Proceedings ...: Geometric transformation groups and other topics; lectures by H. S. M. Coxeter and othersLincoln K. Durst Committee on the Undergraduate Program in Mathematics, Mathematical Association of America, 1967 - Geometry |
Contents
TRANSFORMATION GROUPS FROM THE GEOMETRIC | 1 |
TWO APPLICATIONS OF GEOMETRY | 73 |
SOME COMPUTATIONAL ILLUSTRATIONS OF GEOMETRICAL | 107 |
Copyright | |
3 other sections not shown
Common terms and phrases
ABCD affine geometry affine reflections affinely regular angle axioms axis called circle centered coaxal circles collinear complete quadrangle conic connected sets consider convex set coordinates corresponding course Coxeter curve defined definition dilatation dilative rotation direct isometry distinct points ellipse equiaffinity Euclidean geometry Euclidean plane example Figure given Gleason glide reflection H. S. M. Coxeter half-turn homographies hyperbolic geometry hyperbolic space idea inequality integral geometry invariant point inversive distance inversive geometry inversive invariant inversive plane lattice point lecture mappings mathematical metric mid-circle midpoint mirrors Möbius involution non-intersecting circles normal subgroup notation operation orthogonal pair perpendicular perspectivity point of intersection polar polygon Prenowitz problem projective collineation projective geometry projective plane proof quadric ratio real numbers result segment semispace similarity sphere subsets symmetric tangent theorem three reflections tion topological transformation translation triangle ABC ultraparallel unique vertex vertices Wallace separation