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Geometric Construction 7

Construct the part of the tangent of the deltoid intercepted by the curve.

Construct two mutually orthogonal tangents of the deltoid. Where do they
meet?

Construct two mutually orthogonal normals of the deltoid. Where do they
meet?

Given a fixed deltoid, construct an animation displaying its circumscribed
nephroid.

Given a fixed nephroid, construct an animation displaying its inscribed
deltoid
.

Construct an animation displaying a deltoid sliding along two orthogonal
straight

lines.

Construct a deltoid tangent to the sides of a given triangle.