Book 10:  Circles and Parabolas
 
You Will

Subjects

 

Chapter 1

Chapter 2

Chapter 3

Appendix

  • Circles

  • Parabolas

  • Parabolas in the General Form

  • Apollo’s Plague

  • Drawing the Line

  • Going Round in Circles

 

 

Video Highlights


Circles and parabolas 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 finding the epicenter of an earthquake, the use of parabolic dishes in communications, and problems in civil engineering.

 

Introduction

Chapter 1

Chapter 2

Chapter 3

  • Chef Sol

  • Circles

  • Earthquake

  • Circle Equation

  • Translated Circles

  • General Form

  • Three Dimensional Relatives

  • Wax, Pins, and String

  • Equation of a Parabola

  • Parabolas Everywhere

  • General Form of the Equation

  • A Tougher Conversion

  • Horizontal Axis of Symmetry 

 

 

Summary/Terminology

 

Circle

Radius

Center

Conic Sections

Center-radius Form

General Form of the Equation for a Circle

Distance Formula

Directrix

Focus

Vertex

Axis of Symmetry

Parabola

Interpretations of a 

Interpretations of h

Interpretations of k