Aegium

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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)

Aegĭum: or Aegĭon, ii, n.,
I a town in Achaia, one of the twelve Achœan cities, situated on the river Selinus, now Vostitza, Mel. 2, 5, 10; Plin. 4, 5, 6, § 13; Lucr. 6, 585; Liv. 38, 30.—Hence,
   A Aegĭenses, ĭum, m., the inhabitants of Achaia, Liv. 38, 30; Tac. A. 4, 13.—
   B Aegĭus, a, um, adj., pertaining to Ægium: vitis, a kind of vine, Plin. 14, 3, 4, § 42.