A curve studied by the Greek mathematician Nicomedes in about 200 BC , also called the Cochloid. It is the Locus of points a fixed distance away from a line as measured along a line from the Focus point (MacTutor Archive). Nicomedes recognized the three distinct forms seen in this family. This curve was a favorite with 17th century mathematicians and could be used to solve the problems of Cube Duplication and Angle Trisection.

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**References**

Lawrence, J. D. *A Catalog of Special Plane Curves.* New York: Dover, pp. 135-139, 1972.

Lee, X. ``Conchoid of Nicomedes.'' http://www.best.com/~xah/SpecialPlaneCurves_dir/ConchoidOfNicomedes_dir/conchoidOfNicomedes.html.

MacTutor History of Mathematics Archive. ``Conchoid.'' http://www-groups.dcs.st-and.ac.uk/~history/Curves/Conchoid.html.

Pappas, T. ``Conchoid of Nicomedes.'' *The Joy of Mathematics.* San Carlos, CA: Wide World Publ./Tetra, pp. 94-95, 1989.

Yates, R. C. ``Conchoid.'' *A Handbook on Curves and Their Properties.* Ann Arbor, MI: J. W. Edwards, pp. 31-33, 1952.

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1999-05-26