εἴρω
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
English (LSJ)
(A), aor. εἶρα (v. infr.), also ἔρσα (v. διείρω):—Pass., pf. part. ἐρμένος (ἐν-) Hdt.4.190; Ep. ἐερμένος (v. infr.):—mostly in compds., ἀν-, δι-, ἐν-, ἐξ-, συν-είρω:—
A fasten together in rows, string, used by Hom. only in Ep. pf. Pass., ἠλέκτροισιν ἐερμένος [a necklace] strung with pieces of amber, Od.18.296, and plpf. Pass., μετὰ δ' ἠλέκτροισιν ἔερτο 15.460; περὶ στήθεσσιν ἔερτο [μίτρη] A.R.3.868; τὸ εὖ εἰρόμενον a connected system, Plot.2.3.7. II after Hom.in Act., στεφάνους εἴ. Pi.N.7.77; εἴ. τὰ θεῖα Plu.2.1029c; insert, εἰς βρόχον εἴρας τὸν τράχηλον Zaleuc. ap. Stob.4.2.19 ad fin., cf. PMag.Par.1.259; esp. in speech, string together, ὁ εἴρας καὶ συνυφάνας ἕκαστα [λόγος] Ph.1.499; θρῆνον J.BJ6.5.3; πολλὰ ὀνόματα Philostr.VA 1.20, cf. 6.17; οἱ μηδὲ δύο σχεδὸν ῥήματα δεξιῶς εἴρειν δυνάμενοι S.E. M.1.98:—Pass., εἰρομένη λέξις continuous, running style, i.e. not antithetic or with balanced periods, Arist.Rh.1409a29. 2 εἰρόμενον, τό, 'dossier' of documents, Mitteis Chr.184.9 (iii A.D.); εἰ. τραπεζιτικόν PLips.9.22. (Etym. dub., cf. either Lat. sero or Lith. vérti 'thread'.)
(B),
A say, speak, tell:—Act. is used by Hom. only in Od., and in 1 pers., μνηστῆρσιν δ' . . τάδε εἴρω 2.162, cf. 13.7; τὰ δέ τοι νημερτέα εἴρω 11.137:—Med. in same sense, καὶ εἴρετο δεύτερον αὖτις Il.1.513; εἴροντο δὲ κήδε' ἑκάστη Od.11.542, cf. Nic.Th.359:—Pass., 3sg. εἴρεται is said, Arat.172,261: for other forms v. ἐρῶ. (ϝέρ-yω, fr. root of ἐρῶ, q.v.)
(C),
A ask: for Act. forms (stem ἐρε (ϝ)-), v. ἐρέω (A): for Med. forms (stems ἐρε (ϝ)- and ἐρ (ϝ)-), v. ἔρομαι, ἐπείρομαι.
