Difference between revisions of "Parallel"

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[[Line]]s that are parallel do not intersect at any [[point]].
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[[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.

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