Introduction to GeometryThis classic work is now available in an unabridged paperback edition. The Second Edition retains all the characterisitcs that made the first edition so popular: brilliant exposition, the flexibility permitted by relatively self-contained chapters, and broad coverage ranging from topics in the Euclidean plane, to affine geometry, projective geometry, differential geometry, and topology. The Second Edition incorporates improvements in the text and in some proofs, takes note of the solution of the 4-color map problem, and provides answers to most of the exercises. |
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absolute geometry affine affine geometry angle asymptotic triangle axes Axiom axis barycentric coordinates Cartesian coordinates cells circle with center collinear congruent conic Coxeter cube curvature curve deduce derived diagonal dilatation dilative rotation direction distance du¹ du² edges elliptic equal equation Euclidean EXERCISES expressed faces Figure finite formula fundamental region geodesics geometry given glide reflection half-turn Hence horocycle hyperbolic infinite integers invariant point inversive plane isometry lattice points lines of curvature locus Mathematical meet midpoints notation obtain octahedron opposite orthogonal P₁ pairs parallel lines parallelogram parametric parametric curves pencil pentagon perpendicular polar coordinates polygon positive projective plane proof quadrangle quadric r₁ radius ratio rays regular segment sides sphere square surface symmetry group t₁ tangent tessellation tetrahedron theorem tion transforms translation triangle ABC vector vertex vertices ΣΣ