Mathematical Experiment 14

  1. Illustrate Poncelet's Porism for a parabola.

    2.  
  2. ``Distort'' the drawing in the previous problem to show Poncelet's Porism can be extended to the case of parabola-ellipse.

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  3. Illustrate Poncelet's Porism for an ellipse.

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  4. ``Distort'' the drawing in the previous problem to show Poncelet's Porism can be extended to the case of ellipse-ellipse.

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  5. Change the configuration to show Poncelet's Porism holds for hyperbola-ellipse.

    6.  
  6. Extend Poncelet's Porism to ex-circle.

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  7. Illustrate Frefier's Theorem: the hypotenuse of all right triangles insribed in a conic with the same right-angle vertex passes through a fixed point.

    8.