An incarnation was the bodily appearance of a person, thing, or concept.
In 2366, Q referred to Worf as "perspicacity incarnate". (TNG: "Deja Q")
In 2369, Odo complained about having pursued "incarnations of the Prophets, long dead lovers, Gunji jackdaws, blizzards, trollops" all over Deep Space 9, among other things which had materialized from the imaginations of the space station's inhabitants. (DS9: "If Wishes Were Horses")
In 2373, Weyoun 5 described the now-deceased Weyoun 4 as "the fourth incarnation of our noble progenitor" (DS9: "Ties of Blood and Water")