Question

Why is axiom 5 , in the list of euclid's axioms, consdered a 'universal truth'

pls pls fast

Answer 1

Hy mate here is your answer
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according to Axiom 5 , the whole is greater than the part .

explanation with example of an Apple
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we cut Apple into parts and and we take another same size Apple which is not cut by us is bigger or greater than the another Apple which is in small parts
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Another example is
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we take PR is the part of the line segment PQ and R lies in it's interior so PR is smaller than PQ.

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hope it's helpful for you dear

Answer 2

5th axiom : THE WHOLE IS ALWAYS GREATER THAN ITS PART

It's the UNIVERSAL TRUTH because it was proved in all cases

The main thing required to prove is when a bigger number is subtracted from a smaller number . The result is always LESSER THAN 0

Now

We shall try to prove it by taking a whole of 3 and a part 1/3

When subtracting 1/3 from 3
3-1/3
=8/3
therefore it is GREATER THAN 0

HENCE PROVED

HOPE IT HELPS pls mark this answer as a brainlist answer