Difference between revisions of "Parallel"
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| − | [[Line]]s that are parallel | + | [[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 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. | ||
Revision as of 23:58, October 25, 2007
Lines 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.