did parallel lines meet together?

Question

i think parallel lines meet together at infinity, isn't true

Answer 1

In "Cartesian" geometry (geometry on a flat surface), two parallel lines never meet. However this was a sticking point in mathematics for a long time. Some mathematicians thought that this was a basic premise of math; others thought it could be proven from other geometric axioms.



Then someone came along and asked, "What if two parallel lines DID meet? Would that create a contradiction?" And not only did he find that no contradiction was created - he invented the entire field of non-Cartesian geometry.



You see - whether two parallel lines meet depends on the shape of the SPACE. If you're on a sphere, two parallel lines always meet in exactly two places (two great circles). In other spaces parallel lines can meet many times.

Answer 2

Two lines are said to be parallel when they maintain equal distance from each other at any point on either line.



You think that they meet at infinity because you are assuming the definition as two lines with 0 (zero) degree angle between them.



Even though both the definitions are right; if you look at the first definition, you will understand that they never meet and if they do, they are not parallel lines.

Answer 3

No, parallel lines will extend to infinity and never meet.

There was one time when two of then met under the bleachers but they got caught. oops.

Answer 4

no.. parallel lines never meet, even at infinity because the distance between two parallel lines always remains constant.

Answer 5

Parallel lines constantly run at the same pace exactly the same length apart from each other, and basing it off of Einsteins string theory, since physically everything is infinite, they would never touch. Very Simple.

Answer 6

No they never meet each other.

Answer 7

Never> they never meet.