Book

An essay on the foundations of geometry

by Bertrand Russell (1872–1970)

12 chapters, about 35,000 words. The text is in the public domain in the United States and comes from Project Gutenberg.

Chapters

1. Chapter 1 200 words
2. PREFACE. 200 words
3. INTRODUCTION. 700 words
4. A SHORT HISTORY OF METAGEOMETRY. 7,000 words
5. FOOTNOTES: 300 words
6. CHAPTER II. 13,600 words
7. FOOTNOTES: 300 words
8. THE AXIOMS OF PROJECTIVE GEOMETRY. 3,100 words
9. THE AXIOMS OF METRICAL GEOMETRY. 4,500 words
10. FOOTNOTES: 300 words
11. PHILOSOPHICAL CONSEQUENCES. 4,300 words
12. TRANSCRIBER'S NOTE 200 words

Ideas discussed in this book

• Axiom
• Circle
• Definition
• Duality (mathematics)
• Geometry
• Infinitesimal
• Intersection (set theory)
• Mechanics
• Proportionality (mathematics)
• Ratio

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