Book:J.G. Semple/Algebraic Projective Geometry

J.G. Semple and G.T. Kneebone: Algebraic Projective Geometry

Published $\text {1952}$, Oxford at the Clarendon Press

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