The Plateau curves were studied by the Belgian physicist and mathematician Joseph Plateau. They have Cartesian equation
where 
.
If 
, the Plateau curves degenerate to
which is a circle with center 
and radius 
.
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References
MacTutor History of Mathematics Archive. "Plateau Curves." http://www-groups.dcs.st-and.ac.uk/~history/Curves/Plateau.html.Referenced
on Wolfram|Alpha
Plateau Curves
Cite this as:
Weisstein, Eric W. "Plateau Curves." From
MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PlateauCurves.html
Subject classifications
![(asin[(m+n)t])/(sin[(m-n)t])](/images/equations/PlateauCurves/Inline3.svg)
![(2asin(mt)sin(nt))/(sin[(m-n)t]),](/images/equations/PlateauCurves/Inline6.svg)
![a[1+2cos(2nt)]](/images/equations/PlateauCurves/Inline11.svg)
