Plane and Solid Analytic Geometry: An Elementary Textbook (Classic Reprint)

Plane and Solid Analytic Geometry: An Elementary Textbook — a classic guide to space geometry that builds understanding through clear explanations and plenty of practice.

This edition surveys core topics in analytic geometry, including quadric surfaces, tangent planes, and the geometry of space. It combines definitions, derivations, and a wealth of worked examples with problems to reinforce learning. The text emphasizes how to translate geometric ideas into equations and how to analyze surfaces, lines, and curves in three dimensions.

• Foundations of projective and polar coordinates as they apply to space figures


• Rational treatment of ruled surfaces, tangent planes, and normals for quadric surfaces


• Techniques for obtaining tangent lines, subtangents, subnormals, and diametral planes


• Step-by-step problem sets that illustrate methods and applications

Ideal for readers seeking a solid, methodical introduction to analytic geometry and its classical results, with a focus on the geometry of three-dimensional space.