Cochleoid - Alchetron, The Free Social Encyclopedia

A cochleoid is a snail-shaped curve similar to a strophoid which can be represented by the polar equation

r = a sin ⁡ θ θ

the Cartesian equation

( x 2 + y 2 ) arctan ⁡ y x = a y

or the parametric equations

x = a sin ⁡ t cos ⁡ t t , y = a sin 2 ⁡ t t .

References

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