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Lemniscate of Gerono

Grégoire de Saint-Vincent, 1647; named by Aubry, 1895

A figure of eight, the Lissajous curve whose two motions run in the ratio 1 : 2. It has six vertices, four where its curvature peaks and two where it dips, while the lemniscate of Bernoulli has only two. Aubry gave it Gerono’s name in 1895.

x⁴ - x² + y² = 0

On mathcurve.com as Lemniscate de Gerono

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