## cochleoidA cochleoid is a spiral curve that was first studied by J. Peck in 1700 and Bernoulli in 1726. Its name, meaning "snail-form" (kochlias is Greek for "snail"), was coined by Benthan and Falkenburg in 1884. The cochleoid can be constructed as follows: given a point O and
the y-axis. For all circles through O (hence tangent to
the y-axis), place a constant distance on the circle. The collection
of these points is the cochleoid. In Cartesian coordinates, it is given
by the formulax^{ 2} + y^{ 2}) tan^{-1}(y/x)
= ay
and in polar coordinates by r = a sinθ / θ
The points of contact of parallel tangents to the cochleoid lie on a strophoid. ## Related category• PLANE CURVES | |||||

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