Geometric Construction 5

Show how the deltoid is formed.

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Show how the astroid is formed.

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Show how the cardioid is formed.

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Show how the nephroid is formed.

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Construct the deltoid as the envelope of its tangent.

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Construct the astroid as the envelope of its tangent.

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Construct the cardioid as the envelope of its tangent.

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Construct the nephroid as the envelope of its tangent.

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Show how the deltoid may be generated in two ways.

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Show how the cardioid may be generated in two ways.

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Show how the astroid may be generated in two ways.

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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.

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

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Construct the osculating circle of the astroid.

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Construct the osculating circle of the deltoid.

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Construct the osculating circle of the cardioid.

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Construct the osculating circle of the nephroid.

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