Conics Doug Kuhlmann

Doug Kuhlmann, Jun 20, 2015

Applets I use when teaching conic sections

Table of Contents

  1. Rectangular
    1. Ellipse eccentricity
    2. Ellipse-Hyperbola Envelopes
    3. Tangent to ellipse from external point
    4. Ellipse reflecting property
    5. Hyperbola eccentricity
    6. Tangent to hyperbola from an external point
    7. Hyperbola reflecting property
    8. Parabola by folding
    9. Parabola tangents from external point
    10. Parabola reflecting property
    11. Rotate Conics
  2. Polar
    1. Polar Conics using eccentricity and directrix
    2. Polar Conics Eccentricity & Directrix
    3. Rotating Polar Conics
    4. Polar Parabola

1.

Rectangular

  • 1. Ellipse eccentricity
  • 2. Ellipse-Hyperbola Envelopes
  • 3. Tangent to ellipse from external point
  • 4. Ellipse reflecting property
  • 5. Hyperbola eccentricity
  • 6. Tangent to hyperbola from an external point
  • 7. Hyperbola reflecting property
  • 8. Parabola by folding
  • 9. Parabola tangents from external point
  • 10. Parabola reflecting property
  • 11. Rotate Conics

1.1.

Ellipse eccentricity

Shows effect on ellipse when eccentricity changes.
Ellipse eccentricity
– Doug Kuhlmann

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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1.10.

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1.11.

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2.

Polar

  • 1. Polar Conics using eccentricity and directrix
  • 2. Polar Conics Eccentricity & Directrix
  • 3. Rotating Polar Conics
  • 4. Polar Parabola

2.1.

Polar Conics using eccentricity and directrix

One focus at pole. Chang e and d using input boxes.
– Doug Kuhlmann

2.2.

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2.3.

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2.4.

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