pdf | 4.66 MB | English | Isbn: 978-1650229676 | Author: Anton Petrunin | Year: 2019
Description:
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.
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.
Category:Non-Euclidean Geometries, Math Teaching Materials
Download File Free Euclidean plane and its relatives: A minimalist introduction
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