E2P37D
Demonstration — Part II
Latin
Si negas, concipe si fieri potest, id essentiam alicujus rei singularis constituere nempe essentiam B. Ergo (per definitionem 2 hujus) id sine B non poterit esse neque concipi; atqui hoc est contra hypothesin : ergo id ad essentiam B non pertinet nec alterius rei singularis essentiam constituit. Q.E.D.
English (Elwes 1883)
If this be denied, conceive, if possible, that it constitutes the essence of some particular thing; for instance, the essence of B. Then (II. Def. ii.) it cannot without B either exist or be conceived; but this is against our hypothesis. Therefore it does not appertain to B's essence, nor does it constitute the essence of any particular thing. Q.E.D.
Modern English
Deny this if you can: conceive, if possible, that what is common to all things constitutes the essence of some particular thing, say, the essence of B. Then (E2D2) it could neither exist nor be conceived without B. But that contradicts the hypothesis. Therefore it does not belong to B's essence, and it does not constitute the essence of any particular thing. Q.E.D.