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The Project Gutenberg EBook of The Foundations of Geometry.

This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. You may copy it, give it away or re-use it under the terms of the Project Gutenberg License included with this eBook or online at Gutenberg.

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

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