In geometry, a cochleoid is a snail-shaped curve similar to a strophoid which can be represented by the polar equation
the Cartesian equation
or the parametric equations
The cochleoid is the inverse curve of Hippias' quadratrix.Heinrich Wieleitner: Spezielle Ebene Kurven. Göschen, Leipzig, 1908, pp. 256-259 (German)
Notes
References
Cochleoid in the Encyclopedia of Mathematics Liliana Luca, Iulian Popescu: A Special Spiral: The Cochleoid. Fiabilitate si Durabilitate - Fiability & Durability no 1(7)/ 2011, Editura "Academica Brâncuşi", Târgu Jiu, Roscoe Woods: The Cochlioid. The American Mathematical Monthly, Vol. 31, No. 5 (May, 1924), pp. 222–227 (JSTOR) Howard Eves: A Graphometer. The Mathematics Teacher, Vol. 41, No. 7 (November 1948), pp. 311–313 (JSTOR)
External links
cochleoid at 2dcurves.com