Si quis aliquem sibi similem odio in rem sibi similem quam amat, affectum esse imaginatur, eum odio habebit.
If anyone imagines that another person similar to oneself is affected with hatred towards a thing similar to oneself - which one loves, one will have hatred towards that other person.
DEMONSTRATIO: Nam res amata eum qui ipsam odit, odio contra habet (per propositionem 40 hujus) adeoque amans qui aliquem imaginatur rem amatam odio habere, eo ipso rem amatam odio hoc est (per scholium propositionis 13 hujus) tristitia affectam esse imaginatur et consequenter (per propositionem 21 hujus) contristatur idque concomitante idea ejus qui rem amatam odit tanquam causa hoc est (per scholium propositionis 13 hujus) ipsum odio habebit. Q.E.D.
For the beloved one [feminine nominative case] in return has hatred for that person who hates the beloved one itself, (by IIIP40 [Reciprocity of Hatred]) and to such an extent the lover who imagines someone has hatred for the beloved one, by this hatred itself one imagines that the beloved one (by IIIP13S [Conatus to Forget]) is affected with sadness and consequently (by IIIP21 [Responsiveness to Beloved]) is saddened and accompanied by the idea of who hates the beloved thing is as such, the cause, that is (by IIIP13S) one will have hatred for the person itself.
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