known as the fifth postulate. The author traces the development of the postulate from its origins in ancient Greece through its eventual refutation in the 19th century. Along the way, the book explores the work of key figures in the history of geometry, including Euclid, Lobachevsky, and Riemann, and examines the philosophical implications of the parallel postulate. The author argues that the rejection of the parallel postulate led to a revolution in our understanding of space and geometry, and that this revolution has had a profound impact on our understanding of the universe. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781330214923_0
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Euclid's Parallel Postulate Its Nature, Validity, and Place in Geometrical Systems Thesis Presented to the Philosophical Faculty of Yale University of Doctor of Philosophy Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330214923
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Euclid's Parallel Postulate Its Nature, Validity, and Place in Geometrical Systems Thesis Presented to the Philosophical Faculty of Yale University of Doctor of Philosophy Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330214923
Quantity: 15 available