Difference between revisions of "1964 IMO Problems/Problem 6"
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Revision as of 11:39, 16 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
Solution
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