The Parallel Theorem If L is a line in affine geometry and P is a point not on L, then there is a unique line through P not meeting L. Proof
We can regard z =1 as the affine plane. Each point P or line L on this arises
Suppose that M* is a pline intersecting z=1. Then M* meets L* in a unique
Reverting to the affine plane, M is the unique line through P which does not

