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Prolate Cycloid Evolute

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ProlateCycloidEvolute

The evolute of the prolate cycloid

x=at-bsint

(1)

y=a-bcost

(2)

(with b>a) is given by

x=a[t+((bcost-a)sint)/(acost-b)]

(3)

y=(a(a-bcost)^2)/(b(acost-b)).

(4)

See also

Curtate Cycloid Evolute, Cycloid, Evolute, Prolate Cycloid

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Cite this as:

Weisstein, Eric W. "Prolate Cycloid Evolute." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ProlateCycloidEvolute.html

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