Conics

Steve Weissburg, Jan 25, 2020

Useful sketches for understanding conics.

Table of Contents

  1. Parabolas
    1. Parabola from Perpendicular Bisectors
    2. Parabola - Focus/Directrix Definition
  2. Ellipses
    1. Ellipse - 2 focus
    2. Falling Ladder
  3. Hyperbolas
    1. Hyperbola - 2 focus definition
  4. Focus/Directrix
    1. Focus/Directrix - all Conics
    2. Polar Equation of Conic
  5. Other Loci
    1. Pascal's Conics
    2. Circle Locus
    3. Ellipse/Hyperbola Pencil
  6. Sections of Cone
    1. Sections of Double Cone # 1
    2. Sections of Double Cone #2
    3. Cone and Single Plane
    4. Dandelin Spheres

1.

Parabolas

  • 1. Parabola from Perpendicular Bisectors
  • 2. Parabola - Focus/Directrix Definition

1.1.

Parabola from Perpendicular Bisectors

– Steve Weissburg

1.2.

–

2.

Ellipses

  • 1. Ellipse - 2 focus
  • 2. Falling Ladder

2.1.

Ellipse - 2 focus

– Steve Weissburg

2.2.

–

3.

Hyperbolas

  • 1. Hyperbola - 2 focus definition

3.1.

Hyperbola - 2 focus definition

– Steve Weissburg

4.

Focus/Directrix

  • 1. Focus/Directrix - all Conics
  • 2. Polar Equation of Conic

4.1.

Focus/Directrix - all Conics

– Steve Weissburg

4.2.

–

5.

Other Loci

  • 1. Pascal's Conics
  • 2. Circle Locus
  • 3. Ellipse/Hyperbola Pencil

5.1.

Pascal's Conics

– Steve Weissburg

5.2.

–

5.3.

–

6.

Sections of Cone

Some of these are not original.

  • 1. Sections of Double Cone # 1
  • 2. Sections of Double Cone #2
  • 3. Cone and Single Plane
  • 4. Dandelin Spheres

6.1.

Sections of Double Cone # 1

– Steve Weissburg

6.2.

–

6.3.

–

6.4.

–

Information