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Q.

What are ‘Euclid's axioms’?


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a

A part is always less than that of the total.

b

When equals are deducted from each other, the remainders are also equal.

c

Items that are equal to the same entity are also equivalent to one another.

d

All of the above 

answer is D.

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Detailed Solution

Euclid was a Greek mathematician who is referred as the ‘Father of Geometry’ and gave 7 important axioms that help in modern-day mathematics.
Euclid’s Axioms are,
       Items that are equal to the same entity are also equivalent to one another.
       When equals are deducted from each other, the remainders are also equal.
       When equal entities are added to each other then the total is also equal.
       Entities are equal to each other if they also coincide with one another.
       A part is always less than that of the total.
       If some items are double of the same entities then they are also equal to each other.
       If some items are half of the same entities then they are also equal to each other.
Therefore, all of the statements above are true.
Hence, option 4 is correct.
 
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