ἑξῆς,
Epic dialect ἑξείης, adverb, Doric dialect ἑξαν (accent unknown), [[ “IG” 12(1).155.108 (Rhodes, 2nd c.BC), “SIG” 1023.80 (Cos, 3rd-2nd c.BC), +others] Refs 3rd c.BC+]:— one after another, in order, in a row, ἑξῆς εὐνάζοντο [[ 8th c.BC: Odyssea Homerus Epicus “Odyssey” 4.449; ἑξῆς δ᾽ ἑζόμενοι [prev. work] 580 (elsewhere 8th c.BC: Homerus Epicus uses the form ἑξείης, 8th c.BC: Ilias Homerus Epicus “Illiad” 6.241, 8th c.BC: Odyssea Homerus Epicus “Odyssey” 4.408); πάντας ἑ... κτείνοντες 5th c.BC: Thucydides Historicus 7.29, compare 5th c.BC: Euripides Tragicus “Fragmenta” 657.2 ] Refs 8th c.BC+]; τὰ ἑ. variant in [[ 4th c.BC: Aristoteles Philosophus “de Caelo” 310b12. ] Refs 4th c.BC+]
__b in Mathematics texts, ἑ. ἀνάλογον in continued proportion, [[ 3rd c.BC: Euclides Geometra 8.1, +others] Refs 3rd c.BC+]; οἳ ἑ. ἀριθμοί successive numbers, [[ 3rd c.BC: Archimedes Geometra ] Refs 3rd c.BC+]Spir.Praef.; γραμμαὶ ἑ. κείμεναι placed in order, [[[prev. work]11] Refs]; τούτου ἑ. γινομένου if this be done continually, [[ [prev. author] “Sph.Cyl.” 1.11. ] Refs]
__2 ἑ. διεξελθεῖν, λέγειν, in a regular, consequential manner, [[ 5th-6th c.BC: Plato Philosophus “Politicus” 257b, 286c; τοῦ ἑ. ἕνεκα περαίνεσθαι τὸν λόγον [prev. author] “Grg.” 454c ] Refs 5th c.BC+]; ὁ ἑ. λόγος the following argument, [[ [prev. author] “Ti.” 20b; ἐν ἅπασι τούτοις ἑ. 3rd c.AD: Longinus Rhetor 9.14, compare 4.4. ] Refs 3rd c.AD+]
__3 Grammars, τὸ ἑ. grammatical sequence, opposed to ὑπερβατόν, [[ 2nd c.AD: Apollonius Dyscolus Grammaticus “de Pronominibus;” 41.3, +others] Refs 2nd c.AD+]; καὶ τὰ ἑ., Latin et cetera, [[ PTeb. 319.34 (3rd c.AD), etc. ] Refs 3rd c.AD+]