Euclidean plane and its relatives: A minimalist introduction - Tapa blanda

Reseña del editor

The book is designed for a semester-long course in Foundations of Geometry and meant to be rigorous, conservative, elementary and minimalist.

List of topics:
Euclidean geometry: The Axioms / Half-planes / Congruent triangles / Perpendicular lines / Similar triangles / Parallel lines / Triangle geometry.
Inversive geometry: Inscribed angles / Inversion.
Non-Euclidean geometry: Neutral plane / Hyperbolic plane / Geometry of h-plane.
Additional topics: Affine geometry / Projective geometry / Spherical geometry / Projective model / Complex coordinates / Geometric constructions / Area.