BOOK COVER -- TITLE -- COPYRIGHT -- CONTENTS -- INTRODUCTION -- CHAPTER 1 HISTORY OF GEOMETRY -- ANCIENT GEOMETRY: PRACTICAL AND EMPIRICAL -- FINDING THE RIGHT ANGLE -- LOCATING THE INACCESSIBLE -- ESTIMATING THE WEALTH -- ANCIENT GEOMETRY: ABSTRACT AND APPLIED -- THE THREE CLASSICAL PROBLEMS -- IDEALIZATION AND PROOF -- THE EUCLIDEAN SYNTHESIS -- GNOMONICS AND THE CONE -- ASTRONOMY AND TRIGONOMETRY -- ANCIENT GEOMETRY: COSMOLOGICAL AND METAPHYSICAL -- PYTHAGOREAN NUMBERS AND PLATONIC SOLIDS -- MEASURING THE EARTH AND HEAVENS -- THE POST-CLASSICAL PERIOD -- PASSAGE THROUGH ISLAM -- EUROPE REDISCOVERS THE CLASSICS -- LINEAR PERSPECTIVE -- TRANSFORMATION -- FRENCH CIRCLES -- GEOMETRICAL CALCULUS -- THE WORLD SYSTEM -- RELAXATION AND RIGOUR -- PROJECTION AGAIN -- NON-EUCLIDEAN GEOMETRIES -- A GRAND SYNTHESIS -- THE REAL WORLD -- CHAPTER 2 BRANCHES OF GEOMETRY -- EUCLIDEAN GEOMETRY -- FUNDAMENTALS -- PLANE GEOMETRY -- SOLID GEOMETRY -- CONIC SECTION -- ANALYTIC GEOMETRY -- ELEMENTARY ANALYTIC GEOMETRY -- ANALYTIC GEOMETRY OF THREE AND MORE DIMENSIONS -- ALGEBRAIC GEOMETRY -- PROJECTIVE GEOMETRY -- PARALLEL LINES AND THE PROJECTION OF INFINITY -- PROJECTIVE INVARIANTS -- PROJECTIVE CONIC SECTIONS -- DIFFERENTIAL GEOMETRY -- CURVATURE OF CURVES -- CURVATURE OF SURFACES -- SHORTEST PATHS ON A SURFACE -- NON-EUCLIDEAN GEOMETRY -- SPHERICAL GEOMETRY -- HYPERBOLIC GEOMETRY -- TOPOLOGY -- BASIC CONCEPTS OF GENERAL TOPOLOGY -- ALGEBRAIC TOPOLOGY -- GRAPH THEORY -- CHAPTER 3 BIOGRAPHIES -- ANCIENT GREEK AND ISLAMIC GEOMETERS -- APOLLONIUS OF PERGA -- ARCHIMEDES -- ARCHYTAS OF TARENTUM -- CONON OF SAMOS -- ERATOSTHENES OF CYRENE -- EUCLID -- EUDOXUS OF CNIDUS -- HERON OF ALEXANDRIA -- HIPPIAS OF ELIS -- HIPPOCRATES OF CHIOS -- MENAECHMUS -- OMAR KHAYYAM -- PAPPUS OF ALEXANDRIA -- PYTHAGORAS -- THALES OF MILETUS -- THEAETETUS -- PRE-MODERN (PRE-1800) GEOMETERS.

