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)