Suppose have arbitrary ellipse with center $(x,y)$ and its radius $(a,b)$. I want obtain rectangle that sides tangent of peripheral ellipse. the below image describe issue :

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Welcome to Mathematics Stack Exchange! Take the short tour to see how how to get the most from your time here. For typesetting equations we use MathJax. – dantopa Jan 19 '19 at 05:29
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2Related: "The locus of two perpendicular tangents to a given ellipse". – Blue Jan 19 '19 at 05:37
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Also: Search Math.SE for "ellipse director" to find numerous questions and answers related to an ellipse's "director circle" (the locus of points where two perpendicular tangents meet). – Blue Jan 19 '19 at 07:17
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1See another answer of mine here. – Ng Chung Tak Jan 19 '19 at 09:12
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please give me more explanation to find my unknown values specified in image. – ali kiani Jan 19 '19 at 14:59
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i found this solution works fine. – ali kiani Jan 21 '19 at 05:27