E3P31S
Scholium — Part III
Latin
Hic conatus efficiendi ut unusquisque probet id quod ipse amat vel odio habet, revera est ambitio (vide scholium propositionis 29 hujus) atque adeo videmus unumquemque ex natura appetere ut reliqui ex ipsius ingenio vivant, quod dum omnes pariter appetunt, pariter sibi impedimento et dum omnes ab omnibus laudari seu amari volunt, odio invicem sunt.
English (Elwes 1883)
This endeavour to bring it about, that our own likes and dislikes should meet with universal approval, is really ambition (see III. xxix. note); wherefore we see that everyone by nature desires (appetere), that the rest of mankind should live according to his own individual disposition: when such a desire is equally present in all, everyone stands in everyone else's way, and in wishing to be loved or praised by all, all become mutually hateful.
Modern English
This striving to bring it about that everyone approves what we love and hates what we hate is in fact ambition — see E3P29S (E3P29S). So we see that by nature everyone desires that the rest of humanity live according to his own disposition. When everyone desires this equally, each is an obstacle to all the others, and because everyone wants to be loved or praised by all, they become mutually hateful.