Agnesi Curve

By Paul Bourke

January 2001

x = 2 tan(t)

y = 2 cos(t)2

-1.1 <= t <= 1.1

Parameterisation of x2 y = 4 (2 - y)

Studied in 1748 by Maria Gaetana Agnesi and earlier by Fermat around 1666 and Grandi in 1703. Agnesi called the curve "versiera".