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One definition is that it is the locus of a point such that the sum of its distances from two fixed points (the foci) is a constant.

There are several equivalent forms in coordinate geometry. Once the ellipse has been centred on the orign (using translations),

(x/a)2 + (y/b)2 = 1

or

x2 + (ey)2 = c2

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Q: What is the mathematical definition of an ellipse?
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