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Does Euclid's fifth postulate imply the existence of parallel lines? - Answers
Yes.According to Euclid's 5th postulate, when n line falls on l and m and if, producing line l and m further will meet in the side of ∠1 and ∠2 which is less thanIfThe lines l and m neither meet at the side of ∠1 and ∠2 nor at the side of ∠3 and ∠4. This means that the lines l and m will never intersect each other. Therefore, it can be said that the lines are parallel.
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Does Euclid's fifth postulate imply the existence of parallel lines? - Answers
Yes.According to Euclid's 5th postulate, when n line falls on l and m and if, producing line l and m further will meet in the side of ∠1 and ∠2 which is less thanIfThe lines l and m neither meet at the side of ∠1 and ∠2 nor at the side of ∠3 and ∠4. This means that the lines l and m will never intersect each other. Therefore, it can be said that the lines are parallel.
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Does Euclid's fifth postulate imply the existence of parallel lines? - Answers
Yes.According to Euclid's 5th postulate, when n line falls on l and m and if, producing line l and m further will meet in the side of ∠1 and ∠2 which is less thanIfThe lines l and m neither meet at the side of ∠1 and ∠2 nor at the side of ∠3 and ∠4. This means that the lines l and m will never intersect each other. Therefore, it can be said that the lines are parallel.
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