Geometric Properties of the Cycloids

Construct an animation showing a nephroid sliding outside a fixed cardioid.

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Construct an animation showing a cardioid sliding inside a fixed nephroid.

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Construct an animation displaying the cuspidal chord of a cardioid together with the tangents at the end points of the chord.

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Construct an animation displaying the cardioid having the same cuspidal chord.

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Construct the tangent to the deltoid lying within the curve.

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Construct the cardioid tangent to a fixed deltoid.

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Construct the cardioid tangent to a fixed deltoid.

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Construct an animation displaying a cardioid sliding on two perpendicular lines.

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Construct an animation displaying a deltoid sliding on two perpendicular lines.

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Construct an animation displaying a deltoid sliding inside the astroid.

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Construct an animation displaying an astroid sliding outside a deltoid.

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Construct an animation displaying a deltoid sliding inside a nephroid.

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Construct an animation displaying a nephroid sliding outside a deltoid.