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The Elements of Non-Euclidean Geometry
Julian Lowell Coolidge
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Hawk Press
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The Elements of Non-Euclidean Geometry - Coolidge, Julian Lowell
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Reseña del libro "The Elements of Non-Euclidean Geometry"
CHAPTER I FOUNDATION FOR METRICAL GEOMETRY IN A LIMITED REGIONCHAPTER II CONGRUENT TRANSFORMATIONSCHAPTER III THE THREE HYPOTHESESCHAPTER IV THE INTRODUCTION OF TRIGONOMETRIC FORMULAECHAPTER V ANALYTIC FORMULAECHAPTER VI CONSISTENCY AND SIGNIFICANCE OF THE AXIOMSCHAPTER VII THE GEOMETRIC AND ANALYTIC EXTENSION OF SPACECHAPTER VIII THE GROUPS OF CONGRUENT TRANSFORMATIONSCHAPTER IX POINT, LINE, AND PLANE TREATED ANALYTICALLYCHAPTER X THE HIGHER LINE GEOMETRYCHAPTER XI THE CIRCLE AND THE SPHERECHAPTER XII CONIC SECTIONSCHAPTER XIII QUADRIC SURFACESCHAPTER XIV AREAS AND VOLUMESCHAPTER XV INTRODUCTION TO DIFFERENTIAL GEOMETRYCHAPTER XVI DIFFERENTIAL LINE-GEOMETRYCHAPTER XVII MULTIPLY CONNECTED SPACESCHAPTER XVIII THE PROJECTIVE BASIS OF NON-EUCLIDEAN GEOMETRYCHAPTER XIX THE DIFFERENTIAL BASIS FOR EUCLIDEAN AND NON-EUCLIDEAN GEOMETRY
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