ſtain from citing the axiome, for brevity's ſake altho' the force of the conſequence depend thereon.
2. If to equal things you add equal things, the wholes ſhall be equal.
3. If from equal things you takeaway equal things, the things remaining will be equal.
4. If to unequal things you add equal things, the wholes will be unequal.
5. If from unequal things you take away equal things, the remainders will be unequal.
6. Things which are double to the ſame third, or to equal things, are equal one to the other. Underſtand the ſame of triple, quadruple, &c.
7. Things which are half of one and the ſame thing, or of things equal, are equal the one to the other. Conceive the ſame of ſubtriple, ſubquadruple, &c.
8. Things which agree together, are equal one to the other.
The converſe of this axiome is true in right lines and angles, but not in figures, unleſs they be like.
Moreover, magnitudes are ſaid to agree, when the parts of the one being applyed to the parts of the other, they fill up an equal or the ſame place.
9. Every whole is greater than its part.
10. Two right lines cannot have one and the ſame ſegment (or part) common to them both.
11. Two right lines meeting in the ſame point, if they be both produced, they ſhall neceſſarily cut one the other in that point.
12. All right angles are equal the one to the other.
13. If a right line BA falling on two right lines
