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the troops, and the nature of the ground upon which the battle was fought. It is about the greatest average ever attained in any single contest between veteran armies, Those losses generally vary from one twentieth, or five per cent., to one fourth, or twenty-five per cent., of the troops engaged. The British, at Waterloo, lost not quite one sixth, or only sixteen per cent. The Austrians, at Magenta, lost only one thirteenth, that is, not quite eight per cent.; and the Prussian loss at Sadowa was remarkably small, being only one twentieth, or five per cent. and in most instances the defeated army is either completely routed or unfit for another campaign until largely reinforced. The Federals commenced the battle, on the 6th, with over forty thousand men of all arms, and were reinforced that day by the timely arrival of Ammen's brigade, of General Buell's army. During the night of the 6th and the next morning they were reinforced again, by Lew. Wallace's division of General Gr