Description

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