Book 11

Book 11: Ellipse and Hyperbola

You Will

Determine the equation of an ellipse
Graph an ellipse when given its equation
Determine the characteristics of hyperbolas when using their graphs or equations

Subjects

Chapter 1	Chapter 2	Chapter 3	Appendix
Ellipse	Graphing Ellipses	Hyperbolas	Revolting Development Into Orbit Taking Time

Video Highlights

Ellipses and hyperbolas are conic sections with characteristics that can be described algebraically. This book defines the characteristics of these shapes and demonstrates the relationship between a shape’s graph and its equation. Examples include surgery with an elliptical lithotriptor and navigation with LORAN.

Introduction

Chapter 1

Chapter 2

Chapter 3

Ships and Stones

Inscribing and Describing an Ellipse
Equation of an Ellipse

Drawing an Ellipse
Reflecting on Ellipses

Hyperbolas
Transverse Axis
Useful Hyperbolas
A Little Algebra
Graphing Asymptotes
LORAN

Summary/Terminology

Ellipse
Foci
Center
Major Axis
Minor Axis
Semi-major axis
Semi-minor axis
Vertices

Pythagorean Theorem
Elliptical Orbit
Hyperbola
Asymptotes
Fundamental Rectangle
Transverse Axis