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
