Premium Online Home Tutors
3 Tutor System
Starting just at 265/hour

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.)


Answer :

According to axiom 5, we have 'The whole is greater than a part', which is a universal truth.

Let a line segment PQ = 8cm. Consider a point R in its interior, such that PR = 5cm.

Clearly, PR is a part of the line segment PQ and R lies in its interior.

Hence, PR is smaller than PQ.

image

Hence, the whole is greater than its part is proved.

NCERT solutions of related questions for Introduction to Euclidean Geometry

NCERT solutions of related chapters class 9 maths

NCERT solutions of related chapters class 9 science