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Cardioid Involute


CardioidInvolute

For the cardioid given parametrically as

x=a(1+cost)cost
(1)
y=a(1+cost)sint,
(2)

the involute is given by

x_i=2a+3acostheta(1-costheta)
(3)
y_i=3asintheta(1-costheta),
(4)

which is a mirror-image cardioid with a^'=3a.


See also

Cardioid, Cardioid Evolute, Involute

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Cite this as:

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

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