College Algebra 9th txtbk

CHAPTER
Additional Topics in
Analytic Geometry
C
ANALYTIC geometry is the study of geometric objects using algebraic
techniques. René Descartes (1596–1650), the French philosopher
and mathematician, is generally recognized as the founder of the
subject. We used analytic geometry in Chapter 2 to obtain equations
of lines and circles. In Chapter 6, we take a similar approach to the
study of parabolas, ellipses, and hyperbolas. Each of these geometric
objects is a conic section, that is, the intersection of a plane and a
cone. We will derive equations for the conic sections and explore a
wealth of applications in architecture, communications, engineering,
medicine, optics, and space science.
6OUTLINE
6-1 Conic Sections; Parabola
6-2 Ellipse
6-3 Hyperbola
Chapter 6 Review
Chapter 6 Group Activity:
Focal Chords