Give Two Equivalent Versions Of Euclid's Fifth Postulate!?
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(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.
passing through P and parallel to l’.
(ii) Two distinct intersecting lines cannot be parallel to the same line.
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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.
Step-by-step explanation:
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