BONAVENTURA CAVALIERI -- GIOVANNI CEVA -- GIRARD DESARGUES -- RENE DESCARTES -- LEONHARD EULER -- GASPARD MONGE, COUNT DE PELUSE -- GILLES PERSONNE DE ROBERVAL -- SIMON STEVIN -- MODERN GEOMETERS -- LARS VALERIAN AHLFORS -- PAVEL SERGEEVICH ALEKSANDROV -- JAMES W. ALEXANDER II -- SIR MICHAEL FRANCIS ATIYAH -- EUGENIO BELTRAMI -- ENRICO BETTI -- JANOS BOLYAI -- CHARLES-JULIEN BRIANCHON -- LUITZEN EGBERTUS JAN BROUWER -- MICHEL CHASLES -- SHIING-SHEN CHERN -- WILLIAM KINGDON CLIFFORD -- PIERRE RENE DELIGNE -- SIMON KIRWAN DONALDSON -- VLADIMIR GERSHONOVICH DRINFELD -- ALEXANDRE GROTHENDIECK -- DAVID HILBERT -- GASTON MAURICE JULIA -- FELIX KLEIN -- NIELS FABIAN HELGE VON KOCH -- KODAIRA KUNIHIKO -- NIKOLAY IVANOVICH LOBACHEVSKY -- BENOIT MANDELBROT -- JOHN WILLARD MILNOR -- HERMANN MINKOWSKI -- AUGUST FERDINAND MOBIUS -- MORI SHIGEFUMI -- DAVID BRYANT MUMFORD -- SERGEY PETROVICH NOVIKOV -- GRIGORI PERELMAN -- HENRI POINCARE -- JEAN-VICTOR PONCELET -- BERNHARD RIEMANN -- JEAN-PIERRE SERRE -- WACłAW SIERPINSKI -- STEPHEN SMALE -- KARL GEORG CHRISTIAN VON STAUDT -- JAKOB STEINER -- RENE FREDERIC THOM -- WILLIAM PAUL THURSTON -- OSWALD VEBLEN -- VLADIMIR VOEVODSKY -- ANDRE WEIL -- WENDELIN WERNER -- SHING-TUNG YAU -- APPENDIX OF GEOMETRIC TERMS AND CONCEPTS -- ALGEBRAIC SURFACE -- ANGLE TRISECTION: ARCHIMEDES' METHOD -- ANGLE TRISECTION: QUADRATRIX OF HIPPIAS -- AXIOM -- AXIOMATIC METHOD -- BRACHISTOCHRONE -- BRIDGE OF ASSES -- BROUWER'S FIXED POINT THEOREM -- CATENARY -- CEVA'S THEOREM -- CIRCLE -- COMPACTNESS -- CONE -- COORDINATE SYSTEMS -- CROSS RATIO -- CURVE -- CYCLOID -- CYLINDER -- DESARGUES'S THEOREM -- DIMENSION -- DUALITY -- THE ELEMENTS SINCE THE MIDDLE AGES -- ELLIPSE -- ELLIPSOID -- ENVELOPE -- EUCLID'S WINDMILL -- EUCLIDEAN SPACE -- METHOD OF EXHAUSTION -- FRACTAL -- GOLDEN RATIO -- GRAPH -- HARMONIC CONSTRUCTION -- HAUSDORFF SPACE.

HILBERT SPACE -- HIPPOCRATES' QUADRATURE OF THE LUNE -- HYPERBOLA -- HYPERBOLOID -- INCOMMENSURABLES -- ISOMETRIC DRAWING -- KÖNIGSBERG BRIDGE PROBLEM -- LINE -- MEASURING THE EARTH, CLASSICAL AND ARABIC -- MEASURING THE EARTH, MODERN -- METRIC SPACE -- PARABOLA -- PARABOLOID -- PARALLEL POSTULATE -- PENCIL -- PI -- PLATONIC SOLID -- POLYGON -- PROJECTION -- PYTHAGOREAN THEOREM -- SPACE-TIME -- SPIRAL -- SQUARE -- THALES' RECTANGLE -- TOPOLOGICAL SPACE -- GLOSSARY -- BIBLIOGRAPHY -- GENERAL HISTORY -- ANCIENT GREEK GEOMETRY -- ANCIENT NON-GREEK GEOMETRY -- GEOMETRY IN ISLAM -- RENAISSANCE GEOMETRY AND APPLICATIONS -- GEOMETRY AND THE CALCULUS -- AXIOMATIC EUCLIDEAN AND NON-EUCLIDEAN GEOMETRY -- INDEX -- BACK COVER.