μαχαιρίων

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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
Click links below for lookup in third sources:
Full diacritics: μᾰχαιρίων Medium diacritics: μαχαιρίων Low diacritics: μαχαιρίων Capitals: ΜΑΧΑΙΡΙΩΝ
Transliteration A: machairíōn Transliteration B: machairiōn Transliteration C: machairion Beta Code: maxairi/wn

English (LSJ)

ωνος, ὁ,

   A = ξιφίον, Dsc.4.20; v. l. μαχαιρώνιον.

Greek Monolingual

μαχαιρίων, -ωνος, ὁ (Α)
ξιφίδιο, μικρό ξίφος.
[ΕΤΥΜΟΛ. < μάχαιρα + επίθημα -ίων (πρβλ. γλυκ-ίων, πορφυρ-ίων)].