Mathematical Experiment 14


  1. Illustrate Poncelet's Porism for a parabola.

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

  4. Illustrate Poncelet's Porism for an ellipse.

  5.  
  6. ``Distort'' the drawing in the previous problem to show Poncelet's Porism can be extended to the case of ellipse-ellipse.

  7.  
  8. Change the configuration to show Poncelet's Porism holds for hyperbola-ellipse.

  9.  
  10. Extend Poncelet's Porism to ex-circle.

  11.  
  12. 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.

  13.