WRITE EUCLIDS FIFTH POSTULATE ? DOES IT IMPLIES THE EXISTENCE OF PARALLEL LINES ?
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If a straight line falling on two straight lines makes the interior on the same side of it taken together less than two right angles, then the two straight line, if produced indefinitely, meet on that side on which the sum of angles is less than two right angles.
Yes, It is implied the existence of parallel lines..
Yes, It is implied the existence of parallel lines..
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Euclid's fifth postulate is imply for parallelism of lines because if a straight line l falls on two straight lines m and n such that sum of the interior angles on one side of l is two right angles, then by Euclid's fifth postulate the line will not meet on this side of l.
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