Countermarch by files in front of the battalion, &c. In this case the front men become the pivots, on which every successive file turns, till the rear file gets upon the identical space of ground from whence the front file first wheeled.

Countermarch by files in rear of the Battalion. In this case the rear rank men become the pivots upon similar principles of movement. All countermarches of a battalion or greater body, must be made in ordinary time; of smaller divisions in general in quick time. The observations which have already been made, under the head [files], with respect to a solidity and quickness of movement in each wheeling, and to an unity of step, (allowing for an increased length of it in the wheeling men) are especially applicable to the countermarch by files.

The Countermarch of a battalion from both flanks on its centre, by files. In order to effect this movement and change of formation, the wings face outwards from the colors, which stand fast, and a serjeant remains at the point of each wing in order to mark the ground. At the word march, the right wing files successively close behind the rear rank, and the left wing before the front rank of the battalion, till they arrive at the points where each other stood. They then halt, cover, and front by word of command, looking to the colors which take their places. The commanding officer dresses the line if necessary.

The Countermarch of the battalion, from its centre, and on its centre, by files. The wings face inwards to the colors, which stand fast, and a serjeant remains to mark each flank. The whole then take three side steps to the right, by word of command, in order to disengage the centre. At the second word of command, the whole move on, and each file successively wheels into the centre as it arrives at and beyond the colors. As soon as each company is in the line from the colors to the flank serjeant, its leading officer fronts it. When the whole is formed, the colors countermarch, and every company dresses to the colors till otherwise ordered. It must be remembered, as a general rule, that in the countermarch from both flanks, no part of the battalion is fronted till the whole is on its ground. In the countermarch from the centre, the battalion begins instantly and successively to front by companies, as each is ready and on its ground.

The Countermarch by companies or subdivisions, on the centre of a battalion or line. Although this maybe done by files, it has been allowed, that on account of the unavoidable openings which always occur in file marching, a battalion, or larger body, will be best enabled to execute that movement with quickness and rapidity, by the march of columns of companies or subdivisions in front. To effect this object, the battalion is cautioned to countermarch from its centre by subdivisions; one or two central subdivisions having wheeled the half circle upon their centre point, or countermarched into the new line, so that the front rank stands precisely where the rear rank did: one of the wings then faces to the right about, and both wheel inwards by subdivisions: they march along the rear and front of the formed division, and successively wheel up into their respective places on each side of those already arranged in the line. The subdivisions which wheel up to the rear, successively mark time, when they reach their ground. The officers who lead them must be particularly attentive to their wheeling points, by being at their proper front rank when they halt their subdivisions. They would otherwise pass the rear, and disfigure the formation.

If it be intended that the front rank of the directing company or subdivision, should stand on the identical line which it occupied before the countermarch, it will be placed in that direction. In that case, after the subdivision has wheeled inwards, the wing which is to march in rear of it, must shift a few paces to the flank, in order to get clear of the rear ranks, and then proceed.

When one flank of a battalion or line is to occupy the spot where the other one stands, its most expeditious movement to arrive at it, will be along the prolongation of the line. If the flanks are to exchange places with each other, the countermarch on the centre, or on a flank, is the best method by which that exchange can be effected. The single battalion may do it by files, if its ground be confined, but a line must do it by countermarch of divisions in open column.

The Countermarch in column, is the inversion of the different files which constitute the several divisions, subdivisions, or sections of which the column is composed. By which inversion the front of the column is completely reversed.

To Countermarch a column, the right in front, is to change the front, or aspect of the leading company, subdivision, or section, and to place it in the rear of its perpendicular formation. After the caution has been given to countermarch by files the whole will face to the right, by word of command. Each company or leading officer or serjeant, will immediately quit the pivot, and place himself on the right of his company, subdivision, or section, whilst his covering serjeant advances to the spot which he has quitted, and faces to the right about. At the word march the whole move. The leader in the first instance wheels short round to the right, and proceeds, followed by his files of men, until he has placed his pivot front rank man close to his serjeant, who remains immoveable. As soon as the leading officer or serjeant of each company, subdivision, or section, has countermarched the extent of his front, he instantly gives the words mark time, so as to have it squared and closed in to the right, which is now become the pivot flank, and on which the officer or serjeant replaces the person that had advanced to ascertain the exact point of perpendicular formation; and who falls back behind the rear rank; and when dressed, halt. By means of this inversion of the files, the column will face to its rear, each company, subdivision, or section, having its original follower its head or leading object.

To Countermarch a column, the left in front, is to make the left company, subdivision, or section, which is now in the rear of the column, become the head of it. After the caution, to countermarch by files, has been given, at the word left face, the whole face to the left, the officer or serjeant moves to the left of his company, subdivision, or section, and the person who has covered him, moves to his place, and faces about. At the word march, the officer turns short to the left, and proceeds as before until he is fixed on the left, which is now become the pivot flank, as the column stands with its right in front. In all countermarches, the facing is always to that hand which is not the pivot, but which is to become such. The countermarch of each division, subdivision, or section, separately on its own ground, is an evolution of great utility on many occasions. It enables a column which has its right in front, and is marching in an alignement, to return along that same line, and to take such new positions in it as circumstances may require, without inverting or altering the proper front of the line. In many situations of forming from column into line, it becomes a previous operation which ought not to be dispensed with.