State whether the following statement is True | vedclass

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(A) The given statement is $True$. For centuries,mathematicians attempted to prove Euclid's fifth postulate (the parallel postulate) using his other f

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True

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(A) The given statement is $True$. For centuries,mathematicians attempted to prove Euclid's fifth postulate (the parallel postulate) using his other four postulates and axioms. These efforts were unsuccessful in proving it as a theorem,but they eventually led to the discovery of several other consistent systems of geometry,collectively known as non-Euclidean geometries,such as spherical geometry and hyperbolic geometry.

State whether the following statement is True or False. Justify your answer.
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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State whether the following statement is True or False. Justify your answer.Attempts to prove Euclid's fifth postulate using the other postulates and axioms led to the discovery of several other geometries.