Cassinian oval
Oval O"val, n. A body or figure in the shape of an egg, or popularly, of an ellipse. [1913 Webster]

{Cassinian oval} (Geom.), the locus of a point the product of whose distances from two fixed points is constant; -- so called from Cassini, who first investigated the curve. Thus, in the diagram, if P moves so that P A.P B is constant, the point P describes a Cassinian oval. The locus may consist of a single closed line, as shown by the dotted line, or of two equal ovals about the points A and B. [1913 Webster] [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • Oval — O val, n. A body or figure in the shape of an egg, or popularly, of an ellipse. [1913 Webster] {Cassinian oval} (Geom.), the locus of a point the product of whose distances from two fixed points is constant; so called from Cassini, who first… …   The Collaborative International Dictionary of English

  • Cassinian ovals — Cas*sin i*an o vals (Math.) See under {Oval}. [1913 Webster] …   The Collaborative International Dictionary of English

  • Cassini oval — Some Cassini ovals. (b=0.6a, 0.8a, a, 1.2a, 1.4a, 1.6a) A Cassini oval is a plane curve defined as the set (or locus) of points in the plane such that the product of the distances to two fixed points …   Wikipedia

  • Polynomial lemniscate — In mathematics, a polynomial lemniscate or polynomial level curve is a plane algebraic curve of degree 2n, constructed from a polynomial p with complex coefficients of degree n.For any such polynomial p and positive real number c, we may define a …   Wikipedia

  • cassinoid — Geom. (ˈkæsɪnɔɪd) [a. F. cassinoide: see cassinian and oid.] A curve which Cassini wished to substitute for the ellipse, in explanation of the planetary movements: an oval having two foci, such that the product of the focal radii of any point on… …   Useful english dictionary

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