What is euclid 5th postulate
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for Every line l and every point p not lying on l there exist a unique line m passing through p and parallel to l.
2 distinct intersecting line cannot be parallel to the same line.
2 distinct intersecting line cannot be parallel to the same line.
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Euclid's 5th postulate is:
If a straight line falling on two straight lines makes interior angles on the same side of it taken together less than two right angles ,then the two straight lines,if produced indefinitely,will meet on that side on which the angles taken together are less than two right angles.
Equivalent version of it is:
for every line L for every point P not lying on L, there exists a unique line M passing through P and parallel to L.
If a straight line falling on two straight lines makes interior angles on the same side of it taken together less than two right angles ,then the two straight lines,if produced indefinitely,will meet on that side on which the angles taken together are less than two right angles.
Equivalent version of it is:
for every line L for every point P not lying on L, there exists a unique line M passing through P and parallel to L.
Shreya01:
the equivalent version can also be defined as two intersecting lines cannot parallel to the same line.
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