Cassius is persuading Brutus to join him in preventing Ceasar from being crowned dictator by using the logic that Caesar is no better than them. Cassius argues that since he and Brutus are just as well off as Caesar, there is no reason Caesar should be crowned dictator over anyone else. Cassius reasons that Caesar isn't worthy of being a dictator.
Logos
"I was born free as Caesar. So were you.We both have fed as well".
Portia is using her position and reliability as Brutus's wife to convince him to tell her what he is planning that has him so worried. Portia is telling Brutus that as his wife she is deserving of and trustworthy enough for him to tell her the reason he was meeting with the other conspirators. As Brutus's wife, Portia is considered credible and reliable to Brutus, and she uses this position to persuade him to talk to her.
"By all your vows of love and that great vowWhich did incorporate and make us oneThat you unfold to me, your self, your half".
Ethos
Metellus attempts to use flattery to appeal to Caesar's emotions and get Caesar to overturn his brother's banishment. Metellus kneels in front of Caesar and begins complimenting Caesar to make Caesar feel good about himself. Metellus hopes that instilling these feelings would convince Caesar to support the man who is supporting and flattering him.
Pathos
"Most high, most mighty, and most puissant Caesar Metellus Cimber throws before thy seatAn humble heart—".