Anonymous going back on himself retracing his steps back over the same bridge; crossing a bridge, then crossing again in the opposite direction. I would treat this as an idiom rather than trying to find a very specific meaning for the preposition "on". com is this: 9 a —used as a function word to indicate destination or the focus of some action, movement, or directed effort <crept up on him> CJ
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Anonymousgoing back on himselfretracing his steps back over the same bridge; crossing a bridge, then crossing again in the opposite direction.