Nephroid Evolute
NephroidEvolute
The evolute of the nephroid given by
x = 1/2[3cost-cos(3t)]
(1)
y = 1/2[3sint-sin(3t)]
(2)
is given by
x = cos^3t
(3)
y = 1/4[3sint+sin(3t)],
(4)
which is another nephroid.
See also
Evolute, Nephroid, Nephroid InvoluteExplore with Wolfram|Alpha
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Cite this as:
Weisstein, Eric W. "Nephroid Evolute." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/NephroidEvolute.html