**Deltoid,
Nephroid, Cardioid and Astroid**

Construct an animation showing the formation of
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Show how each of the four curves may be generated in two ways. | |

Construct each of the four curves as the envelope of its tangent. | |

Construct the osculating circle of each of the four curves. | |

Construct circles enveloping both the deltoid and the 3-cusped epicycloid. | Construct circles enveloping both the astroid and the 4-cusped epicycloid. |

Construct this pattern: |