How would you rewrite Euclid’s fifth postulate so that it would be easier to understand

1. How would you rewrite Euclid’s fifth postulate so that it would be easier to understand?

Solution.

There are several easy equivalent versions of Euclid's fifth postulate.

Two lines are said to be parallel if they are equidistant from one other and they do not have any point of intersection.

Then, by Play fair’s axiom (equivalent to the fifth postulate), there is a unique line m through P which is parallel to l.