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