A.go first and lead the way, Hdt.2.48, 7.40, X.Lac.13.2, etc.; τινι for a person, i.e. guide him, “τῷ θεῷ” Ar.Pl.1195, cf. X.Cyr. 2.1.1; π. τὴν [ὁδόν] Id.An.6.5.10; of troops, form the van, Id.Cyr.4.2.27; π. πᾶσι [τοῖς ποσίν] to have all in front, Arist.IA714a4.
b. precede logically, τινος S.E.P.1.210.
2. c. gen., take the lead of, “τῶν προόδων ἄλλους προόδους . . προηγεῖσθαι” X.Eq.Mag.4.5; “π. τῆς πομπῆς” Plb.12.13.11; of the planets in retrograde motion, get ahead of, “ἀπλανῶν ἀστέρων” Gem.12.22: later c. acc., “ἀλλήλους π. τῇ τιμῇ” Ep.Rom.12.10:—c. inf., προήγημαι τὴν τούτων ἐπίδοσιν ποήσεσθαι have taken the initiative in . . , BGU1193.11 (i B.C.).
3. of things, “τὸ πῦρ μὲν ἀπὸ τούτων τῶν ἱερῶν προηγεῖται” goes before, precedes, X.Lac. 13.3; “ῥάβδοι π. ἑκάστῳ” Plb.6.53.8.
4. pres. part. προηγούμενος, η, ον, going first, τὸ π. στράτευμα the van, opp. οὐρά, X.Ages.2.2; preceding, foregoing, Phld.Ir.p.94 W.; “γράμματα” Plu.Pomp.45.
b. Math., τὰ π. forward points, i.e. those lying on the same side of the radius vector of a spiral as the direction of its motion, Archim.Spir. 11 Def.6; “ἁ π. εὐθεῖα” Id.Spir.21,23.
c. Astron., τὰ π. ζῴδια signs leading in the daily movement of the heavens, i.e. westerly signs, opp. ἑπόμενα, Gem.1.5, Theo Sm.p.147 H., etc.
d. “τὰ π.” initial data, premisses, Plb.16.16.6, Arr.Epict.1.20.1; “σημεῖα” Phld.Sign.36; “φαντασίαι” M.Ant.8.49; π. οὐσία τοῦ ἀγαθοῦ given, i.e. external to the soul, Arr.Epict.3.7.6; τὸ π., opp. τὸ ἐπιγέννημα, ib.7; τὰ π. originals of paintings, Arist.Mu.396b14.
e. leading, principal, κατὰ π. λόγον according to a guiding principle, Zeno Stoic.1.48; ὁ π. λόγος, τὸ π. ἔργον, Arr.Epict.1.20.14, 2.5.4; σύν τινι προηγουμένῳ in conjunction with a purpose, Iamb.VP27.131, cf. Plot.4.4.8; “χειρὸς οὐσία μὲν ἡ σάρξ, προηγούμενα δὲ τὰ χειρὸς ἔργα” Arr.Epict.3.7.24, cf. 3.22.76; ὑπηρετικὰ ἄλλοις, οὐκ αὐτὰ π. ib.2.8.6; so in Math., π. θεώρημα leading theorem, opp. ἀντίστροφον, Procl.in Euc.p.254F.
