Chapter 12: Analytic Geometry of Conic Sections and Quartic Surfaces

In this chapter you will learn how to apply algebraic techniques to analyze ellipses, hyperbolas, parabolas, and circles, all of which are formed by planes sectioning a cone. Fixed focal points and directrix lines help define these conic sections. The shapes of spaceship and comet paths are conic sections, and reflective surfaces are formed by rotating the conic section shapes about their axes.