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IMO Shortlist 1973 problem 2

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Dodao/la: arhiva
April 2, 2012

1973 geo kružnica shortlist

Given a circle , find the locus of vertices of parallelograms with diagonals , such that is inside .

%V0 Given a circle $K$, find the locus of vertices $A$ of parallelograms $ABCD$ with diagonals $AC \leq BD$, such that $BD$ is inside $K$.