Euclid's Parallel Postulate: Its Nature, Validity, and Place in Geometrical Systems (Classic Reprint): Its Nature, Validity, and Place in Geometrical ... of Doctor of Philosophy (Classic Reprint) - Softcover

Withers, John William

9781330214923: Euclid's Parallel Postulate: Its Nature, Validity, and Place in Geometrical Systems (Classic Reprint): Its Nature, Validity, and Place in Geometrical ... of Doctor of Philosophy (Classic Reprint)

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ISBN 10: 1330214927 ISBN 13: 9781330214923

Verlag: Forgotten Books, 2018

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Excerpt from Euclid's Parallel Postulate: Its Nature, Validity, and Place in Geometrical Systems

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 Bon ola, which I have mentioned in my list.

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Rese�a del editor

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

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 Bon ola, which I have mentioned in my list.

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.

Rese�a del editor

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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