αὐτὸν κέκρουκας τὸν βατῆρα τοῦ λόγου → you have struck the very threshold of the argument, you have struck the most important and chiefmost point
ἀπόγεια: τά1) причальные канаты Luc.;2) надземные области (μετέωρα καὶ ἀ. Plut.);3) Arst. = ἡ ἀπογεία.