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I was wondering how to find the equation of an ellipse with points that intersect a circle with the same center. I attempted to solve it using these following parameters: (a,b) , (c,d) , (e,f) , (g,h) are the intersection points r is the radius of a circle. Is there any way to solve this?

elipson_-1
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  • The title and the question don't match. –  May 21 '19 at 22:37
  • As Yves Daoust’s answer shows, this isn’t enough information to identify the ellipse. The problem is that you don’t have enough independent constraints: two sets of three points are colinear. – amd May 21 '19 at 23:26

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You can't. In the figure, the two ellipses have the same common points.

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