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Locus of all vertices A of all parallelograms ABCD

Source: IMO LongList 1973 - P5

June 6, 2011
geometryparallelogramgeometry unsolved

Problem Statement

Given a ball KK. Find the locus of the vertices AA of all parallelograms ABCDABCD such that AC≤BD AC \leq BD, and the diagonal BDBD lies completely inside the ball KK.
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