Geometric Construction 2
Deltoid, Nephroid, Cardioid and Astroid
| Construct an animation showing the formation of
the deltoid |
| Construct an animation showing the formation of
the nephroid |
| Construct an animation showing the formation of
the cardioid |
| Construct an animation showing the formation of
the astroid |
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| Show how each of the four curves may be generated in two ways. |
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| Construct each of the four curves as the envelope of its tangent. |
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| Construct the osculating circle of each of the four curves. |
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| Construct circles
enveloping both the deltoid and the 3-cusped epicycloid.
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| Construct circles
enveloping both the astroid and the 4-cusped epicycloid.
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| Construct this pattern:
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