states euclids 5th postulate
Answers
Euclid’s fifth postulate states, “If a straight line falls on a two straight lines in such a manner that the sum of the interior angles on one side is less than two right angles, then the straight lines, if produced indefinitely, meet on that side which are the angles less than two right angles.” In other words, there exists only one line that will never intersect another straight line. Figure below shows that when the interior angles are right angles, it produces two parallel lines.
Greatly different from Euclid’s other four postulates, the fifth postulate, also known as the “parallel postulate,” continues to baffle geometers seven hundred years after its formation. Unable to prove the fifth postulate, many geometers developed new forms of geometry that do not depend on the uncertain fifth postulate........
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ANSWER :-
Euclid's 5th postulate states that: If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is less than two right angles.
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