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### #ActualCornstalks

Posted 02 February 2012 - 10:09 AM

The question is when you have two finite horizontal lines lying on the same plane that never touch are they parallel?

Assuming you mean Parallel in Euclidien Geometry, you'll see that condition 2 requires that "Line m is on the same plane as line l but does not intersect l (even assuming that lines extend to infinity in either direction)." i.e. if you cannot extend the two lines infinitely in either direction and still hold this property, then they aren't parallel.

### #1Cornstalks

Posted 02 February 2012 - 10:08 AM

The question is when you have two finite horizontal lines lying on the same plane that never touch are they parallel?

Assuming you mean Parallel in Euclidien Geometry, you'll see that condition 2 of requires that "Line m is on the same plane as line l but does not intersect l (even assuming that lines extend to infinity in either direction)." i.e. if you cannot extend the two lines infinitely in either direction and still hold this property, then they aren't parallel.

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