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