Camille-Christophe Gerono [SEP] place of birth
Camille-Christophe Gerono
Camille-Christophe Gerono (1799 in Paris, France – 1891 in Paris) was a French mathematician. He concerned himself above all with geometry. The Lemniscate of Gerono or "figure-eight curve" was named after him. With Olry Terquem, he was founding co-editor in 1842 of the scientific journal "Nouvelles Annales de Mathématiques".
Lemniscate of Gerono
In algebraic geometry, the lemniscate of Gerono, or lemniscate of Huygens, or figure-eight curve, is a plane algebraic curve of degree four and genus zero and is a lemniscate curve shaped like an formula_1 symbol, or figure eight. It has equation
It was studied by Camille-Christophe Gerono.
Parameterization.
Because the curve is of genus zero, it can be parametrized by rational functions; one means of doing that is
Another representation is
which reveals that this lemniscate is