Difference between revisions of "1965 IMO Problems/Problem 6"
(Created page with '== Problem == In a plane a set of <math>n</math> points (<math>n\geq 3</math>) is given. Each pair of points is connected by a segment. Let <math>d</math> be the length of the lo…')
Revision as of 11:45, 16 July 2009
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 .
This problem needs a solution. If you have a solution for it, please help us out by.