A.one after another, in order, in a row, “ἑξῆς εὐνάζοντο” Od.4.449; ἑξῆς δ᾽ ἑζόμενοι ib.580 (elsewh. Hom. uses the form ἑξείης, Il.6.241, Od.4.408); “πάντας ἑ. . . κτείνοντες” Th.7.29, cf. E.Fr.657.2; τὰ ἑ. v.l. in Arist. Cael.310b12.
b. Math., ἑ. ἀνάλογον in continued proportion, Euc. 8.1, al.; οἳ ἑ. ἀριθμοί successive numbers, Archim.Spir.Praef.; γραμμαὶ ἑ. κείμεναι placed in order, ib.11; τούτου ἑ. γινομένου if this be done continually, Id.Sph.Cyl.1.11.
2. ἑ. διεξελθεῖν, λέγειν, in a regular, consequential manner, Pl.Plt.257b, 286c; “τοῦ ἑ. ἕνεκα περαίνεσθαι τὸν λόγον” Id.Grg.454c; ὁ ἑ. λόγος the following argument, Id.Ti.20b; “ἐν ἅπασι τούτοις ἑ.” Longin.9.14, cf. 4.4.
3. Gramm., τὸ ἑ. grammatical sequence, opp. ὑπερβατόν, A.D.Pron.41.3,al.; καὶ τὰ ἑ., Lat. et cetera, PTeb. 319.34 (iii A. D.), etc.
4. of Time, thereafter, next, A.Fr.475, Ar.Ec.638; “τὸν ἑ. χρόνον” Pl.Plt.271b; “ἡ ἑ. ἡμέρα” Ev.Luc. 9.37; ἐν τῷ (v.l. τῇ） ἑ. next day, ib.7.11; εἰς τὸ ἑ. for the future, POxy.474.28 (ii A.D.), etc.
b. of Place, next, E.IA249, Arist. Mu.392a26.
II. c.gen., next to, “τινός” Ar.Ra.765; “τὰ τούτων ἑ.” Pl.R.390a; “τούτων ἑ.” next after . ., D.18.102; of logical connexion, Pl.Phlb.42c: c. dat., next to, “Λάχητι . . τὴν ἑ. θύραν” Ephipp.16; “τούτοις ἑ.” next in order to, Pl.Cra.399d, al.; “τὸ ἑ. τῇ γεωμετριᾳ” what comes next to . ., Id.R.528a; “τὸ ἑ. ἔργον τοῖς Μαραθῶνι” next after, Id.Mx.241a; “ἑ. Ἀριστογείτονι” beside A., Ar.Lys.633; “παρὰ τὸ ἑ. τῷ νοερῷ ζῴῳ” that which befits . ., M.Ant.4.5; ἐπεχορήγησα αὐτῇ τὰ ἑ. made suitable provision for her, POxy.282.7 (i A.D.).
