ProofWiki:Books/D.M.Y. Sommerville/Analytical Conics

D.M.Y. Sommerville: Analytical Conics

Published 1924, 3rd Edition 1933, G Bell and Sons, Ltd.

Subject Matter

• Analytic Geometry

Contents

Preface (Victoria Univ. Coll., Wellington, N.Z., July, 1923)

Preface to the Third Edition (Victoria Univ. Coll., Wellington, N.Z.)

I. Coordinates

II. The Straight Line

III. The Circle

IV. The Ellipse

V. The Hyperbola

VI. The Parabola

VII. Systems of Circles and Inversion

VIII. Oblique Axes and Transformation of Coordinates

IX. Tracing of Conics

X. The General Conic

XI. Line-coordinates and Envelopes

XII. Projective Geometry and Homogeneous Coordinates

XIII. The Conic in Homogeneous Coordinates

XIV. The Line at Infinity and the Circular Points

XV. Confocal Conics and Similar Conics

XVI. Pencils and Ranges of Conics

XVII. Parametric Representation

XVIII. Correspondence, Homography, and Involution

XIX. Systems of Points on a Conic

XX. Invariants

Answers

Index