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单词 Cissoid
释义

Cissoid

Given two curves and and a fixed point , let a line from cut at and at . Then theLocus of a point such that is the cissoid. The word cissoid means ``ivy shaped.''

Curve 1Curve 2PoleCissoid
LineParallel Lineany pointline
LineCirclecenterConchoid of Nicomedes
Circletangent lineon Circumferenceoblique cissoid
Circletangent lineon Circumference opp. tangentCissoid of Diocles
Circleradial lineon Circumferencestrophoid
Circleconcentric CirclecenterCircle
Circlesame CircleLemniscate

See also Cissoid of Diocles


References

Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, pp. 53-56 and 205, 1972.

Lee, X. ``Cissoid.''http://www.best.com/~xah/SpecialPlaneCurves_dir/Cissoid_dir/cissoid.html.

Lockwood, E. H. ``Cissoids.'' Ch. 15 in A Book of Curves. Cambridge, England: Cambridge University Press, pp. 130-133, 1967.

Yates, R. C. ``Cissoid.'' A Handbook on Curves and Their Properties. Ann Arbor, MI: J. W. Edwards, pp. 26-30, 1952.


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更新时间:2025/2/22 21:48:07