In: Advanced Math
ASSUME THE HYPERBOLIC PARALLEL POSTULATE. SHOW AS COMPLETE ARGUMENTS AS POSSIBLE AND INDICATE ALL STEPS OF REASONING. DIAGRAMS SHOULD ILLUSTRATE ALL ARGUMENTS, BUT REMEMBER THAT DIAGRAMS BY THEMSELVES DO NOT CONSTITUTE PROOFS.
Let l be a line and let P be a point not on l.
Prove that there exists a line m through P such that m is parallel to l but l and m do not admit a common perpendicular