Parallel Lines

Parallel Lines

Coplanar lines that share all of their points or none of their points.


  • The parallel relationship between the lines in the geometric space is reflexive, symmetric and transitive.
  • The distance between two parallel lines is constant.
  • A parallel relationship is an equivalence relationship, as it is reflexive, symmetric and transitive.


droites paralleles

Historical note

The symbol for parallel lines (//) was first used by William Oughtred (1574-1660) in his work Opuscula Mathematica Hactenus Inedita, which was published posthumously in 1677.

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