Euclidean Plane and its Relatives (Petrunin)
- Page ID
- 23576
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This book is designed for a semester-long course in Foundations of Geometry and meant to be rigorous, conservative, elementary and minimalistic.
- Front Matter
- 1: Preliminaries
- 2: Axioms
- 3: Half-Planes
- 4: Congruent Triangles
- 5: Perpendicular lines
- 6: Similar triangles
- 7: Parallel Lines
- 8: Triangle Geometry
- 9: Inscribed angles
- 10: Inversion
- 11: Neutral plane
- 12: Hyperbolic Lane
- 13: Geometry of the h-plane
- 14: Affine Geometry
- 15: Projective Geometry
- 16: Spherical geometry
- 17: Projective Model
- 18: Complex Coordinates
- 19: Geometric Constructions
- 20: Area
- Back Matter
Thumbnail: 2-sphere wireframe as an orthogonal projection. (CC BY-SA 3.0; Geek3 via Wikipedia)