Section Book_1_part_5.
Context `{T2D:Tarski_2D}.
Context `{TE:@Tarski_euclidean Tn TnEQD}.
(** * Proposition 32 In any triangle, if one of the sides be produced, the exterior angle is equal to the two interior and opposite angles, and the three interior angles of the triangle are equal to two right angles. *)
(** # <div style="width:748px;height:397px;display:block" id="applet_container32"></div> # **)

(* Specifications: *)
Lemma prop_32_1 : forall A B C D E F, TriSumA A B C D E F -> Bet D E F.
Lemma prop_32_2 : forall A B C D, A <> B -> B <> C -> A <> C -> Bet B C D -> C <> D ->
SumA C A B A B C A C D.