Frequency Curve

Cartesian equation:
y = √(2π) exp(-x2/2)


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

Click THIS LINK to experiment interactively with this curve and its associated curves.

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/BS January 1997

The URL of this page is:
http://www-history.mcs.st-andrews.ac.uk/Curves/Frequency.html