Parallel lines are everywhere equidistant. This postulate is equivalent to the parallel postulate.
Equidistance Postulate
See also
Parallel PostulateExplore with Wolfram|Alpha
References
Dunham, W. "Hippocrates' Quadrature of the Lune." Ch. 1 in Journey through Genius: The Great Theorems of Mathematics. New York: Wiley, p. 54, 1990.Referenced on Wolfram|Alpha
Equidistance PostulateCite this as:
Weisstein, Eric W. "Equidistance Postulate." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/EquidistancePostulate.html