E2P3D
Demonstration — Part II
Latin
Deus enim (per propositionem 1 hujus) infinita infinitis modis cogitare sive (quod idem est per propositionem 16 partis I) ideam suæ essentiæ et omnium quæ necessario ex ea sequuntur, formare potest. Atqui omne id quod in Dei potestate est, necessario est (per propositionem 35 partis I); ergo datur necessario talis idea et (per propositionem 15 partis I) non nisi in Deo. Q.E.D.
English (Elwes 1883)
God (by the first Prop. of this Part) can think an infinite number of things in infinite ways, or (what is the same thing, by Prop. xvi., Part i.) can form the idea of his essence, and of all things which necessarily follow therefrom. Now all that is in the power of God necessarily is (Pt. i., Prop. xxxv.). Therefore, such an idea as we are considering necessarily is, and in God alone. Q.E.D. (Part i., Prop. xv.)
Modern English
God (E2P1) can think infinitely many things in infinitely many ways, or, what amounts to the same thing (E1P16), can form the idea of his essence and of all things that follow necessarily from it. Now everything that is in God's power necessarily exists (E1P35). Such an idea therefore necessarily exists, and it exists in God alone (E1P15). Q.E.D.