Question

State two equivalent versions of fifth postulate

Answer 1

equivalent versions of Euclid�s fifth postulate

equivalent versions of Euclid�s fifth postulate

Two equivalent versions of Euclid�s fifth postulate are:
(i) �For every line l and for every point P not lying on l, there exists a unique line m
passing through P and parallel to l�.
(ii) Two distinct intersecting lines cannot be parallel to the same line.

Answer 2

If a straight line falling on two straight lines make the interior angle on the same side of it taken together less than two right angles, then then the two straight lines ,if produced indefinitely, meet on that side on which the sum of angles is less than two right angles.