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Cardioid Evolute

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CardioidEvolute

The evolute of the cardioid

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

is the curve

x_e=2/3a+1/3acostheta(1-costheta)
(3)
y_e=1/3asintheta(1-costheta),
(4)

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

See also

Cardioid, Cardioid Involute, Evolute

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Cite this as:

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

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