![](http://upload.wikimedia.org/wikipedia/commons/thumb/4/41/Cochleoid_with_a%3D1.svg/280px-Cochleoid_with_a%3D1.svg.png)
![](http://upload.wikimedia.org/wikipedia/commons/thumb/c/ca/Kochleoide_als_inverse_zur_quadratrix.svg/280px-Kochleoide_als_inverse_zur_quadratrix.svg.png)
In geometry, a cochleoid is a snail-shaped curve similar to a strophoid which can be represented by the polar equation
or the parametric equations
The cochleoid is the inverse curve of Hippias' quadratrix.[1]
Notes
References
- J. Dennis Lawrence (1972). A catalog of special plane curves. Dover Publications. p. 192. ISBN 0-486-60288-5.
- 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, ISSN 1844-640X
- 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
- Weisstein, Eric W. "Cochleoid". MathWorld.