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Curves

Pear-shaped Quartic

Main
Cartesian equation:
b2y2=x3(a−x)b^{2}y^{2} = x^{3}(a-x)

View the interactive version of this curve.

Description

This curve was studied by G de Longchamps in 1886.

G de Longchamps has several other curves named after him.

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