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Epicycloid Evolute

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Epicycle evolute animation

The evolute of the epicycloid

x=(a+b)cost-bcos[((a+b)/b)t]
(1)
y=(a+b)sint-bsin[((a+b)/b)t]
(2)

is another epicycloid given by

x=a/(a+2b){(a+b)cost+bcos[((a+b)/b)t]}
(3)
y=a/(a+2b){(a+b)sint+bsin[((a+b)/b)t]}.
(4)

See also

Epicycloid, Epicycloid Involute, Evolute

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Cite this as:

Weisstein, Eric W. "Epicycloid Evolute." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/EpicycloidEvolute.html

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