Q.E.D.
Prop. [XXXV] If anyone conceives, that an object of his love joins
itself to another with closer bonds of friendship than
he himself has attained to, he will be affected with
hatred towards the loved object and with envy towards
his rival.
Proof.- (35:1) 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 ([xxx] note), of his pleasure; he will,
therefore ([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
([xxxi] ). (2) 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 ([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 ([xiii] ) affected with hatred towards
the loved object and also towards his rival ([xv] Coroll.), which
latter he will envy as enjoying the beloved object. Q.E.D.
Note.- (35:3) This hatred towards an object of love joined with envy is
called Jealousy, which accordingly is nothing else but a wavering of the
disposition arising from combined love and hatred, accompanied by the
idea of some rival who is envied.
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