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help of Ariadne and Daedalus; Ariadne wants to be taken to Athens. From this point (14) onwards, it is unclear what happens; cf. commentary.
Several summaries (referred to in the notes) tell the myth of Theseus and Hippolytus in wording arguably similar to the papyrus: e.g. Apollod. Epit. 1.8–9:
"And when he came to Crete (cf. i 1), Ariadne, the daughter of Minos, having become enamored of him, promises to assist him (so S: to pass through E) if he agrees to have her as his wife after taking her to Athens. When Theseus agreed under oath, she asks Daedalus to show the exit of the labyrinth (cf. i 3–4). When he advised it, she gave a thread to Theseus as he was entering; Theseus tied this to the door and, pulling it along, went in. Having found the Minotaur in the farthest part of the labyrinth, he killed him by striking him with his fists, and pulling on the thread, he came out again. And by night he arrived at Naxos with Ariadne and the children. There Dionysus, having fallen in love with Ariadne, abducted her, and having taken her to Lemnos, he consorted with her."
A less full version is given by D.S. 4. 61.4:
"When they sailed to Crete, Ariadne, the daughter of Minos, fell in love with Theseus, who was distinguished in beauty, and Theseus, having entered into conversation with her and taken her as an accomplice, both killed the Minotaur and, having learned from her the exit of the labyrinth, was saved; cf. Plu. Thes. 19.1: 'But when he had sailed into Crete... having taken the thread from Ariadne who had fallen in love with him, and having been taught how to navigate the windings of the labyrinth, he killed the Minotaur and sailed away, having taken up Ariadne and the youths.'"
See further sch. Il. 18.590, sch. Od. 11.322, sch. AR 3.997 and Hyg. Fab. 42 Theseus apud Minotaurum Theseus at the Minotaur and 43 Ariadne.
As regards the second story in the papyrus, comparable prose stories about Hippolytus and Phaedra are found in: the hypothesis of Hipp. II transmitted both in medieval manuscripts and in P. Mil. Vog. II 44 (this papyrus text is rather fragmentary but seems to be similar to the medieval hypothesis); Apollod. Epit. 1.18–19; D.S. 4. 62.2–4; Plu. Parallela minora 314A–B; Hyg. Fab. 47; sch. Od. 11.321; Tzetz. Lyc. 1329. See W. S. Barrett, Euripides: Hippolytos (Oxford 1964) 1–45, for the history of the legend including a discussion of the lost Hipp. I and frr. 428–47 N². See also LIMC v, s.v. Hippolytus.
An advance towards reconstruction of col. ii is gained through an overlap with P. Mich. inv. 6222A (ed. pr. G. W. Schwendner, Literary and Non-Literary Papyri from the University of Michigan Collection (diss., Univ. of Michigan 1988) 24–9; re-edited by W. Luppe, ‘Die Hypotheis zum ersten “Hippolytos”’, ZPE 102 (1994) 23–39 with Taf. 1A, and subsequently by Van Rossum-Steenbeek, Greek Readers’ Digests no. 7 (pp. 15 descr., 195–6 text), who notes the overlap (pp. 16, 22), and again by Luppe, ‘Nochmals zur Hypotheis des ersten “Hippolytos”’, ZPE 143 (2003) 23–6). Written in a version of the ‘Severe Style’ dating from the end of the second or beginning of the third century, P. Mich. 6222A (hereafter P. Mich.) appears to contain a text of a story about Hippolytus. In his re-edition Luppe assumes that we are dealing