Book:J.G. Semple/Algebraic Projective Geometry

Subject Matter

 * Algebraic Geometry

Contents

 * Preface (April 1952)


 * PART I: THE ORIGINS AND DEVELOPMENT OF GEOMETRICAL KNOWLEDGE
 * I. The Concept of Geometry
 * II. The Analytical Treatment of Geometry


 * PART II: ABSTRACT PROJECTIVE GEOMETRY
 * III. Projective Geometry of One Dimension
 * IV. Projective Geometry of Two Dimensions
 * V. Conic Loci and Conic Envelopes
 * VI. Further Properties of Conics
 * VII. Linear Systems of Conics
 * VIII. Higher Correspondencies, Apolarity and the Theory of Invariants
 * IX. Transformations of the Plane
 * X. Projective Geometry of Three Dimensions
 * XI. The Quadric
 * XII. The Twisted Cube Curve and Cubic Surfaces
 * XIII. Linear Systems of Quadrics
 * XIV. Linear Transformations of Space
 * XV. Line Geometry
 * XVI. Projective Geometry of $n$ Dimensions


 * APPENDIX. Two Basic Algebraic Theorems


 * INDEX