Euclidean plane and its relatives; a minimalist introduction
Euclidean plane and its relatives; a minimalist introduction
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 insights / Projective model / Complex coordinates / Geometric constructions / Area.
Anton Petrunin
数学
Anton Petrunin.Euclidean plane and its relatives; a minimalist introduction[EB/OL].(2025-07-07)[2025-07-16].https://arxiv.org/abs/1302.1630.点此复制
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