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Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’? (Note that the question is not about the fifth postulate.) Q.7

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Today I am solving the ncert class 9th solution of chapter Introduction To Euclid’s Geometry.Find the best solution of exercise 5.1 question number 7, also find the simplest and easiest solution of this question.Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’? (Note that the question is not about the fifth postulate.)

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  1. Solution:

    Axiom 5: The whole is always greater than the part.

    For Example: A cake. When it is whole or complete, assume that it measures 2 pounds but when a part from it is taken out and measured, its weigh will be smaller than the previous measurement. So, the fifth axiom of Euclid is true for all the materials in the universe. Hence, Axiom 5, in the list of Euclid’s axioms, is considered a ‘universal truth.

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