is the son of Theseus, king of Athens. Theseus is married to Phaedra. Theseus rapes Hippolyta, the Queen of the Amazons and impregnates her, giving Theseus a son he names Hippolytus after his mother. Theseus is in exile for killing another king, and for a year Phaedra is left with Hippolytus. In an Oedipal-like story, Hippolytus' stepmother, Phaedra, falls in love with him and tries to seduce him. Hippolytus spurns her advances and tells his father Theseus. Theseus goes to confront his wife and they find she has committed suicide. She leaves a note claiming she killed herself after Hippolytus raped her.
Hippolytus' fate is wrapped up in the fact that he has taken a vow of chastity and refuses to worship Aphrodite. He prays to Artemis, god of the hunt and chastity, thus incurring Aphrodite's wrath. Phaedra becomes a pawn in Aphrodite's plot to get even with Hippolytus.
There is nothing specifically Amazonian in this play, but it is worth noting some of the semiotics at work in staging this. Artemis is a particularly interesting female god of chastity and the hunt.