Epicycloid Involute
EpicycloidInvolute
The involute of the epicycloid
x = [画像:(a+b)cost-bcos[((a+b)/b)t]]
![画像:(a+b)cost-bcos[((a+b)/b)t]](/index.cgi/contrast/https://mathworld.wolfram.com/images/equations/EpicycloidInvolute/Inline3.svg){kind=link}
(1)
y = [画像:(a+b)sint-bsin[((a+b)/b)t]]
![画像:(a+b)sint-bsin[((a+b)/b)t]](/index.cgi/contrast/https://mathworld.wolfram.com/images/equations/EpicycloidInvolute/Inline6.svg){kind=link}
(2)
is another epicycloid given by
x = [画像:(a+2b)/a{(a+b)cost+bcos[((a+b)/b)t]}]
![画像:(a+2b)/a{(a+b)cost+bcos[((a+b)/b)t]}](/index.cgi/contrast/https://mathworld.wolfram.com/images/equations/EpicycloidInvolute/Inline9.svg){kind=link}
(3)
y = [画像:(a+2b)/a{(a+b)sint+bcos[((a+b)/b)t]}.]
![画像:(a+2b)/a{(a+b)sint+bcos[((a+b)/b)t]}.](/index.cgi/contrast/https://mathworld.wolfram.com/images/equations/EpicycloidInvolute/Inline12.svg){kind=link}
(4)
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Cite this as:
Weisstein, Eric W. "Epicycloid Involute." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/EpicycloidInvolute.html