The hypocycloid
 |  | ![a/(a-2b)[(a-b)cosphi-bcos((a-b)/bphi)]](/images/equations/HypocycloidInvolute/Inline3.svg) |
(1)
|
 |  | ![a/(a-2b)[(a-b)sinphi+bsin((a-b)/bphi)]](/images/equations/HypocycloidInvolute/Inline6.svg) |
(2)
|
has involute
 |  | ![(a-2b)/a[(a-b)cosphi+bcos((a-b)/bphi)]](/images/equations/HypocycloidInvolute/Inline9.svg) |
(3)
|
 |  | ![(a-2b)/a[(a-b)sinphi-bsin((a-b)/bphi)],](/images/equations/HypocycloidInvolute/Inline12.svg) |
(4)
|
which is another hypocycloid.
Hypocycloid Involute
See also
Evolute, Hypocycloid, Hypocycloid EvoluteExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Hypocycloid Involute." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HypocycloidInvolute.html