Difference between revisions of "2011 USAJMO Problems/Problem 3"
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Revision as of 16:17, 30 April 2011
Problem
For a point in the coordinate plane, let denote the line passing through with slope . Consider the set of triangles with vertices of the form , , , such that the intersections of the lines , , form an equilateral triangle . Find the locus of the center of as ranges over all such triangles.