Difference between revisions of "Parallel"
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| − | [[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 | + | 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]] | ||
Revision as of 02:02, January 16, 2009
Lines that are parallel must not intersect at any point and they must be coplanar.
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.
