**Cartesian equation: **

*y*^{2}(*a*^{2} - *x*^{2}) = (*x*^{2} + 2*ay* - *a*^{2})^{2}

The bicorn (also called the

The particular bicorn given by Sylvester and Cayley is a different quartic from the one given here but this one, with a simpler formula, has essentially the same shape.

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JOC/EFR/BS January 1997

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