Category:Parallel Lines

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This category contains results about Parallel Lines.
Definitions specific to this category can be found in Definitions/Parallel Lines.

In the words of Euclid:

Parallel straight lines are straight lines which, being in the same plane and being produced indefinitely in either direction, do not meet one another in either direction.

(The Elements: Book $\text{I}$: Definition $23$)

The contemporary interpretation of the concept of parallelism declares that a straight line is parallel to itself.