προκόπτειν
From LSJ
στάζει γὰρ αὖ μοι φοίνιον τόδ᾽ἐκ βυθοῦ κηκῖον αἷμα → blood oozing from the deep wound, bloody gore drops oozing from the depths of my wound
Greek > English (Woodhouse Verbs Reversed)
(see also προκόπτω): advance, improve, gain ground, make headway
Lexicon Thucydideum
promovere, to move forward, advance, 4.60.2, 7.56.3.
