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Cassinian oval

Oval O"val, n. A body or figure in the shape of an egg, or popularly, of an ellipse. 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.

Oval O"val, n. A body or figure in the shape of an egg, or popularly, of an ellipse. 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.

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