A B C D is a tetrahedron and O is any po...

`A B C D` is a tetrahedron and `O` is any point. If the lines joining `O` to the vertices meet the opposite faces at `P ,Q ,Ra n dS ,` prove that `(O P)/(A P)+(O Q)/(B Q)+(O R)/(C R)+(O S)/(D S)=1.`

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