alveatus

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προγράψαντες οὖν τά τε θεωρήματα καὶ τὰ ἐπιτάγματα τὰ χρεῖαν ἔχοντα εἰς τὰς ἀποδείξιας αὐτῶν μετὰ ταῦτα γραψοῦμές τοι τὰ προκείμενα → having therefore written at the beginning the theorems and the postulates that are necessary for their proofs, we will then write out for you the propositions

Source

Latin > English (Lewis & Short)

alvĕātus: a, um, adj. id.,
I hollowed out like a trough or tray: sulcus, Cato, R. R. 43, 1 Schneid.