καταῦθι
From LSJ
τούτων γάρ ἑκάτερον κοινῷ ὀνόματι προσαγορεύεται ζῷον, καί ὁ λόγος δέ τῆς οὐσίας ὁ αὐτός → and these are univocally so named, inasmuch as not only the name, but also the definition, is the same in both cases (Aristotle, Categoriae 1a8-10)
English (LSJ)
Adv.
A again, once more, A.R.1.1079, 2.528; in Od.10.567, 21.55 κατ' belongs to the Verb.
