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