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(1)
|
 |  |  |
(2)
|
is given by
 |  |  |
(3)
|
 |  |  |
(4)
|
As can be seen in the above figure, the involute is simply a shifted copy of the original cycloid, so the cycloid is its own involute!
Cycloid Involute
See also
Cycloid, Cycloid Evolute, InvoluteExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Cycloid Involute." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/CycloidInvolute.html