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