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Geometric Construction 3

Construct an animation displaying the regular triangle escribed to an ellpse.

Construct an animation displaying an ellipse inscribed in a fixed regular
triangle.

Given a fixed ellipse, construct an animation displaying various hyperbola
having the same foci as the ellipse and orthogonal to it.

Given a fixed hyperbola, construct an animation displaying various ellipses
having the same foci as the hyperbola and orthogonal to it.

Construct an animation displaying a circle tangent to an ellipse and
passing through a fixed point.

Construct an animation displaying a circle tangent to both another
circle and an ellipse.