E2P41D
Demonstration — Part II
Latin
Ad primi generis cognitionem illas omnes ideas diximus in præcedenti scholio pertinere quæ sunt inadæquatæ et confusæ atque adeo (per propositionem 35 hujus) hæc cognitio unica est falsitatis causa. Deinde ad cognitionem secundi et tertii illas pertinere diximus quæ sunt adæquatæ adeoque (per propositionem 34 hujus) est necessario vera. Q.E.D.
English (Elwes 1883)
To knowledge of the first kind we have (in the foregoing note) assigned all those ideas, which are inadequate and confused; therefore this kind of knowledge is the only source of falsity (II. xxxv.). Furthermore, we assigned to the second and third kinds of knowledge those ideas which are adequate; therefore these kinds are necessarily true (II. xxxiv.). Q.E.D.
Modern English
In the preceding scholium we assigned to knowledge of the first kind all ideas that are inadequate and confused; therefore (E2P35) this kind of knowledge is the only cause of falsity. We assigned to the second and third kinds all ideas that are adequate; therefore (E2P34) these kinds are necessarily true. Q.E.D.