| 释义 |
Cayley's SexticA plane curve discovered by Maclaurin but first studied in detail by Cayley.  The name Cayley's sextic is dueto R. C. Archibald, who attempted to classify curves in a paper published in Strasbourg in 1900 (MacTutor Archive).Cayley's sextic is given in Polar Coordinates by
 | (1) |
 | (2) |
 . In the latter case, the Cartesian equation is
 | (3) |
The Arc Length, Curvature, and Tangential Angle are
References
Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, pp. 178 and 180, 1972.MacTutor History of Mathematics Archive. ``Cayley's Sextic.''http://www-groups.dcs.st-and.ac.uk/~history/Curves/Cayleys.html.
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