The Foundations of Geometry (Classic Reprint) - Hardcover

David Hilbert

9780260633675: The Foundations of Geometry (Classic Reprint)

Hardcover

ISBN 10: 0260633674 ISBN 13: 9780260633675

Publisher: Forgotten Books, 2018

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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.

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