The Elements of Non-Euclidean Geometry

Coolidge, Julian Lowell

ISBN 10: 9393971617 ISBN 13: 9789393971616

Published by Hawk Press, 1998

Language: English

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Bibliographic Details

Title: The Elements of Non-Euclidean Geometry
Publisher: Hawk Press
Publication Date: 1998
Language: English
ISBN 10: 9393971617
ISBN 13: 9789393971616
Binding: Soft cover
Condition: New

About this title

Synopsis

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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