The evolute of the nephroid given by
 |  | ![1/2[3cost-cos(3t)]](/images/equations/NephroidEvolute/Inline3.svg) |
(1)
|
 |  | ![1/2[3sint-sin(3t)]](/images/equations/NephroidEvolute/Inline6.svg) |
(2)
|
is given by
 |  |  |
(3)
|
 |  | ![1/4[3sint+sin(3t)],](/images/equations/NephroidEvolute/Inline12.svg) |
(4)
|
which is another nephroid.
Nephroid Evolute
See also
Evolute, Nephroid, Nephroid InvoluteExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Nephroid Evolute." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NephroidEvolute.html