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Q.

Attempts to prove Euclid's fifth postulate using the other postulates and axioms led to the discovery of several other geometries.


 

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a

True

b

False

answer is A.

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Detailed Solution

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 Euclid was a Greek mathematician known as the "Father of Geometry." Euclid stated the fifth postulate without proving it, and numerous attempts to prove it failed. According to Euclid's fifth postulate, "if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the two straight lines will meet on that side on which the angles are less than two right angles if produced indefinitely."

Attempts to prove Euclid's fifth postulate using the other postulates and axioms resulted in the discovery of a number of new geometries. It is a significant accomplishment in the creation of several other geometries. These geometries are distinct from Euclidean geometry and are referred to as non-Euclidean geometry. As a result, the given statement is True.


 

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