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DOUBLE-HEART CURVE
Curve studied by Grégoire de Saint
Vincent in 1647 and Cramer in 1750.
Homemade nickname: rabbit's ears. |
Cartesian equation: Quartic of genus 1. |
The double hearts are the polyzomal curves associated to two tangent circles, here the circles |
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They are obtained by the slider-crank mechanism as follows: |
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Opposite, photograph of a real mechanism tracing this curve thanks to this method. | ![]() |
Another curve shaped like rabbit's ears, due to
Sébastien Kerner: |
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Not to be mistaken for the Viviani curve, including the regular bifolium. They are rational quartics. |
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© Robert FERRÉOL, Jacques MANDONNET 2017