**Parametric Cartesian equation: **

*x* = *a* sin(*m* + *n*)*t*/sin(*m* - *n*)*t*, *y* = 2*a* sin(*mt*)sin(*nt*)/sin(*m* - *n*)*t*

**Click below to see one of the Associated curves.**

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

This curve was studied by the Belgium physicist and mathematician Joseph Plateau.

If *m* = 2*n* the Plateau curves become a circle, centre (1, 0) and radius 2.

The particular curves drawn above are with the parameters *m* = 5, *n* = 3.

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JOC/EFR/BS January 1997

The URL of this page is:

http://www-history.mcs.st-andrews.ac.uk/Curves/Plateau.html