write the equivalent version of euclid's fifth postulate
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There are several equivalent versions of the fifth postulate of Euclid. One such version is stated as "Playfair's Axiom" which was given by Scotish mathematician John Play Fair in 1929 and was named as "Play Fair's Axiom".
Playfair's Axiom (Axiom for Parallel Lines)
For every line  and for every point P not lying on , there exists a unique line m passing

through P and parallel to .
Another version of the above axiom is as stated below : Two disinct intersecting lines cannot be parallel to the same line. In figure, there are infinitely many straight line through P but there is exactly one line m which is parallel to . Thus, two intersecting lines cannot be parallel to the same line.
Playfair's Axiom (Axiom for Parallel Lines)
For every line  and for every point P not lying on , there exists a unique line m passing

through P and parallel to .
Another version of the above axiom is as stated below : Two disinct intersecting lines cannot be parallel to the same line. In figure, there are infinitely many straight line through P but there is exactly one line m which is parallel to . Thus, two intersecting lines cannot be parallel to the same line.
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your answer is here
'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'.
I hope it helps_
'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'.
I hope it helps_
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