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Hypocycloid Involute


HypocycloidInvolute

The hypocycloid

x=a/(a-2b)[(a-b)cosphi-bcos((a-b)/bphi)]
(1)
y=a/(a-2b)[(a-b)sinphi+bsin((a-b)/bphi)]
(2)

has involute

x=(a-2b)/a[(a-b)cosphi+bcos((a-b)/bphi)]
(3)
y=(a-2b)/a[(a-b)sinphi-bsin((a-b)/bphi)],
(4)

which is another hypocycloid.


See also

Evolute, Hypocycloid, Hypocycloid Evolute

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Cite this as:

Weisstein, Eric W. "Hypocycloid Involute." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HypocycloidInvolute.html

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