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Excerpt from The Foundations of GeometryAbout the PublisherForgotten Books publishes hundreds of thousands of rare and classic books.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. This text has been digitally restored from a historical edition. Some errors may persist, however we consider it worth publishing due to the work's historical value.The digital edition of all books may be viewed on our website before purchase.
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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.
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.
Reseña del editor
Excerpt from The Foundations of Geometry
The axioms of this group establish a connection between the concepts indicated above namely, points, straight lines, and planes. These axioms are as fol lows.
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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The Foundations of Geometry (Classic Reprint)
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The Foundations of Geometry (Classic Reprint)
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The Foundations of Geometry (Classic Reprint)
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Paperback. Zustand: 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. Bestandsnummer des Verkäufers 9781332976195_0
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