Two Dürer's Foliums

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Dürer's folium is a special epitrochoid. This Demonstration shows how two such curves, with one of them rotated by 90°, are defined by rolling two small circles of radius over a larger circle of radius .

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The "phase" control draws the curves; the "transparency" control shows the three points and circles.

The folium is also the inverse of Delanges's trisector, and thus can be used to trisect angles.

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Contributed by: Carlos Jaime Mérida (May 2017)
Suggested by: Pablo Alberca Bjerregaard
Open content licensed under CC BY-NC-SA


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