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Synopsis
Excerpt from The Foundations of Geometry
We think of these points, straight lines, and planes as having certain mutual relations, which we indicate by means of such words as are situated, be tween, parallel, congruent, continuous, etc. The complete and exact description of these relations follows as a consequence of the axioms of geometry. These axioms may be arranged in five groups. Each of these groups expresses, by itself, certain related fundamental facts of our intuition. We will name these groups as follows.
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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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About the Author
David Hilbert (1862-1943) was arguably the most influential mathematician of the twentieth century.
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- PublisherForgotten Books
- Publication date2018
- ISBN 10 1332976190
- ISBN 13 9781332976195
- BindingPaperback
- LanguageEnglish
- Number of pages173
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The Foundations of Geometry (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 foundational principles of geometry, exploring the fundamental building blocks that shape our understanding of space and form. The author meticulously examines the relationships between points, lines, and planes, establishing a system of axioms that govern their interactions. Through a rigorous analysis, the author not only demonstrates the compatibility and independence of these axioms but also sheds light on their historical significance. This exploration reveals the profound impact of Euclid's axiom of parallels and delves into alternative geometries that challenge traditional Euclidean notions. The book further investigates the concept of congruence, unveiling its role in defining geometric displacement and establishing connections between segments and angles. By dissecting these fundamental principles, the author unveils the intricate web of logic that underpins the entirety of Euclidean geometry. Ultimately, this book offers a profound appreciation for the elegance and depth of geometry, showcasing its enduring relevance as a cornerstone of mathematical understanding. 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 # 9781332976195_0
Quantity: Over 20 available
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The Foundations of Geometry (Classic Reprint)
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332976195
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The Foundations of Geometry Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 4 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332976195
Quantity: 15 available