IMO Shortlist 1966 problem 16


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2. travnja 2012.
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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 XY Z. Describe the locus of points Z as X varies along K and Y varies along the boundary of Q.
Izvor: Međunarodna matematička olimpijada, shortlist 1966