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Wikipedia / Cochleoid

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.

Notes

References

  • in the Encyclopedia of Mathematics

  • Liliana Luca, Iulian Popescu: . 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)