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BERNOULLIAN QUARTIC

Curve studied by Jakob Bernoulli in 1687 and Leibniz
in 1696.
Jakob Bernoulli (1654 - 1705): Swiss mathematician. |

Cartesian equation:
(a ³ b), or .
Quartic of genus 1. Total area: (equal to that of the smaller circle). |

The Bernoullian quartic is the polyzomal curve median of two concentric circles.

It can be obtained mechanically by a slider-crank mechanism:

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© Robert FERRÉOL 2017