καταθνῄσκω · katathnēiskō — LSJ
die away, be dying, died, to be dead
poet. Verb, die away, be dying, τὸν δὲ καταθνῄσκων προσέφη Il. 22.355; κάτθανε καὶ Πάτροκλος died, 21.107: in pf., to be dead, κατατεθνήκασι, opp. ζώουσι, 15.664: freq. in pf. part., ἀνδρὸς . . κατατεθνηῶτος 7.89, 22.164; νέκυι κατατεθνηῶτι 16.565; νεκροὺς κατατεθνηῶτας 18.540, etc.: used by Trag. only in sync. fut. κατθανοῦμαι, E. Med. 1386, Alc. 150, etc.; and in inf. and part. of sync. aor. κατθανεῖν, κατθανών, A. Ag. 1290, 873, etc.: once in ind., κάτθανε ib. 1553 (anap.).
2 perish
metaph., perish, μέλι . . κάτθανε ἐν κηρῷ λυπεύμενον Mosch. 3.34; κάτθανε δʼ ἁ μορφὰ σὺν Ἀδώνιδι Bion 1.31.