Question

The moment Ted heard the name 'Euclid'; he told that he has seen something like Euclid's axioms. Thanks to his habit of always peeking into the books for higher grades! Ted was able to recollect that Euclid gave some axioms. How many axioms did Euclid give?

• A. 2
• B. 3
• C. 4
• D. 5

Answer 1

The correct option is D 5

Euclid gave 5 axioms. All the other theorems in geometry are derived from those 5 axioms. Euclid's 5 axioms are:

1. Things which are equal to the same thing are also 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. Things which coincide with one another are equal to one another.

5. The whole is greater than the part.

All the other theorems in geometry are derived from those 5 axioms.