Lexical Definition

‎διαδέχομαι‎ diadéchomai (dee-ad-ekh'-om-ahee) to receive in turn ^G:V
from ‎διά‎ and ‎δέχομαι‎

come after.

• to receive in turn, i.e. (figuratively) succeed to

Abbott-Smith

δια-δέχομαι [in LXX for מִשְׁנֶה (Deiss., BS, 115), פַּרְבָּר ;]
to receive through another, receive in turn: Ac 7:45 (RV, in their turn; v. Field, Notes, 116).†

Abbott-Smith References

Liddell-Scott-Jones

διαδέχομαι,

future -ξομαι, receive one from another, δ. τὸν λόγον take up the word, i.e. speak next, [Refs 5th c.BC+]; δ. νόμους παρὰ τῶν θεῶν, τέχνην, [Refs 5th c.BC+]; τὴν διατριβήν, leadership of a school of philosophy, [Refs 1st c.BC+]

__2 δ. βασιλείαν succeed to the kingdom, [Refs 2nd c.BC+]; τὴν ναῦν δ. τινί, of a trierarch [Refs 4th c.BC+]
__II διαδέχεσθαί τινι succeed one, take his place, relieve him on guard, etc., [Refs 5th c.BC+]; δ. τὰ κατὰ τὴν στρατηγίαν act for the στρατηγός, [Refs 2nd c.AD+]; τοὺς προφήτας στολισταὶ δ. represent, [Refs]
__II.b appoint a successor to, τινά [Refs 4th c.BC+] —passive, διεδέχθη τῆς στρατηγίας was relieved of his command, [Refs 4th c.BC+]
__II.2 absolutely, relieve one another, τοῖς ἵπποις with fresh horses, [Refs 5th c.BC+] (wrongly explained as closing in from both sides by [Refs 4th c.BC+]; succeed, οἱ διαδεχόμενοι στρατηγοί [Refs 5th c.BC+]; οἱ διαδεξάμενοι the successors (of Alexander), [Refs 2nd c.BC+]: perfect participle passive, νὺξ εἰσάγει καὶ νὺξ ἀπωθεῖ διαδεδεγμένη in turns, by turns, [NT+5th c.BC+]
__III supersede, τὸν ὕπατον [Refs 1st c.BC+]

_{LSJ Scripture Refs: Acts.7.45}