ἀπηλεγέως

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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: ἀπηλεγέως Medium diacritics: ἀπηλεγέως Low diacritics: απηλεγέως Capitals: ΑΠΗΛΕΓΕΩΣ
Transliteration A: apēlegéōs Transliteration B: apēlegeōs Transliteration C: apilegeos Beta Code: a)phlege/ws

English (LSJ)

Adv.

   A without caring for anything, outright, bluntly, Hom. only in phrase μῦθον ἀπηλεγέως ἀποειπεῖν Il.9.309, Od.1.373; ἀ. πεπύθοιτο A.R.4.1469; νίσσετ' ἀπηλεγέως straightforwards, without looking about, Id.1.785; sternly, 4.687; prob.f.l. for ἀνηλ-, Q.S.1.226:—also ἀπηλεγές, Nic.Th.495, Opp.C.2.510. (From ἀλέγω, like νηλεγής, ἀνηλεγής.)

Greek (Liddell-Scott)

ἀπηλεγέως: Ἐπίρρ. τοῦ ἐπιθ. ἀπηλεγής, ές, (ὅπερ ἀπαντᾷ παρὰ Γρηγ. Ναζ.), ἀφροντίστως, ἀποτόμως, σκληρῶς, ἀπαγορευτικῶς, Ὅμ., μόνον ἐν τῇ φράσει, μῦθον ἀπηλεγέως ἀποειπεῖν Ἰλ. Ι. 309, Ὀδ. Α. 373· οὕτω, νίσσετ’ ἀπηλεγέως, συντόνως, μὴ περιβλέπων τῇδε κἀκεῖσε, Ἀπολλ. Ῥόδ. Α. 785: ― Ὡσαύτως, ἀπηλεγές, Νικ. Θ. 495, Ὀππ. Κ. 2. 510. (Πιθανῶς ἐκ τοῦ ἀλέγω ὡς νηλεγής, ἀνηλεγής).

French (Bailly abrégé)

adv.
sans s’inquiéter, ouvertement, franchement.
Étymologie: ἀπό, ἀλέγω.

English (Autenrieth)

(ἀλέγω): without scruple; μῦθον ἀποειπεῖν, Od. 1.373 and Il. 9.309.