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Cissoid


Given two curves C_1 and C_2 and a fixed point O, let a line from O cut C_1 at Q and C_2 at R. Then the locus of a point P such that OP=QR is the cissoid. The word cissoid means "ivy shaped."


See also

Cissoid of Diocles

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References

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

Referenced on Wolfram|Alpha

Cissoid

Cite this as:

Weisstein, Eric W. "Cissoid." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Cissoid.html

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