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Contents
Common terms and phrasesabsolute geometry arbitrary axioms axis bowed geodesic Chapter chord Common Notions complex numbers composition congruent constructed containing coordinates cosh cross ratio curve defined definition denote dxdy elliptic elliptic geometry equation Euclidean center Euclidean circle Euclidean geometry Euclidean line segment Euclidean plane Euclidean radius Euclidean rigid motions Euclidean straight lines Example Exercise fact FIGURE fixed point flow diagram flow lines follows function Gauss Gaussian curvature glide-reflections Hence hyperbolic area hyperbolic distance hyperbolic geodesic hyperbolic geometry hyperbolic length hyperbolic plane hyperbolic reflection hyperbolic rigid motion hyperbolic rotation hyperbolic triangle interior intersect inversion Lemma line segment maps mathematicians Moebius rigid motion Moebius transformation non-Euclidean geometry orthogonal parallel Parallel Postulate Poincare metric positive proof of Proposition Prove q.e.d. Proposition reader Riemann metric right angles sides sin2 sinh sphere straight geodesic tangent Theorem translation triangle ABC trigonometry unit circle unit disk model upper half-plane vertices xy plane References to this bookFrom other books
From Google ScholarHyperbolic Regular Polygons with Notched EdgesCasey Mann - 2005 - Discrete and Computational Geometry A Stronger Triangle Inequality for Neutral GeometryMelissa Baker, Robert C Powers - 2007 - Forum Geometricorum Hyperbolic Constructions in Geometer’s SketchpadSteve Szydlik References from web pagesPoincaré half-plane model - Wikipedia, the free encyclopedia Suggestions for non-euclidean geometry (analytical) books? Annotated Bibliography Geometry Stahl Saul | English Bookstore in Czech Republic The Poincare Half-Plane - Boek - BESLIST.nl 중앙대학교 수학과에 오신것을 환영합니다~* :) Drawing Graphs in the Hyperbolic Plane Bibliographic information
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