비 유클리드 기하학의 요소들 (The Elements of non-Euclidean Geometry, by Julian Lowell Coolidge)

비 유클리드 기하학의 요소들. The Elements of non-Euclidean Geometry,by Julian Lowell Coolidge
TABLE OF CONTENTS
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
Index