Hercules the Argonaut was the father of Hyllus; the father of Cleodius; the father of Aristomachus; the father of Temenus, Cresphontes, and Aristodemus, who led the Heraclides into Peloponnesus and Eurystheus, who was of the same age with Hercules, was slain in the first attempt of the Heraclides to return:  Hyllus was slain in the second attempt, Cleodius in the third attempt, Aristomachus in the fourth attempt, and Aristodemus died as soon as they were returned, and left the Kingdom of Sparta to his sons Eurysthenes and Procles.  Whence their Return was four Generations later than the Argonautic expedition:  And these Generations were short ones, being by the chief of the family, and suit with the reckoning of Thucydides and the Ancients, that the taking of Troy was about 75 or eighty years before the return of the Heraclides into Peloponnesus; and the Argonautic expedition one Generation earlier than the taking of Troy.  Count therefore eighty years backward from the Return of the Heraclides into Peloponnesus to the Trojan war, and the taking of Troy will be about 76 years after the death of Solomon:  And the Argonautic expedition, which was one Generation earlier, will be about 43 years after it.  From the taking of Troy to the Return of the Heraclides, could scarce be more than eighty years, because Orestes the son of Agamemnon was a youth at the taking of Troy, and his sons Penthilus and Tisamenus lived till the Return of the Heraclides.

AEsculapius and Hercules were Argonauts, and Hippocrates was the eighteenth inclusively by the father’s side from AEsculapius, and the nineteenth from Hercules by the mother’s side:  and because these Generations, being taken notice of by writers, were most probably by the principal of the family, and so for the most part by the eldest sons; we may reckon about 28 or at the most about 30 years to a Generation.  And thus the seventeen intervals by the father’s side, and eighteen by the mother’s, will at a middle reckoning amount unto about 507 years:  which counted backwards from the beginning of the Peloponnesian war, at which time Hippocrates began to flourish, will reach up to the 43d year after the death of Solomon, and there place the Argonautic expedition.