Constructing Conic Sections

Tabitha McAfee, Mar 9, 2017

Exploring the construction of conic sections. By Tabitha and Joe B

Table of Contents

  1. Introduction
    1. Introduction
    2. Visualizing the conic sections
  2. Constructions
    1. Constructing a circle
    2. The Locus
    3. Constructing a Parabola
    4. Constructing an Ellipse
    5. Constructing a Hyperbola
  3. Wrap up
    1. Cool Extensions
    2. Special Thanks!

1.

Introduction

  • 1. Introduction
  • 2. Visualizing the conic sections

1.1.

Introduction

Here we will talk about how COOL conic sections are outline what the project will look at: [br][br]-> 3-D representation of conic sections[br][br]-> Constructing a circle[br][br]-> Constructing a parabola[br][br]-> Constructing an ellipse[br][br]-> Constructing a hyperbola[br][br]-> Cool apps we stole from other people
When is the last time you thought about/worked with conic sections?
Have you taught conic sections before? To what class or grade level?
Are you ready for some super cool constructions?
– Tabitha McAfee

1.2.

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2.

Constructions

  • 1. Constructing a circle
  • 2. The Locus
  • 3. Constructing a Parabola
  • 4. Constructing an Ellipse
  • 5. Constructing a Hyperbola

2.1.

Constructing a circle

Step 1: Place a point A anywhere on the graph[br]Step 2: Construct a line segment with given length[br]Step 3: Turn on trace function for point B
What do you see when you move around point B?
After this completing this construction, how would you define a circle?
– Tabitha McAfee

2.2.

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2.3.

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2.4.

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2.5.

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3.

Wrap up

  • 1. Cool Extensions
  • 2. Special Thanks!

3.1.

Cool Extensions

Analytic Geometric Representations
Below are interactive analytic representations of the conic sections created by Jennifer Silverman. As you move sliders, you can see the equations change.
– Jennifer Silverman, Tabitha McAfee

3.2.

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Information