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Synopsis
Excerpt from The Elements of Non-Euclidean Geometry
The present work is an extension and elaboration of a course of lectures on Non-Euclidean Geometry which I delivered at the Colloquium held under the auspices of the Edinburgh Mathematical Society in August, 1913.
Non-euclidean geometry is now a well-recognised branch of mathematics. It is the general type of geometry of homogeneous and continuous space, of which euclidean geometry is a special form. The creation or discovery of such types has destroyed the unique character of euclidean geometry and given it a setting amongst geometrical systems. There has arisen, so to speak, a science of Comparative Geometry.
Special care has, therefore, been taken throughout this book to show the bearing of non-euclidean upon euclidean geometry; and by exhibiting euclidean geometry as a really degenerate form - in the sense in which a pair of straight lines is a degenerate conic - to explain the apparent want of symmetry and the occasional failure of the principle of duality, which only a study of non-euclidean geometry can fully elucidate.
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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 date2019
- ISBN 10 1440066582
- ISBN 13 9781440066580
- BindingPaperback
- LanguageEnglish
- Number of pages292
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The Elements of Non-Euclidean Geometry (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book delves into the fascinating world of non-Euclidean geometry, a concept that challenges the traditional understanding of space and its properties. Exploring the history of this field, the author takes readers on a journey through centuries of mathematical inquiry, uncovering the struggles and breakthroughs that led to its discovery. The book examines two principal non-Euclidean geometries: hyperbolic and elliptic geometry. It presents their fundamental principles and explores their unique properties, demonstrating how they differ from the familiar Euclidean geometry. The book also addresses the philosophical implications of non-Euclidean geometry, prompting readers to consider the nature of space itself and how it relates to our perception of the universe. Through a blend of historical context, mathematical exploration, and philosophical discussion, the book provides a comprehensive and engaging exploration of non-Euclidean geometry, illuminating its profound impact on our understanding of mathematics and 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 # 9781440066580_0
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The Elements of Non-Euclidean Geometry (Classic Reprint)
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Paperback. Condition: Brand New. 292 pages. 9.00x6.00x0.66 inches. This item is printed on demand. Seller Inventory # zk1440066582
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