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Mathematics, 17.07.2020 01:01 ZaNiyahlove4711

Let $A$ and $B$ be points, and let $C$ be a point that varies on the open semicircle with diameter $AB$. Construct squares externally on sides $AC$ and $BC$, and let $D$ and $E$ be the centers of these squares, respectively. Find the locus of the midpoint $M$ of $DE$.

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