Lexical Definition

‎ἑξῆς‎ hexēs (hex-ace') next/afterward ^G:ADV
from ‎ἔχω‎ (in the sense of taking hold of, i.e. adjoining)

after, following, X morrow, next.

• successive

Abbott-Smith

ἑξῆς adv. (< ἔχω),
in order, successively, next: τῇ ἑ. ἡμέρᾳ, Lk 9:37; ἐν τῷ ἑ. (sc. χρόνῳ), soon after, Lk 7:11; τῇ ἑ. (sc. ἡμέρα), Ac 21:1 25:17 27:18.†

Abbott-Smith References

Liddell-Scott-Jones

ἑξῆς,

Epic dialect ἑξείης, adverb, Doric dialect ἑξαν (accent unknown), [Refs 3rd c.BC+]:— one after another, in order, in a row, ἑξῆς εὐνάζοντο [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 [Refs 4th c.BC+]

__b in Mathematics texts, ἑ. ἀνάλογον in continued proportion, [Refs 3rd c.BC+]; οἳ ἑ. ἀριθμοί successive numbers, [Refs 3rd c.BC+]Spir.Praef.; γραμμαὶ ἑ. κείμεναι placed in order, [Refs]; τούτου ἑ. γινομένου if this be done continually, [Refs]
__2 ἑ. διεξελθεῖν, λέγειν, in a regular, consequential manner, [Refs 5th c.BC+]; ὁ ἑ. λόγος the following argument, [Refs 3rd c.AD+]
__3 Grammars, τὸ ἑ. grammatical sequence, opposed to ὑπερβατόν, [Refs 2nd c.AD+]; καὶ τὰ ἑ., Latin et cetera, [Refs 3rd c.AD+]
__4 of Time, thereafter, next, [NT+5th c.BC+]; ἐν τῷ (variant{τῇ}) ἑ. next day, [Refs]; εἰς τὸ ἑ. for the future, [Refs 2nd c.AD+]
__4.b of Place, next, [Refs 5th c.BC+]
__II c.genitive, next to, τινός [Refs 5th c.BC+]next after.., [Refs 4th c.BC+]; of logical connexion, [Refs 5th c.BC+]: with dative, next to, Λάχητι.. τὴν ἑ. θύραν [Refs 4th c.BC+]; τούτοις ἑ. next in order to, [Refs 5th c.BC+] τὸ ἑ. τῇ γεωμετριᾳ what comes next to.., [Refs]; τὸ ἑ. ἔργον τοῖς Μαραθῶνι next after, [Refs]; ἑ. Ἀριστογείτονι beside [Refs 5th c.BC+]; παρὰ τὸ ἑ. τῷ νοερῷ ζῴῳ that which befits.., [Refs 2nd c.AD+]; ἐπεχορήγησα αὐτῇ τὰ ἑ. made suitable provision for her, [Refs 1st c.AD+]

_{LSJ Scripture Refs: Luke.9.37}