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Does any convex quadrilateral have circumscribed ellipses?

Jia Hui LiZhuo Qun WangYi Xi ShenZhong Yuan Dai — 2017

Open Mathematics

The past decades have witnessed several well-known beautiful conclusions on four con-cyclic points. With highly promising research value, we profoundly studied circumscribed ellipses of convex quadrilaterals in this paper. Using tools of parallel projective transformation and analytic geometry, we derived several theorems including the proof of the existence of circumscribed ellipses of convex quadrilaterals, the properties of its minimal coverage area, and locus center, respectively. This simple...

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