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单词 Piriform
释义

Piriform

A plane curve also called the Peg Top and given by the Cartesian equation

(1)

and the parametric curves
(2)
(3)

for . It was studied by G. de Longchamps in 1886. The generalization to a Quartic 3-Dsurface
(4)

is shown below (Nordstrand).

See also Butterfly Curve, Dumbbell Curve, Eight Curve, Heart Surface, Pear Curve


References

Cundy, H. and Rollett, A. Mathematical Models, 3rd ed. Stradbroke, England: Tarquin Pub. p. 71, 1989.

Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, pp. 148-150, 1972.

Nordstrand, T. ``Surfaces.'' http://www.uib.no/people/nfytn/surfaces.htm.


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