Download or read book Euclidean Plane and Its Relatives written by Anton Petrunin and published by . This book was released on 2017-08-07 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.