πότμος
προγράψαντες οὖν τά τε θεωρήματα καὶ τὰ ἐπιτάγματα τὰ χρεῖαν ἔχοντα εἰς τὰς ἀποδείξιας αὐτῶν μετὰ ταῦτα γραψοῦμές τοι τὰ προκείμενα → having therefore written at the beginning the theorems and the postulates that are necessary for their proofs, we will then write out for you the propositions
English (LSJ)
ὁ, (πίπτω) poet. word,
A that which befalls one, lot, destiny: 1 in Hom. always of evil destiny, esp. of death; of the killer, πότμον ἐφῆκε, ἐφήσω, Il.4.396, Od.19.550; or of the killed, πότμον ἐπισπεῖν Il.6.412, Od.2.250, al.; θάνατον καὶ π. ἐπισπεῖν Il.2.359, 20.337, al.; also θανέειν καὶ πότμον ἐπισπεῖν 7.52, Od.4.562, al.; ὀλόμην καὶ πότμον ἐπέσπον 11.197; αἴ κε θάνῃς καὶ πότμον ἀναπλήσῃς βιότοιο Il.4.170, cf. 11.263; also πότμον ἐφάψαι, = π. ἐφεῖναι, Pi.O. 9.60, cf. B.5.158, etc.; πότμον ἀμπιπλάντες ὁμοῖον, of the Dioscuri who lived on alternate days, Pi.N.10.57. 2 after Hom. without a sense of evil, π. συγγενής one's natural gifts, ib.5.40; εὐτυχεῖ π. A.Pers.709; καλλίπαις π. Id.Ag.762 (lyr.), cf. 1005 (lyr.); π. ξυνήθης πατρός my father's customary fortune, S.Tr.88; π. ἄποτμος E.Hipp. 1143 (lyr.); τίνα ποτ' Ἠλέκτρα πότμον εἴληχε βιότου; Id.IT913; θανεῖν ζηλωτὸς ἐν Ἑλλάδι π. Arist.Fr.Lyr.6.4. II personified, Destiny, ὁ μέγας Π. Pi.P.3.86. [The first syll. long in Hom., but sts. short in later poets, IG9(1).871 (Corc., iii B.C.), Orph.A.1291; commonly short in Trag., but long in S.Tr.88, Fr.871.1.]