Euclidean plane and its relatives: A minimalist introduction (by Anton Petrunin)

Euclidean plane and its relatives: A minimalist introduction (by Anton Petrunin) Ebook
Author
Genres
ISBN-139781974214167
ISBN-101974214168
Published
Publisher
Languageen
Pages200
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 / Parallel lines and similar triangles / 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.
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