E5P11D

Demonstration — Part V

Latin

Quo enim imago seu affectus ad plures res refertur, eo plures dantur causæ a quibus excitari et foveri potest quas omnes mens (per hypothesin) ex ipso affectu simul contemplatur atque adeo affectus eo frequentior est seu sæpius viget et (per propositionem 8 hujus) mentem magis occupat. Q.E.D.

English (Elwes 1883)

In proportion as a mental image or an emotion is referred to more objects, so are there more causes whereby it can be aroused and fostered, all of which (by hypothesis) the mind contemplates simultaneously in association with the given emotion; therefore the emotion is more frequent, or is more often in full vigour, and (V. viii.) occupies the mind more. Q.E.D.

Modern English

The more an image or affect is referred to many things, the more causes there are by which it can be aroused and sustained — all of which the mind (by hypothesis) contemplates simultaneously in connection with the affect. The affect is therefore the more frequent, or the more often vivid, and (E5P8) the more it occupies the mind. Q.E.D.

Depends on (1)

Propositions