Question

27) Which of these statements do not satisfy Euclid's axiom?
a. Things which are equal to the same thing are equal to one
another
b. If equals are added to equals, the wholes are equal
c. If equals are subtracted from equals, the remainders are equal.
d. The whole is lesser than the part​

Answer 1

Answer:

d. The whole is lesser than the part.

This statement is wrong.

Answer 2

Answer:

Option 'd' do not satisfy the Euclid's axioms.

Step-by-step explanation:

Euclid has adapted the universal truths to describe certain properties in mathematics.

They are called Euclid's postulates that are specifically used in geometry and Euclid's axioms used throughout mathematics.

Some of the Euclid’s axioms are

(1) Things which are equal to the same thing are equal to one another.

(2) If equals are added to equals, the wholes are equal.

(3) If equals are subtracted from equals, the remainders are equal.

(4) The whole is greater than the part.

(6) Things which are double of the same things are equal to one another.

(7) Things which are halves of the same things are equal to one another.

So, in the options given, option d do not satisfy the Euclid's axioms.

Actually, the whole is always greater than the part.

Answer is d.

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