Question

state two equivalent version of Euclid's fifth postulate ​

Answer 1

Answer:

(1)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’.

(2)Two distinct intersecting lines cannot be parallel to the same line.

Answer 2

Answer:

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.