Book 5
3.3
When Phyleus had returned to Dulichium after organizing the affairs of Elis, Augeas died at an advanced age, and the kingdom of Elis devolved on Agasthenes, the son of Augeas, and on Amphimachus and Thalpius. For the sons of Actor married twin sisters, the daughters of Dexamenus who was king at Olenus; Amphimachus was born to one son and Theronice, Thalpius to her sister Theraephone and Eurytus.
3.4
However, neither Amarynceus himself nor his son Diores remained common people. Incidentally this is shown by HomerHom. Il. 2.622 in his list of the Eleans; he makes their whole fleet to consist of forty ships, half of them under the command of Amphimachus and Thalpius, and of the remaining twenty he puts ten under Diores, the son of Amarynceus, and ten under Polyxenus, the son of Agasthenes. 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.
3.5
Amphimachus begat Eleius, and it was while Eleius was king in Elis that the assembly of the Dorian army under the sons of Aristomachus took place, with a view to returning to the Peloponnesus. To their kings was delivered this oracle, that they were to choose the “one with three eyes” to lead them on their return. When they were at a loss as to the meaning of the oracle, they were met by a man driving a mule, which was blind of one eye.