Introduction to Non-Euclidean Geometry

One of the first college-level texts for elementary courses in non-Euclidean geometry, this volume is geared toward students familiar with calculus. Topics include the fifth postulate, hyperbolic plane geometry and trigonometry, and elliptic plane geometry and trigonometry. Extensive appendixes offer background information on Euclidean geometry, and numerous exercises appear throughout the text. 1945 edition.

I. The Foundation of Euclidean Geometry II. The Fifth Postulate III. The Discovery of Non-Euclidean Geometry IV. Hyperbolic Plane Geometry V. Hyperbolic Plane Trigonometry VI. Applications of Calculus to the Solutions of Some Problems in Hyperbolic Geometry VII. Elliptic Plane Geometry and Trigonometry VIII. The Consistency of the Non-Euclidean Geometries Appendix I. The Foundation of Euclidean Geometry II. Circular and Hyperbolic Functions III. The Theory of Orthogonal Circles and Allied Topics IV. The Elements of Inversion Index