The Elements of Non-Euclidean Geometry

Coolidge, Julian Lowell

ISBN 10: 9395034092 ISBN 13: 9789395034098

Editore: Hawk Press, 1998

Lingua: Inglese

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Titolo: The Elements of Non-Euclidean Geometry
Editore: Hawk Press
Data di pubblicazione: 1998
Lingua: Inglese
ISBN 10: 9395034092
ISBN 13: 9789395034098
Rilegatura: Rilegato
Condizione: New

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Riassunto

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

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