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Given two points, ... and ... (the foci), an ellipse is the locus of points ... such that the sum of the distances from ... to ... and to ... is a constant. A hyperbola is the locus of points ... such that the absolute value of the difference between the distances from ... to ... and to ... is a constant. An oval of Cassini is the locus of points ... such that the product of the distances from ... to ... and to ... is a constant ( ... here). A parabola is the locus of points ... such that the distance from ... to a point ... (the focus) is equal to the distance from ... to a line ... (the directrix). This Demonstration illustrates those definitions by letting you move a point along the figure and watch the relevant distances change.

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      EUN,LOM,LRE4,work-cmr-id:262092,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/LocusOfPointsDefinitionOfAnEllipseHyperbolaParabolaAndOvalOf/,ilox,learning resource exchange,LRE metadata application profile,LRE

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