Euclidean Plane And Its Relatives
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Euclidean Plane and Its Relatives
Author | : Anton Petrunin |
Publisher | : |
Total Pages | : 200 |
Release | : 2017-08-07 |
Genre | : |
ISBN | : 9781974214167 |
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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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