It is not proposed to treat here of the battle of Waterloo in detail--a task to which numerous bulky volumes have been devoted,--but in describing the small part played in the fight by Lieut.-Colonel Sam Rice and his regiment, it will be necessary at any rate to sum up the situation at various times, in order to make the narrative complete. Still it may be said at once that the bulk of Mitchell's brigade kept to the one part of the field throughout the day, at times gaining ground, at times forced back, yet ever awaiting attack in the vicinity of Hougoumont. The brigade was weak in numbers, mustering no more than 1800 bayonets, of which the 51st supplied 540. The duty allotted to Mitchell was an important one, since Wellington considered it probable that Napoleon would attempt to turn his right flank and push through to Brussels by way of the road through Hal, and it was for that reason that he had detached the Dutch-Belgians and part of the 4th Division (numbering in all some 18,000 men) to the neighbourhood of Hal. These troops were some five miles from the field of battle, and at the outset Mitchell's brigade was called upon to hold in check any determined movement of the enemy in this direction until fresh dispositions could be made. Wellington had taken up a strong defensive position, with most of his troops drawn back below the actual crest, and with his reserves well concealed by the folds of the ground. Napoleon, on the other hand, deigned to little concealment, and sought to break down his opponents' defences by sheer weight of numbers. At a little before noon the fight commenced, Napoleon sending forward his brother, Prince Jerome, against the advanced post of Hougoumont, which, as the key of the position, was strongly held by the Allies. At the same time an artillery duel opened all along the line, and a tempest of shot and shell raged across the valley; but the defenders of Hougoumont, reinforced by the whole of Byng's British Guards, resisted every onslaught of the French columns, even though parties of the enemy established themselves close up to the buildings and set them on fire. Almost continuously during the afternoon the attacks on this vital point went on, and so numerous at times were the assailants that they were able to overlap it and threaten the right of the Allies' main line. Here Mitchell's men came into action, and assisted in forcing back the assailants.