Euclidean plane and its relatives
This book is meant to be rigorous, conservative, elementary and minimalist. At the same time it includes about the maximum what students can absorb in one semester. Approximately one-third of the material used to be covered in high school, but not any more.The present book is based on the courses gi...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Centre County, Pennsylvania
Anton Petrunin
2021.
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| Series: | Open textbook library.
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| Subjects: | |
| Online Access: | Access online version |
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Table of Contents:
- Introduction
- 1 Preliminaries
- Euclidean geometry
- 2 The Axioms
- 3 Half-planes
- 4 Congruent triangles
- 5 Perpendicular lines
- 6 Similar triangles
- 7 Parallel lines
- 8 Triangle geometry
- Inversive geometry
- 9 Inscribed angles
- 10 Inversion
- Non-Euclidean geometry
- 11 Neutral Geometry
- 12 Hyperbolic plane
- 13 Geometry of h-plane
- Additional topics
- 14 Affine geometry
- 15 Projective geometry
- 16 Spherical geometry
- 17 Projective model
- 18 Complex coordinates
- 19 Geometric constructions
- 20 Area
- References
- Hints
- Index
- Used resources