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单词 Cochleoid
释义

Cochleoid

The cochleoid, whose name means ``snail-form'' in Latin, was first discussed by J. Peck in 1700 (MacTutor Archive). The points of contact of Parallel Tangents to the cochleoid lie on a Strophoid.


In Polar Coordinates,

(1)

In Cartesian Coordinates,
(2)

The Curvature is
(3)

See also Quadratrix of Hippias


References

Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, pp. 192 and 196, 1972.

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


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