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In geometry, the bicorn, also known as a cocked hat curve due to its resemblance to a bicorne, is a rational quartic curve defined by the equation

For the hat, see Bicorne.
For the mythical beast, see Bicorn and Chichevache.
Bicorn

In geometry, the bicorn, also known as a cocked hat curve due to its resemblance to a bicorne, is a rational quartic curve defined by the equation

${\displaystyle y^{2}(a^{2}-x^{2})=(x^{2}+2ay-a^{2})^{2}.}$

It has two cusps and is symmetric about the y-axis.