Question

euclid's axioms and postulates​

Answer 1

Answer:

Things which are equal to the same thing are also equal to one another. If equals be added to equals, the wholes are equal. If equals be subtracted from equals, the remainders are equal. Things which coincide with one another are equal to one another.

Answer 2

Answer:

Axioms:-

1. If equals are added to equals, the wholes are equal.
2. If equals are subtracted from equals, the remainders are equal.
3. Things that coincide with one another are equal to one another.
4. The whole is greater than the part.
5. Things that are double of the same things are equal to one another.

Postulates:-

1. A straight line segment may be drawn from any given point to any other.
2. A straight line may be extended to any finite length.
3. A circle may be described with any given point as its center and any distance as its radius.
4. All right angles are congruent.
5. If a straight line intersects two other straight lines, and so makes the two interior angles on one side of it together less than two right angles, then the other straight lines will meet at a point if extended far enough on the side on which the angles are less than two right angles.