E3P35D
Demonstration — Part III
Latin
Quo quis majore amore rem amatam erga se affectam esse imaginatur, eo magis gloriabitur (per præcedentem propositionem) hoc est (per scholium propositionis 30 hujus) lætabitur adeoque (per propositionem 28 hujus) conabitur quantum potest imaginari rem amatam ipsi quam arctissime devinctam, qui quidem conatus sive appetitus fomentatur si alium idem sibi cupere imaginatur (per propositionem 31 hujus). At hic conatus sive appetitus ab ipsius rei amatæ imagine, concomitante imagine illius quem res amata sibi jungit, coerceri supponitur; ergo (per scholium propositionis 11 hujus) eo ipso tristitia afficietur concomitante idea rei amatæ tanquam causa et simul imagine alterius hoc est (per scholium propositionis 13 hujus) odio erga rem amatam afficietur et simul erga illum alterum (per corollarium propositionis 15 hujus) cui propterea (per propositionem 23 hujus) quod re amata delectatur, invidebit. Q.E.D.
English (Elwes 1883)
In proportion as a man thinks, that a loved object is well affected towards him, will be the strength of his self--approval (by the last Prop.), that is (III. xxx. note), of his pleasure; he will, therefore (III. xxviii.), endeavour, as far as he can, to imagine the loved object as most closely bound to him: this endeavour or desire will be increased, if he thinks that someone else has a similar desire (III. xxxi.). But this endeavour or desire is assumed to be checked by the image of the loved object in conjunction with the image of him whom the loved object has joined to itself; therefore (III. xi. note) he will for that reason be affected with pain, accompanied by the idea of the loved object as a cause in conjunction with the image of his rival; that is, he will be (III. xiii.) affected with hatred towards the loved object and also towards his rival (III. xv. Coroll.), which latter he will envy as enjoying the beloved object. Q.E.D.
Modern English
The more someone imagines the thing he loves to be well affected toward him, the more he will glory (E3P34), that is, the more he will be joyful, and so he will strive, as far as he can, to imagine the beloved thing bound to him as closely as possible (E3P28). This striving or appetite is strengthened if he imagines another desiring the same thing for himself (E3P31). But this striving or appetite is supposed to be checked by the image of the beloved thing accompanied by the image of the one whom the beloved joins to itself. Therefore (E3P11S) he will be affected with sadness accompanied by the idea of the beloved thing as cause together with the image of that other, that is (E3P13S), he will be affected with hatred toward the beloved thing and at the same time toward that other (E3P15C), toward whom he will accordingly be envious (E3P23) because he enjoys the beloved. Q.E.D.