Question

What are the Euclid's axioms ?

Answer 1

1. First Axiom: Things which are equal to the same thing are also equal to one another.
2. Second Axiom: If equals are added to equals, the whole are equal.
3. Third Axiom: If equals be subtracted from equals, the remainders are equal.
4. Fourth Axiom: Things which coincide with one another are equal to one another.
5. Fifth Axiom: The whole is greater than the part.

Apart from this, we have the following postulates.

1. First Postulate: A straight line may be drawn from any one point to any other point.
2. Second Postulate: A terminated line can be produced indefinitely.
3. Third Postulate: A circle can be drawn with any center and and any radius.
4. Fourth Postulate: All right angles are equal to one another.
5. Fifth Postulate: If a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side of which are the angles less than the two right angles.