# Lorenz, Every single line through a point within an angle will meet at least one side of the angle.

Lorenz, Every single line through a point within an angle will meet at least one side of the angle.
I know I have to Show that the parallel postulate 5 implies lorenz, and then lorenz implies parallel postulate 5.
Assume postulate 5 . So we are given AB and a point C not on AB. Choose B on AB draw CD to construct angle ECD= angle BDC.
I just don't get what Lorenz postulate means. Thats where I am getting stuck.
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Aaron Everett
HINT Suppose Lorenz Postulate is false in the Presence of the 5th postulate and reach a contradiction.
Suppose Lorenz Postulate is true and the 5th Postulate is false and reach a contradiction.