hi.
you know when 2 lines are parallel,they have an equal distance in each part, from begining to end(this 'end' maybe be in the extreme!).so, why in the infinity(extreme) the distance decrease to Zero?!
2007-10-26 19:59:58 · 5 answers · asked by paymanvr 1 in Science & Mathematics ➔ Mathematics
In Euclidean geometry, the parallel lines will never cross. Later geometry, specifically Riemannian geometry showed that spacetime is curved... so, two parallel lines will eventually cross and then diverge again. This is due to the realization that the universe is expanding in the 4th dimension and that we are trapped on the 3 dimensional surface of that 4 dimensional hypersphere.
2007-10-26 20:14:08 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Because no one know where is the end (infinity) => no way to measure
2007-10-26 20:06:29 · answer #2 · answered by namvt2000 6 · 0⤊ 1⤋
in visual drawing . . or in perspective
parallel lines will meet in horizon
just like the rails of train
2007-10-26 20:17:03 · answer #3 · answered by CPUcate 6 · 0⤊ 1⤋
In Euclidean geometry they don't join.
2007-10-26 20:09:28 · answer #4 · answered by Northstar 7 · 0⤊ 0⤋
well.. the line that are parallel, might be the same line.. soo they overlap and will have infinite solutions..
2007-10-26 20:05:13 · answer #5 · answered by harvs 2 · 0⤊ 1⤋