Geometric Construction 5
Show how the deltoid is formed.
Show how the astroid is formed.
Show how the cardioid is formed.
Show how the nephroid is formed.
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Construct the deltoid as the envelope of its tangent.
Construct the astroid as the envelope of its tangent.
Construct the cardioid as the envelope of its tangent.
Construct the nephroid as the envelope of its tangent.
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Show how the deltoid may be generated in two ways.
Show how the cardioid may be generated in two ways.
Show how the astroid may be generated in two ways.
Show how the nephroid may be generated in two ways.
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Construct circles enveloping both the deltoid and the 3-cusped epicycloid.
Construct circles enveloping both the astroid and the 4-cusped epicycloid.
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Construct the osculating circle of the astroid.
Construct the osculating circle of the deltoid.
Construct the osculating circle of the cardioid.
Construct the osculating circle of the nephroid.