The story of the rival twins Proetus and Acrisius is found in Chapter/Section 73 of "The Greek Myths" by Robert Graves. Although the Biblical account emphasizes that Jacob had 12 sons, we have learned that at least two (Reuben and Naphtali) were not biological sons. In Greek memory, Acrisius has no sons and only one daughter, Danae, who equates to Dinah the daughter of Jacob. In note 4 of this chapter, Robert Graves writes that "in the earliest version, Proetus is Perseus's father, ... Danae is his sister-wife."
Robert Graves also notes that Hermes (Thoth) was a patron deity of Perseus and that "Hermes, as the messenger of Death, had also earned the title of Pterseus, 'the destroyer'. Perseus, then, is evidently a Greek memory of Thutmose IV who was named as co-regent under Amenhotep II but died prematurely.
The actual successor of Amenhotep II was Amenhotep III. In Greek myth the successor of Tantalus is called Pelops, defined by Graves as "muddy face". Pelops has a sister named as Niobe who married Amphion. This appears to be the name of Aye as the son of Yuya (Amram). As the son of Thutmose IV, Aye is instead referred to as Metion. (Met relates to Midas/Thoth.) In the plays of Sophocles, Aye is instead called Creon.
As in the Middle Kingdom Period, there is a prominent Joseph figure in the New Kingdom Period, and in Greek myth he is called by the same name in both periods, Erechtheus. Other Greek names for this later Erechtheus are Laius and Oenomaus. Upon his death, Xuthus decreed that succession go to Cecrops III, the Oedipus of Sophocles. In the Egyptian 18th Dynasty, Akhenaten (as Cecrops) succeeded Amenhotep III (as Pelops) at the time of the death of Yuya (as Erechtheus), and as dictated by Queen Tiye (as Xuthus, "sparrow"). In the Bible, Tiye is called, among other things, Zipporah ("bird") and the "Cushite" wife of Moses.
After Cecrops III, the throne passes to Pandion II. In the Middle Kingdom, Cecrops comes after Pandion. In the New Kingdom, the order is reversed. Pandion is followed by his "eldest son" Aegeus, who is in turn succeeded by Theseus. This trio is mirrored by the Egyptian New Kingdom progression of Horemheb, Ramses I, and Seti I. Horemheb was a political "son" of Akhenaten and was designated as heir as early as the reign of Tutankhamun. The name Pandion as applied to Horemheb would connote "honored (tion) by all (pan)". In Sopholcles, Horemheb is the respected Choragos. Other Greek names that were possibly associated with Horemheb/Osorkon III are Pittheus (an epithet of Osiris) and Orneas.
Ramses I was called Ahaz II in the Bible, and modeled his titulary after Horus-Aha. This is perhaps the basis for the Greek name Aegeus. Seti I was a great champion. The Greek name Theseus, "depositing/piling", associates with the god Geb. The main rival of Theseus in Greek myth is named as Eurytheus/Apollo, which evidently corresponds to the powerful Ipy/Nakhtmin in Egypt.
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