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Cardioid Involute

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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.

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