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Cycloid Involute


CycloidInvolute

The involute of the cycloid

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, Involute

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Cite this as:

Weisstein, Eric W. "Cycloid Involute." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CycloidInvolute.html

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