to mount/board
Epibaino describes setting foot on, boarding, or mounting a place, vessel, or animal in the cited passages.
The attested uses chiefly describe getting onto a vessel or other conveyance: travelers board ships in Acts 21:2 and Acts 27:2, and the king is depicted as mounted on a donkey in Matthew 21:5. In the remaining settings, the verb marks setting foot in Asia, going up to Jerusalem after taking charge of a province, and an intended movement toward Jerusalem.
Senses in use
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Getting aboard or onto a conveyance · dominant
The aorist active participles in Acts 21:2 and Acts 27:2 occur as the travelers find a boat or ship and then depart; in both verses the APB renders the action "boarded." Matthew 21:5 uses a perfect active participle in the description of the king "mounted upon a donkey and upon a colt."
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Setting foot in or moving toward a place · common
In Acts 20:18, the first-person aorist active indicative occurs in the speaker's statement about the day he "set foot in Asia." In Acts 25:1, an aorist active nominative masculine singular participle precedes the movement from Caesarea to Jerusalem, while Acts 21:4 has a present active infinitive in the disciples' urging Paul not to go up to Jerusalem.
In the Anselm Project Bible: The APB explicitly uses "set foot," "boarded," and "mounted" in the clearest clauses, while Acts 21:4 and Acts 25:1 present the surrounding movement as going up to Jerusalem. These are verse-level renderings rather than fixed equivalents for the term.