Definition:Parallel (Geometry)/Planes

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Two planes are parallel if and only if, when produced indefinitely, do not intersect at any point.

In the words of Euclid:

Parallel planes are those which do not meet.

(The Elements: Book $\text{XI}$: Definition $8$)

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

Also see

  • Results about parallel planes can be found here.