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πρόειμι , (εἶμι
A.ibo) go forward, advance,κατὰ βραχὺ προϊώνTh.1.64; “ὀλίγα βήματα προϊόντεςX.Cyr.7.5.6; “π. τῆς ὁδοῦX.Eph.4.3; of the Nile Delta, προϊούσης τῆς χώρης as it advanced (by deposit from the water), Hdt.2.15.
4. go first, go in advance, X.Cyr.1.5.14, 2.2.6: c. gen., go before or in advance of,τῆς ἄλλης στρατιῆςHdt.1.80: metaph., “π. τοῦ καιροῦX.Cyr.6.3.29.
5. go forth,θύρασιAr.Th.69; “π. ἔξω τῆς φάλαγγοςX.Lac.12.3 codd.; “π. τοῦ οἴκουHdn.1.17.4; appear in public,ἐν ἐρεᾷ ἐσθῆτιPGnom.182 (ii A.D.).
b. spring from,γῆς τε καὶ ὕδατοςAphth.Prog.6.
6. π. εἴς τι pass on to, begin another thing, X.Eq.10.13; “π. εἰς ἄπειρονArist.EN 1094a20, Ph.209a26: hence, become,ἐξ οἰκέτου δεσπότης π.Luc.Nigr.20.
7. of an action, “π. ἐπὶ τὸ λῷονsucceed, X.Vect.6.3.
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