Non-Euclidean Geometry

1. INTRODUCTION 2. PANGEOMETRY Propositions Depending Only on the Principle of Superposition Propositions Which Are True for Restricted Figures The Three Hypotheses 3. THE HYPERBOLIC GEOMETRY Parallel Lines Boundary-curves and Surfaces, and Equidistant-curves and Surfaces Trigonometrical Formulae 4. THE ELLIPTIC GEOMETRY 5.ANALYTIC NON-EUCLIDEAN GEOMETRY Hyperbolic Analytic Geometry Elliptic Analytic Geometry Elliptic Solid Analytic Geometry 6. HISTORICAL NOTE