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

D.M.Y. Sommerville: Analytical Conics (3rd Edition)

Published $\text {1933}$, 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.)

$\text {I}$. Coordinates

$\text {II}$. The Straight Line

$\text {III}$. The Circle

$\text {IV}$. The Ellipse

$\text {V}$. The Hyperbola

$\text {VI}$. The Parabola

$\text {VII}$. Systems of Circles and Inversion

$\text {VIII}$. Oblique Axes and Transformation of Coordinates

$\text {IX}$. Tracing of Conics

$\text {X}$. The General Conic

$\text {XI}$. Line-coordinates and Envelopes

$\text {XII}$. Projective Geometry and Homogeneous Coordinates

$\text {XIII}$. The Conic in Homogeneous Coordinates

$\text {XIV}$. The Line at Infinity and the Circular Points

$\text {XV}$. Confocal Conics and Similar Conics

$\text {XVI}$. Pencils and Ranges of Conics

$\text {XVII}$. Parametric Representation

$\text {XVIII}$. Correspondence, Homography, and Involution

$\text {XIX}$. Systems of Points on a Conic

$\text {XX}$. Invariants

Answers

Index

Next

Further Editions

• 1924: D.M.Y. Sommerville: Analytical Conics
• 1929: D.M.Y. Sommerville: Analytical Conics (2nd ed.)

Source work progress

• 1933: D.M.Y. Sommerville: Analytical Conics (3rd ed.) ... (previous) ... (next): Chapter $\text {IV}$. The Ellipse: $3$.

Most of the examples are to be missed, as they are minimally instructive.

Building up common material, so starting from Next:

• 1933: D.M.Y. Sommerville: Analytical Conics (3rd ed.) ... (previous) ... (next): Chapter $\text {V}$. The Hyperbola: $3$. Asymptotes