Changes

[[Line]]s that are parallel must not intersect at any [[point]] and they must be [[coplanar]].

[[Line]]s that are '''parallel''' must not intersect at any [[point]] and they must be [[coplanar]].

Parallel lines are important in discussions of Euclidian [[geometry]].  A [[postulate]] of Euclidean geometry is that given a line and a point, there is exactly one line through the point parallel to the original line. Non-Euclidian geometries allow for infinite or no parallel numbers of lines.

Parallel lines are important in discussions of [[Euclidean geometry]].  A [[postulate]] of Euclidean geometry is that given a line and a point, there is exactly one line through the point parallel to the original line. [[Non-Euclidean geometries]] allow for an infinite number of or no parallel lines.

[[Image:parallellines.gif]]

[[Image:parallellines.gif]]

[[Category:geometry]]

[[Category:Geometry]]