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IMO 1959–1966 - Longlisted Problems (individual years unknown) Question 16

IMO Shortlist · IMO 1959–1966 - Longlisted Problems (individual years unknown)

Question 16

(CZS) We are given a circle $K$ with center $S$ and radius $1$ and a square $Q$ with center $M$ and side $2$. Let $XY$ be the hypotenuse of an isosceles right triangle $XYZ$. Describe the locus of points $Z$ as $X$ varies along $K$ and $Y$ varies along the boundary of $Q$.