Difference between revisions of "1965 IMO Problems/Problem 6"
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Revision as of 11:45, 16 July 2009
Problem
In a plane a set of points () is given. Each pair of points is connected by a segment. Let be the length of the longest of these segments. We define a diameter of the set to be any connecting segment of length . Prove that the number of diameters of the given set is at most .
Solution
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