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