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The statement given is equivalent to the parallel postulate, and thus is true in a Euclidean geometry. The statement is tautologically false in a non-Euclidean
by ajtulloch 12y ago
The statement given is equivalent to the parallel postulate, and thus is true in a Euclidean geometry. The statement is tautologically false in a non-Euclidean geometry.
http://en.wikipedia.org/wiki/Parallel_postulate http://en.wikipedia.org/wiki/Parallel_postulate
http://en.wikipedia.org/wiki/Non-Euclidean_geometry#History http://en.wikipedia.org/wiki/Non-Euclidean_geometry#History