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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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Question

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

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is True.

Explanation:

All attempts to prove the fifth postulate as a theorem led to a great achievement in the creation of several other geometries. These geometries are quite different from Euclidean geometry and called non-Euclidean geometry.

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Chapter 5: Introduction To Euclid's Geometry - Exercise 5.2 [Page 49]

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NCERT Exemplar Mathematics Exemplar [English] Class 9
Chapter 5 Introduction To Euclid's Geometry
Exercise 5.2 | Q 9. | Page 49

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