Difference between revisions of "1964 IMO Problems/Problem 6"
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Revision as of 19:36, 15 July 2009
Problem
In tetrahedron , vertex is connected with , the centrod of . Lines parallel to are drawn through and . These lines intersect the planes and in points and , respectively. Prove that the volume of is one third the volume of . Is the result true if point is selected anywhere within