E2P45D
Demonstration — Part II
Latin
Idea rei singularis actu existentis ipsius rei tam essentiam quam existentiam necessario involvit (per corollarium propositionis 8 hujus). At res singulares (per propositionem 15 partis I) non possunt sine Deo concipi sed quia (per propositionem 6 hujus) Deum pro causa habent quatenus sub attributo consideratur cujus res ipsæ modi sunt, debent necessario earum ideæ (per axioma 4 partis I) ipsarum attributi conceptum hoc est (per definitionem 6 partis I) Dei æternam et infinitam essentiam involvere. Q.E.D.
English (Elwes 1883)
The idea of a particular thing actually existing necessarily involves both the existence and the essence of the said thing (II. viii.). Now particular things cannot be conceived without God (I. xv.); but, inasmuch as (II. vi.) they have God for their cause, in so far as he is regarded under the attribute of which the things in question are modes, their ideas must necessarily involve (I. Ax. iv.) the conception of the attributes of those ideas--that is (I. vi.), the eternal and infinite essence of God. Q.E.D.
Modern English
The idea of a particular thing actually existing necessarily involves both the essence and the existence of that thing (E2P8C). Now particular things cannot be conceived without God (E1P15); but since (E2P6) they have God as their cause insofar as he is considered under the attribute of which those things are modes, their ideas must necessarily involve (E1A4) the concept of that attribute, that is, by (E1D6), the eternal and infinite essence of God. Q.E.D.