In Greek mythology, Amphimachus (; Ancient Greek: Ἀμφίμαχος derived from ἀμφί amphi "on both sides, in all directions, surrounding" and μαχη mache "battle") son of Polyxenus and was also the king of Elis. He was named after Amphimachus, son of Cteatus. He was the father of Eleius, his successor.Pausanias, 5.3.4–5
Mythology
Pausanias' account
"Polyxenus came back safe from Troy and begat a son, Amphimachus. This name I think Polyxenus gave his son because of his friendship with Amphimachus, the son of Cteatus, who died at Troy. Amphimachus begat Eleius..."Pausanias, 5.3.4–5
Note
References
Pausanias, Description of Greece with an English Translation by W.H.S. Jones, Litt.D., and H.A. Ormerod, M.A., in 4 Volumes. Cambridge, MA, Harvard University Press; London, William Heinemann Ltd. 1918. . Online version at the Perseus Digital Library Pausanias, Graeciae Descriptio. 3 vols. Leipzig, Teubner. 1903. Greek text available at the Perseus Digital Library.