are not certainly known:  but it may be presumed that Lycurgus did not meddle with the Olympic games before he came to the Kingdom; and therefore Polydectes died in the beginning of the 18th Olympiad, or but a very little before.  If it may be supposed that the 20th Olympiad was in, or very near to the middle time between the deaths of the two Kings Polydectes and Agesilaus, and from thence be counted upwards the aforesaid 120 years, and one year more for the Reign of Aristodemus; the reckoning will place the Return of the Heraclides, about 45 years before the beginning of the Olympiads.

Iphitus, who restored the Olympic games, [35] was descended from Oxylus, the son of Haemon, the son of Thoas, the son of Andraemon:  Hercules and Andraemon married two sisters:  Thoas warred at Troy:  Oxylus returned into Peloponnesus with the Heraclides.  In this return he commanded the body of the AEtolians, and recovered Elea; [36] from whence his ancestor AEtolus, the son of Endymion, the son of Aethlius, had been driven by Salmoneus the grandson of Hellen.  By the friendship of the Heraclides, Oxylus had the care of the Olympic Temple committed to him:  and the Heraclides, for his service done them, granted further upon oath that the country of the Eleans should be free from invasions, and be defended by them from all armed force:  And when the Eleans were thus consecrated, Oxylus restored the Olympic games:  and after they had been again intermitted, Iphitus their King [37] restored them, and made them quadrennial. Iphitus is by some reckoned the son of Haemon, by others the son of Praxonidas, the son of Haemon:  but Haemon being the father of Oxylus, I would reckon Iphitus the son of Praxonidas, the son of Oxylus, the son of Haemon.  And by this reckoning the Return of the Heraclides into Peloponnesus will be two Generations by the eldest sons, or about 52 years, before the Olympiads.

Pausanias [38] represents that Melas the son of Antissus, of the posterity of Gonussa the daughter of Sicyon, was not above six Generations older than Cypselus King of Corinth; and that he was contemporary to Aletes, who returned with the Heraclides into Peloponnesus.  The Reign of Cypselus began An. 2, Olymp. 31, according to Chronologers; and six Generations, at about 30 years to a Generation, amount unto 180 years.  Count those years backwards from An. 2, Olymp. 31, and they will place the Return of the Heraclides into Peloponnesus 58 years before the first Olympiad.  But it might not be so early, if the Reign of Cypselus began three or four Olympiads later; for he reigned before the Persian Empire began.