Curves

Pear-shaped Quartic

Cartesian equation:: $b^{2}y^{2} = x^{3}(a-x)$

View the interactive version of this curve.

Description

This curve was studied by Wallis in 1685, Bonnet in 1844 and by G de Longchamps in 1886.

G de Longchamps has several other curves named after him.

Other Web site:

MathCurve

Associated Curves

Definitions of the Associated curves

Evolute

Involute 1

Involute 2

Inverse curve wrt origin

Inverse wrt another circle

Pedal curve wrt origin

Pedal wrt another point

Negative pedal curve wrt origin

Negative pedal wrt another point

Caustic wrt horizontal rays

Caustic curve wrt another point