Bicorn with a = 1.
A bicorn, also known as the cocked-hat, is any of a collection of quartic curves studied by James Sylvester in 1864 and by Arthur Cayley in 1867. The bicorn has the Cartesian equation
y 2(a 2 – x 2) = (x 2 + 2ay – a)2
PLANE CURVES
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