In order, in sequence, successively — describing a careful, orderly arrangement of events or narrative. Used by Luke to describe his methodical approach to writing the Gospel.
Luke's claim to have written 'in order' (Luke 1:3) is a statement about the reliability of revelation. God works through careful, verifiable history — not myth or legend. The orderliness of Luke's account reflects the orderliness of God Himself, who is not a God of confusion (1 Cor 14:33). Kathexēs validates the historicity of faith: Christianity is rooted in events that happened in sequence, in real places, to real people.