Thanks Gustavo!!!!
I am totally new here at wolfram, so I am no familiar with the notation, syntax, etc.
What I tried was the expresion:
solve (O-x)(N-x-y-z)=(A-x-y)(B-x-z) , (P-y)(N-x-y-z)=(A-x-y)(C-y-z), (Q-z)(N-x-y-z)=(B-x-z)*(C-y-z) for x ,y, z
Which, for what I read, is similar to yours changing the notation.
Nevertheless I tried yours, copy and paste, and still have no answer...
