Prolate Cycloid Evolute
ProlateCycloidEvolute
The evolute of the prolate cycloid
x = at-bsint
(1)
y = a-bcost
(2)
(with b>a) is given by
x = [画像:a[t+((bcost-a)sint)/(acost-b)]]
![画像:a[t+((bcost-a)sint)/(acost-b)]](/index.cgi/contrast/https://mathworld.wolfram.com/images/equations/ProlateCycloidEvolute/Inline10.svg){kind=link}
(3)
y = [画像:(a(a-bcost)^2)/(b(acost-b)).]
(4)
See also
Curtate Cycloid Evolute, Cycloid, Evolute, Prolate CycloidExplore with Wolfram|Alpha
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Cite this as:
Weisstein, Eric W. "Prolate Cycloid Evolute." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ProlateCycloidEvolute.html