E3P15D2
Demonstration — Part III
Latin
Nam ex hoc solo fit (per propositionem 14 hujus) ut mens hanc rem postea imaginando affectu lætitiæ vel tristitiæ afficiatur hoc est (per scholium propositionis 11 hujus) ut mentis et corporis potentia augeatur vel minuatur etc. Et consequenter (per propositionem 12 hujus) ut mens eandem imaginari cupiat vel (per corollarium propositionis 13 hujus) aversetur hoc est (per scholium propositionis 13 hujus) ut eandem amet vel odio habeat. Q.E.D.
English (Elwes 1883)
For from this fact alone it arises (III. xiv.), that the mind afterwards conceiving the said thing is affected with the emotion of pleasure or pain, that is (III. xi. note), according as the power of the mind and body may be increased or diminished, &c.; and consequently (III. xii.), according as the mind may desire or shrink from the conception of it (III. xiii. Coroll.), in other words (III. xiii. note), according as it may love or hate the same. Q.E.D.
Modern English
From this alone it follows (E3P14) that whenever the mind afterwards imagines that thing, it will be affected with an affect of joy or sadness (E3P11S), that is, the power of the mind and body will be increased or decreased, and so (E3P12) the mind will strive to imagine it or (E3P13C) will be averse to it, that is (E3P13S), it will love it or hate it. Q.E.D.