Mathematical Experiment 14

Illustrate Poncelet's Porism for a parabola.

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

Illustrate Poncelet's Porism for an ellipse.

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

Change the configuration to show Poncelet's Porism holds for hyperbolaellipse.

Extend Poncelet's Porism to excircle.

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