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Curves

Cochleoid

Main
Polar equation:
r=asin⁡(θ)/θr = a \sin( \theta )/ \theta

View the interactive version of this curve.

Description

The name means the snail-form curve. It was discussed by J Peck in 1700. The form given here is due to a Belgium Joseph Neuberg. The name originated in 1884 with writers Benthan and Falkenburg.

The points of contact of parallel tangents to the cochleoid lie on a strophoid.

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