E2P12D
Demonstration — Part II
Latin
Quicquid enim in objecto cujuscunque ideæ contingit, ejus rei datur necessario in Deo cognitio (per corollarium propositionis 9 hujus) quatenus ejusdem objecti idea affectus consideratur hoc est (per propositionem 11 hujus) quatenus mentem alicujus rei constituit. Quicquid igitur in objecto ideæ humanam mentem constituentis contingit, ejus datur necessario in Deo cognitio quatenus naturam humanæ mentis constituit hoc est (per corollarium propositionis 11 hujus) ejus rei cognitio erit necessario in mente sive mens id percipit. Q.E.D.
English (Elwes 1883)
Whatsoever comes to pass in the object of any idea, the knowledge thereof is necessarily in God (II. ix. Coroll.), in so far as he is considered as affected by the idea of the said object, that is (II. xi.), in so far as he constitutes the mind of anything. Therefore, whatsoever takes place in the object constituting the idea of the human mind, the knowledge thereof is necessarily in God, in so far as he constitutes the essence of the human mind; that is (by II. xi. Coroll.) the knowledge of the said thing will necessarily be in the mind, in other words the mind perceives it.
Modern English
Whatever comes to pass in the object of any idea, knowledge of it is necessarily in God (E2P9C), insofar as he is considered as affected by the idea of that object, that is (E2P11), insofar as he constitutes the mind of some thing. Whatever, therefore, comes to pass in the object of the idea that constitutes the human mind, knowledge of it is necessarily in God insofar as he constitutes the nature of the human mind, that is (E2P11C), knowledge of that thing will necessarily be in the mind, or the mind perceives it. Q.E.D.