Passion and anger are the causes of acts of revenge. But there is a difference between revenge and punishment; the latter is inflicted in the interest of the sufferer, the former in the interest of him who inflicts it, that he may obtain satisfaction.

[διὰ θυμὸν δὲ καὶ ὀργὴν τὰ τιμωρητικά. διαφέρει δὲ τιμωρία καὶ κόλασις: ἡ μὲν γὰρ κόλασις τοῦ πάσχοντος ἕνεκά ἐστιν, ἡ δὲ τιμωρία τοῦ ποιοῦντος, ἵνα πληρωθῇ.]

Aristotle (384-322 BC) Greek philosopher

Rhetoric [Ῥητορική; Ars Rhetorica], Book 1, ch. 10, sec. 16-17 (1.10.16) / 1369b (350 BC) [tr. Roberts (1924)]
    (Source)

(Source (Greek)). Alternate translations:

In feeling and anger originate acts of revenge. Now punishment and revenge differ; for punishment is inflicted for the sake of him that suffers it; but revenge for the sake of him that deals it, in order that he may be satisfied.
[Source (1847)]

Through the medium of anger and excited feeling arise acts of vengeance. Now, between revenge and punishment there is a difference; for punishment is for the sake of the sufferer, but revenge for that of the person inflicting it, in order that he may be satiated.
[tr. Buckley (1850)]

The acts done through passion and anger are acts of retribution. There is a difference between retribution and chastisement; chastisement being inflicted for the sake of the patient, retribution for the satisfaction of the agent.
[tr. Jebb (1873)]

Passion and anger are the causes of acts of revenge. But there is a difference between revenge and punishment; the latter is inflicted in the interest of the sufferer, the former in the interest of him who inflicts it, that he may obtain satisfaction.
[tr. Freese (1926)]

Passion and anger are responsible for acts of retaliation. Retaliation and punishment are different: one punishes for the sake of the person being punished, but one retaliates for one's own sake, to obtain satisfaction.
[tr. Bartlett (2019)]