Prove that the following statements are logically equivalent:

(1) Hilbert's Euclidean Parallel Postulate

(2) If k is parallel to l, m is perpendicular to k, and n is perpendicular to l, then either m = n or m is parallel to n.

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- Oct 28th 2010, 10:47 PMmathbugHilbert's Euclidean Parallel Postulate
Prove that the following statements are logically equivalent:

(1) Hilbert's Euclidean Parallel Postulate

(2) If k is parallel to l, m is perpendicular to k, and n is perpendicular to l, then either m = n or m is parallel to n.