Difference between revisions of "1964 IMO Problems/Problem 6"
(Created page with '== Problem == In tetrahedron <math>ABCD</math>, vertex <math>D</math> is connected with <math>D_0</math>, the centrod of <math>\triangle ABC</math>. Lines parallel to <math>DD_0<…')
Revision as of 19:36, 15 July 2009
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