Page:Euclid's Elements 1714 Barrow translation.djvu/20

8 AD, CB, make the internal angles on the ame ide, BAD, ABC, les than two right angles, thoe two right lines produced hall meet on that ide, where the angles are les than two right angles.

14. Two right lines do not contain a pace.

15. If to equal things, you add things unequal, the exces of the wholes hall be equal to the exces of the additions.

16. If to unequal things equal be added, the exces of the wholes hall be equal to the exces of thoe which were at firt.

17. If from equal things, unequal things be taken away, the exces of the remainders hall be equal to the exces of the wholes.

18. If from things unequal, things equal be taken away, the exces of the remainders hall be equal to the exces of the wholes.

19. Every whole is equal to all its parts taken together.

20. If one whole be double to another, and that which is taken away from the firt to that which is taken away from the econd, the remainder of the firt hall be double to the remainder of the econd.

The Citations are to be undertood in this manner; When you meet with two numbers, the firt hews the Propoition, the econd the Book; as by 4. 1. you are to undertand the fourth Propoition of the firt Book; and o of the ret. ''Moreover, ax. denotes Axiome, pot. Potulate, def. Definition, ch. cholium, cor. Corollary.''