Difference between revisions of "1961 IMO Problems/Problem 4"
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Revision as of 10:33, 12 October 2007
Problem
In the interior of triangle 
a point P is given. Let 
be the intersections of 
with the opposing edges of triangle . Prove that among the ratios 
there exists one not larger than 2 and one not smaller than 2.
Solution
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