Geometric Construction 7

Conics and Deltoid

Construct an animation displaying a rigid deltoid sliding outside an ellipse.

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Construct the ellipse based on the parametric representation

x = a cos t

y = b sin t

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Construct an animation displaying a rigid ellipse sliding inside a deltoid.

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Construct the tangent on the ellipse based on the parametric representation

x = a cos t

y = b sin t

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Construct the tangent on the hyperbola based on the parametric representation

x = a sec t

y = b tan t

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Construct an animation displaying an ellipse tangent to a pair of circles and the pair of their external common tangents.