The Elements of Non-Euclidean Geometry

<p>CHAPTER I FOUNDATION FOR METRICAL GEOMETRY IN A LIMITED REGION</p><p>CHAPTER II CONGRUENT TRANSFORMATIONS</p><p>CHAPTER III THE THREE HYPOTHESES</p><p>CHAPTER IV THE INTRODUCTION OF TRIGONOMETRIC FORMULAE</p><p>CHAPTER V ANALYTIC FORMULAE</p><p>CHAPTER VI CONSISTENCY AND SIGNIFICANCE OF THE AXIOMS</p><p>CHAPTER VII THE GEOMETRIC AND ANALYTIC EXTENSION OF SPACE</p><p>CHAPTER VIII THE GROUPS OF CONGRUENT TRANSFORMATIONS</p><p>CHAPTER IX POINT LINE AND PLANE TREATED ANALYTICALLY</p><p>CHAPTER X THE HIGHER LINE GEOMETRY</p><p>CHAPTER XI THE CIRCLE AND THE SPHERE</p><p>CHAPTER XII CONIC SECTIONS</p><p>CHAPTER XIII QUADRIC SURFACES</p><p>CHAPTER XIV AREAS AND VOLUMES</p><p>CHAPTER XV INTRODUCTION TO DIFFERENTIAL GEOMETRY</p><p>CHAPTER XVI DIFFERENTIAL LINE-GEOMETRY</p><p>CHAPTER XVII MULTIPLY CONNECTED SPACES</p><p>CHAPTER XVIII THE PROJECTIVE BASIS OF NON-EUCLIDEAN GEOMETRY</p><p>CHAPTER XIX THE DIFFERENTIAL BASIS FOR EUCLIDEAN AND NON-EUCLIDEAN GEOMETRY</p>