CHAPTER III.--The Non-Euclidean Geometries 55

The Bolyai-Lobachevski Geometry 56 Riemann's Geometry 57 The Surfaces of Constant Curvature 58 Interpretation of Non-Euclidean Geometries 59 The Implicit Axioms 60 The Fourth Geometry 62 Lie's Theorem 62 Riemann's Geometries 63 On the Nature of Axioms 63