Frequency Curve

Cartesian equation: y = (2’)^1^/^2exp(-x^2/2)

Click below to see one of the 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
This curve, the normal curve of error, originated with de Moivre in 1733. It was also studied with Laplace and Gauss.

The name frequency curve also applies to a great variety of other curves.

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JOC/EFR February 1996