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You may generate all ellipses by having a loop of string with a pair of loci within the loop. Tracing the possible triangles (formed by the taut string) will give you an ellipse. Altering the length of the string and the spacing of the loci will generate all ellipses.

Of course, with access to all the x,y, plots of the ellipse, a check may easily be made as to its perfection.

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14y ago

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Q: How would you check correctness of an ellipse?
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