Do Parallel lines always intersect

In Euclidean Geometry:

they never intersect
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they look like this thay go on and never touch.

In Non-Euclidean Geometry:

Naren BITS 18:36, 7 Jan 2009 (UTC)Naren BITS 18:36, 7 Jan 2009 (UTC)Naren BITS 18:36, 7 Jan 2009 (UTC)Naren BITS 18:36, 7 Jan 2009 (UTC)Naren BITS 18:36, 7 Jan 2009 (UTC)

They never intersect according to Euclid. But if u consider non-euclidean geometry, they do. (when the surfaces are uneven).