Plates 3 and 4 represent the ordinary modes of encampment. Other modes or combinations of these two are adopted when the circumstances require.
First Mode.
In this mode the pieces are parked with diminished intervals; and the tents and horses are placed upon the flanks in lines parallel to each other and perpendicular to the front, so as to give the encampment a front of the same extent as the battery in line. The horses of each half battery are picketed together upon their appropriate flank. The team of the flank piece is placed at the end of the picket rope in front, and that of its caisson next. Then comes the teams of the next piece and caisson, and so on in the same order. The horses of the chiefs of pieces are with their appropriate teams. The teams of the other carriages are afterwards picketed in the same order with reference to their position in park, and finally the horses of the officers near the end of the rope.
When two or more batteries are encamped together, the interval between the camps is equal to that between two batteries in line; and the captain's tent is between those of his lieutenants.
In horse artillery the front of the encampment would be 97 yards, and the interval between the pieces 7. The horses of each detachment would be picketed after the teams of its caisson.
Second Mode.
In this mode the pieces are parked with full intervals, and the horses and tents are placed in parallel lines in the rear. When a single line of picket rope is not sufficient for the horses, a second is placed four yards in the rear of the first, and the horses face each other. The teams of the pieces and caissons are placed in the order of their pieces along the center of the first line, and those of the other carriages are placed upon their flanks opposite the half batteries to which they belong. If necessary, a part of them are placed in rear of the second line. The horses of the officers are at the extremities of the line.
In horse artillery, in which the second line is always necessary, the horses of the detachments are picketed together in their proper order along the center of that line, and the officers' horses at the extremities of the same.
In this mode of encampment, the intervals between the two adjoining batteries and the position of the captain's tent are subject to the same rules as in the other.
Instead of placing the harness in lines, as represented in the plates of the preceding modes of encampment, it may be placed upon the carriages and covered by tarpaulins, when it is possible to do so. The saddles and bridles of the riding horses may also be covered by placing them in the tents with the men.
The number of lines upon which a battery is parked varies according to the number of spare carriages attached; the battery of maneuver, which is composed of the pieces and their appropriate caissons, occupying the two front lines.

The information on this pages was taken from pages 44-45 of: French, Cpt. William H., Cpt. William F. Barry, and Cpt. Henry J. Hunt. Instruction for Field Artillery. New York: D. Van Nostrand, 1864. For more information, check out The Library.