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Synopsis
Excerpt from Non-Euclidean Geometry
The axioms of Geometry were formerly regarded as laws of thought which an intelligent mind could neither deny nor investigate. Not only were the axioms to which we have been accustomed found to agree with our experience, but it was believed that we could not reason on the supposition that-any of them are not true. It has been Shown, however, that it is possible to take a set of axioms, wholly or in part contradicting those of Euclid, and build up a Geometry as consistent as his.
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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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Non-Euclidean Geometry (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: New. Print on Demand. In a world of different geometries, this book explores a geometry discovered by Lobachevsky, where lines that don't intersect continually approach each other. Unlike familiar Euclidean geometry, this Hyperbolic Geometry presents a fascinating universe where the sum of a triangle's angles is less than 180 degrees and parallel lines diverge as they extend infinitely. With detailed exploration of its intriguing concepts through propositions, theorems, and analytical methods, the author reveals the unique properties of this non-Euclidean realm. By comparing it with Euclidean and Elliptic Geometries, the book offers a profound insight into the nature of geometry itself. 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 # 9781330266373_0
Quantity: Over 20 available
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NonEuclidean Geometry Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330266373
Quantity: 15 available
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NonEuclidean Geometry Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330266373
Quantity: 15 available