Cycloid Involute
CycloidInvolute
x = a(t-sint)
(1)
y = a(1-cost)
(2)
is given by
x_i = a(t+sint)
(3)
y_i = a(3+cost).
(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!
See also
Cycloid, Cycloid Evolute, InvoluteExplore with Wolfram|Alpha
WolframAlpha
More things to try:
Cite this as:
Weisstein, Eric W. "Cycloid Involute." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/CycloidInvolute.html