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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Bibliographic Details
Main Author: Petrunin, Anton (Author)
Format: Electronic eBook
Language:English
Published: Centre County, Pennsylvania Anton Petrunin 2021.
Series:Open textbook library.
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