Book:D.M.Y. Sommerville/Analytical Conics

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