This
plane algebraic curve was studied by
Exodus some time around 400 BC. Exodus, who was part
of
Plato's school, was interested in this
curve in connection with
doubling the cube, one of
the three geometric problems of antiquity.
An equation for the curve is a2x4=b4(x2 + y2)
, for some constant real numbers a,b.
Historical info sourced from http://www-groups.dcs.st-andrews.ac.uk/~history