State play fair' s axiom
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Playfair's axiom:
Given a line L a point P not on L, both in a plane, there exists a unique line M in that plane that passes through P but does not intersect L(that is, is parallel to L).
Euclid's axiom
Given two lines L and M, and another line Nthat intersects both, all in a plane, if the sum of the interior angles that N makes on one side with L and M is less that two right angles (i.e., 180°), then L and M intersect on that side of N.
Given a line L a point P not on L, both in a plane, there exists a unique line M in that plane that passes through P but does not intersect L(that is, is parallel to L).
Euclid's axiom
Given two lines L and M, and another line Nthat intersects both, all in a plane, if the sum of the interior angles that N makes on one side with L and M is less that two right angles (i.e., 180°), then L and M intersect on that side of N.
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