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It is the locus of a point such that the sum of its distance from two (distinct) fixed points is a constant.
So, given two fixed points, F1 and F2, an ellipse is the locus of the point P such that PF1 + PF2 is a constant.
That would be an ellipsoid, a 3 dimensional thing. The 2 distances have to be measured in a fixed (2 dimensional) plane.
What else can I help you with?
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