Question: 1. Prove that Hilbert's parallel axiom implies the following statement: If D is in the interior of Z A BC, there exist points G E

1. Prove that Hilbert's parallel axiom implies the following statement: If D is in the interior of Z A BC, there exist points G E BA and F E BC such that F*D*G. (Hint: First construct a line parallel to A B through D and G? cuts BC at E (Why E exists?). Then choose a point F such that B*E*F. Show that DF cuts BA at G.) D B E F

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