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Hypocycloid Involute

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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 Resource. https://mathworld.wolfram.com/HypocycloidInvolute.html

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