The lemniscate $x^4-x^2+y^2=0$ was discussed in Gerono's <A HREF="https://archive.org/details/gomtrieanalytiq00gerogoog">Géométrie Analytique</A> from 1854, see screenshot, while Lissajous's "Mémoire sur l'étude optique des mouvements vibratoires" is from 1857.

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