Require Export GeoCoq.Elements.OriginalProofs.proposition_33.
Require Export GeoCoq.Elements.OriginalProofs.lemma_collinearparallel2.
Require Export GeoCoq.Elements.OriginalProofs.lemma_Playfair.
Section Euclid.
Context `{Ax:euclidean_euclidean}.

Lemma lemma_triangletoparallelogram :
forall A C D E F,
Par D C E F -> Col E F A ->
exists X, PG A X C D /\ Col E F X.