A New Definition of Parallelism
John-Erik Persson
The fifth postulate of Euclid, the parallel postulate, was formulated in 300 B C, and is still not proved as a theorem although many have tried to do that. The reason for this is NOT to be found in tha postulate per se but in the definition of paralletism. The most common definition states that PARALLEL LINES NEVER MEET. It will be demonstrated here that why this definition is WRONG and why parallelism is hard to define.
