**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.

JOC/EFR/BS January 1997

The URL of this page is:

http://www-history.mcs.st-andrews.ac.uk/Curves/Bicorn.html