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Let G1, G2a n dG3 be the centroids of th...

Let `G_1, G_2a n dG_3` be the centroids of the triangular faces `O B C ,O C Aa n dO A B ,` respectively, of a tetrahedron `O A B Cdot` If `V_1` denotes the volumes of the tetrahedron `O A B Ca n dV_2` that of the parallelepiped with `O G_1,O G_2a n dO G_3` as three concurrent edges, then prove that `4V_1=9V_2dot`

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