The battle took place in the flat country of the Province of Piacenza on the left bank of the Trebbia River, a shallow, braided stream, not far south from its confluence (from the south) with the Po river.
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Mommsen simply assumed that the square did recross the river, but closer to Placentia, perhaps on a bridge.
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This article adopts Mommsen's classic view that the Romans camped on the right bank and crossed to the left.
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