The playfair axiom states that In a plane, given a line and a point not on it, at most one line parallel to the given line can be drawn through the point.

In geometry,Playfair's axiomis anaxiomthat can be used instead of the fifth postulate of Euclid (the parallel postulate): In a plane, given a line and a point not on it, at most one line parallel to the given line can be drawn through the point.

Euclid's axiom (Euclid's Elements, Book I, Postulate 5): ... Image from Wikipedia Parallel postulate. ... How do we know if what we accept as axioms in mathematics are really axioms and not theorems provable from some unknown better axioms?

Euclid axiom lmage from Wikipedia parallel postulate how do we know if what we accept an axioms in mathematics are really axioms and not theorems probable from unknown better axioms

In geometry,Playfair's axiomis anaxiomthat can be used instead of the fifth postulate of Euclid (the parallel postulate): In a plane, given a line and a point not on it, at most one line parallel to the given line can be drawn through the point.

In geometry,Playfair's axiomis anaxiomthat can be used instead of the fifth postulate of Euclid (the parallel postulate): In a plane, given a line and a point not on it, at most one line parallel to the given line can be drawn through the point.