Next:
Section 0. Preface and Acknowledgements
An Introduction To Conic Sections
Section 0. Preface and Acknowledgements
How To Use This Document
Acknowledgements
Section 1. General Overview
Historical View of the Conic Sections
Geometric Origin of the Conic Sections
Algebraic View of the Conic Sections
Section 2. The Ellipse and Circle
Definition
Geometric Construction
Algebraic Approach
Examples -- Ellipses
Example 1
Example 2
Example 3
Example 4
Example 5
Exercises -- Ellipses
Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Exercise 7
Exercise 8
Exercise 9
Exercise 10
Exercise 11
Exercise 12
Section 3. The Hyperbola
Definition
Examples -- Hyperbolas
Example 1
Example 2
Example 3
Example 4
Example 5
Exercises -- Hyperbolas
Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Exercise 7
Exercise 8
Exercise 9
Exercise 10
Section 4. The Parabola
Definition
Examples -- Parabolas
Example 1
Example 2
Example 3
Example 4
Example 5
Exercises -- Parabolas
Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Section 5. Rotation of Axes (Optional)
Example
Section 6. Applications
Parabolic Reflectors
Elliptical Orbits
Whispering Galleries
Section 7. Review Exercises
Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
About this document ...
Next:
Section 0. Preface and Acknowledgements
James A. Sellers