Postulates

1. Let it be granted that a straight line may be drawn from any point to any other point.
2. That a terminated straight line may be produced to any length in a straight line.
3. And that a circle may be described from any center, at any distnce from the center.

Axioms

1. Things which are equal to the same thing are equal to one another.
2. If equals be added to equals, the wholes are equal.
3. If equals be taken away from equals, the remainders are equal.
4. If equals be added to unequals, the wholes are unequal.
5. If equals be taken away from unequals, the remainders are unequal.
6. Things which are doubles of the same thing, are equal to one nother.
7. Things which are halves of the same thing, are equal to one another.
8. Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
9. The whole is greater than the part
10. All right angles are equal to one another.
11. Two straight lines which intersect one another, cannot be both parallel to the same straight line.

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