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BOOK COVER 1 TITLE 4 COPYRIGHT 5 CONTENTS 6 INTRODUCTION 13 CHAPTER 1 HISTORY OF GEOMETRY 22 ANCIENT GEOMETRY: PRACTICAL AND EMPIRICAL 23 FINDING THE RIGHT ANGLE 24 LOCATING THE INACCESSIBLE 25 ESTIMATING THE WEALTH 26 ANCIENT GEOMETRY: ABSTRACT AND APPLIED 27 THE THREE CLASSICAL PROBLEMS 27 IDEALIZATION AND PROOF 30 THE EUCLIDEAN SYNTHESIS 31 GNOMONICS AND THE CONE 33 ASTRONOMY AND TRIGONOMETRY 34 ANCIENT GEOMETRY: COSMOLOGICAL AND METAPHYSICAL 35 PYTHAGOREAN NUMBERS AND PLATONIC SOLIDS 35 MEASURING THE EARTH AND HEAVENS 37 THE POST-CLASSICAL PERIOD 39 PASSAGE THROUGH ISLAM 39 EUROPE REDISCOVERS THE CLASSICS 41 LINEAR PERSPECTIVE 42 TRANSFORMATION 44 FRENCH CIRCLES 44 GEOMETRICAL CALCULUS 47 THE WORLD SYSTEM 50 RELAXATION AND RIGOUR 51 PROJECTION AGAIN 52 NON-EUCLIDEAN GEOMETRIES 53 A GRAND SYNTHESIS 55 THE REAL WORLD 58 CHAPTER 2 BRANCHES OF GEOMETRY 60 EUCLIDEAN GEOMETRY 60 FUNDAMENTALS 61 PLANE GEOMETRY 62 SOLID GEOMETRY 68 CONIC SECTION 70 ANALYTIC GEOMETRY 74 ELEMENTARY ANALYTIC GEOMETRY 74 ANALYTIC GEOMETRY OF THREE AND MORE DIMENSIONS 78 ALGEBRAIC GEOMETRY 80 PROJECTIVE GEOMETRY 82 PARALLEL LINES AND THE PROJECTION OF INFINITY 83 PROJECTIVE INVARIANTS 84 PROJECTIVE CONIC SE

Author

WILLIAM L. HOSCH

Language

EN