logica

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ἐπ' αὐτὸν ἥκεις τὸν βατῆρα τῆς θύρας → you've come to the crux of the matter, come to the point, hit the nail on the head, you've come to the very threshold of the door, you are come to the very threshold of the door, you've arrived at the truth of the matter

Source

Latin > English (Lewis & Short)

lŏgĭca: ae, or lŏgĭcē, ēs, f., = λογική (sc. τέχνη),
I logic, Isid. 2, 22, 1; written as Greek: in altera philosophiae parte, quae est quaerendi ac disserendi, quae λογική dicitur, Cic. Fin. 1, 7, 22; id. Fat. 1, 1.

Latin > French (Gaffiot 2016)

lŏgĭca, æ, f., Isid. Orig. 2, 22, 1 et lŏgĭcē, ēs, f. (λογική), la logique : Boet. Top. Cic. 1, [ Cic. Fin. 1, 22 λογική],