Preface
Chapter 1  Euclidean Geometry
Chapter 2  Euclidean Rigid Motions
Chapter 3  Inversions
Chapter 4  The Hyperbolic Plane
Chapter 5  Euclidean Versus Hyperbolic Triangle
Chapter 6  The Angles of the Hyperbolic Triangle
Chapter 7  Hyperbolic Area
Chapter 8  The Trigonometry of the Hyperbolic Triangle
Chapter 9  Complex Numbers and Rigid Motions
Chapter 10  Absolute Geometry and the Angles of the Triangle
Chapter 11  Spherical Trigonometry and Elliptic Geometry
Chapter 12  Differential Geometry and Gaussian Curvature
Chapter 13  The Cross-Ration and the Unit Disk Model
Chapter 14  The Beltrami-Klein Model
Chapter 15  A Brief History of Non-Euclidean Geometry
Chapter 16  Spheres and Horospheres
Appendix A  Proofs of Some of Euclid's Propositions
Appendix B  Formulas for Hyperbolic Trigonometric Functions
Sources, References and Suggested Readings
Index