7. εἰπὲ λόγῳ. The centurion had clearly heard how Jesus, by His mere fiat, had healed the son of the ‘courtier’ at Capernaum (Joh 4:46-54). The attempt to make these two miracles identical is most arbitrary and untenable.
ὁ παῖς μου. The centurion here uses the more tender word, παῖς, ‘son.’
ἰαθήτω. ‘Let him be healed.’ The faith of the centurion was “an invisible highway for the saving eagles of the great Imperator.” Lange.