- Perimedes, a son of Eurystheus and Antimache, was killed by the Athenians in the war that ensued when Athens refused to deliver the Heracleidae up to Eurystheus. Alternately, Perimedes, along with his brothers Eurybius and Eurypylus, was slain by Heracles when at a sacrificial meal in honor of his Twelve Labors being completed they served him a smaller portion of meat than they did for themselves.
- Perimedes, father of the Phocian Schedius.
- In the Odyssey, Perimedes was one of Odysseus's companions during his return voyage from Troy. He is very loyal to Odysseus throughout the story.
- Perimedes, a Centaur, son of Peuceus, who attended Pirithous's wedding and fought against the Lapiths.
- Perimedes, a defender of Troy from Smintheus's grove who was killed by Neoptolemus.
- Perimedes, one of the suitors of Penelope, from Same.
- Perimedes, a singer from Argos, said to have had many disciples.
- Pseudo-Apollodorus, Bibliotheca 2. 8. 1
- Athenaeus, Banquet of the Learned, 4. 158 (p. 219)
- Homer, Iliad, 15. 515
- Homer, Odyssey, 11. 23; 12. 195
- Pausanias, Description of Greece, 10. 29. 1
- Shield of Heracles, 186
- Quintus Smyrnaeus, Fall of Troy, 8. 291
- Pseudo-Apollodorus, Bibliotheca, Epitome of Book 4, 7. 26 ff
- Scholia on Odyssey, 3. 267
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