The Foundations of Geometry

David Hilbert, Ph. D.
Professor of Mathematics, University of Göttingen
AUTHORIZED TRANSLATION
BY
E. J. Townsend, Ph. D.
University of Illinois

1950

The Project Gutenberg EBook of The Foundations of Geometry.

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Title: The Foundations of Geometry.
Author: David Hilbert
Translator: E. J. Townsend
Release Date: Oct 11, 2012 [EBook #17384]
Language: English
Character set encoding: UTF-8
Markup: HTML5 + MathML
Source Markup: LATEX
Contents3
Preface5
Introduction9
1The Five Groups of Axioms11
2Compatibility and Mutual Independence of the Axioms63
3The Theory of Proportion85
4The Theory of Plane Areas143
5Desargues’s Theorem173
6Pascal’s Theorem221
7Geometrical Constructions based upon the Axioms I–V239
8Appendix263