# Book:D.M.Y. Sommerville/Analytical Geometry of Three Dimensions

## D.M.Y. Sommerville: *Analytical Geometry of Three Dimensions*

Published $1934$, **Cambridge at the University Press**.

### Subject Matter

### Contents

*Preface*

*Chap.*I: Cartesian coordinate-system*Chap.*II: The straight line and plane*Chap.*III: General homogeneous or projective coordinates*Chap.*IV: The sphere*Chap.*V: The cone and cylinder*Chap.*VI: Types of surfaces of the second order*Chap.*VII: Elementary properties of quadric surfaces derived from their simplest equations*Chap.*VIII: The reduction of the general equation of the second degree*Chap.*IX: Generating lines and parametric representation*Chap.*X: Plane sections of a quadric*Chap.*XI: Tangential equations*Chap.*XII: Foci and focal properties*Chap.*XIII: Linear systems of quadrics*Chap.*XIV: Curves and developables*Chap.*XV: Invariants of a pair of quadrics*Chap.*XVI: Line geometry*Chap.*XVII: Algebraic surfaces

*Index*