(** This development is inspired by The Foundations of Geometry and the Non-Euclidean Plane, by George E Martin, chapter 22 *)
Section Archimedes.
Context `{TnEQD:Tarski_neutral_dimensionless_with_decidable_point_equality}.

(** For every n, it is possible to get Bn and Cn *)
Lemma t22_24_aux1 : forall A B0 C0 E,
~ Col A B0 C0 -> Perp A C0 B0 C0 -> GradExp B0 C0 E ->
exists B C, GradExp2 A B0 B B0 C0 E /\ Perp A C0 B C /\ Col A C0 C.