fact: Definition weak_triangle_circumscription_principle := forall A B C A1 A2 B1 B2, ~ Col A B C -> Per A C B -> Perp_bisect A1 A2 B C -> Perp_bisect B1 B2 A C -> Coplanar A B C A1 -> Coplanar A B C A2 -> Coplanar A B C B1 -> Coplanar A B C B2 -> exists I, Col A1 A2 I /\ Col B1 B2 I.
imports: GeoCoq.Tarski_dev.Definitions