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(* Formalization of the Chou, Gao and Zhang's decision procedure.          *)
(* Julien Narboux (Julien@narboux.fr)                                      *)
(* LIX/INRIA FUTURS 2004-2006                                              *)
(* University of Strasbourg 2008                                           *)
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(* The line going through the midpoints is parallel to the third side *)

Theorem th6_40_Centroid :
forall A B C E F O : Point,
is_midpoint F A B ->
is_midpoint E B C ->
inter_ll O A E C F ->
O <> E ->
parallel A O O E ->
A ** O / O ** E = 2.