The customary formation of units in line of battle during the period was two ranks deep. Whether on parade...
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Or formed in line on the battlefield...
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Behind the rank and file, the sergeants and lieutenants formed along the rear of the line as "file closers" to keep order so far as possible...
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The length of a unit's battle line depended on the number of men present... called "rank and file." Regiments customarily formed with a fixed interval between them, allowing some space for them to maneuver.
In extreme cases, units might have to extend their line, into a single rank, with space between the men. Like Govan's Arkansas brigade at the Battle of Jonesboro, Georgia in September, 1864...
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Units normally formed "column" to move. They could break into column (called "ploying"), by companies... (there's 10 companies in a regiment)...
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Or by Platoons (half companies):
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But considering most of the countryside was more or less wooded and the roads narrow, most of the time the troops marched "by a flank" meaning the Line of battle just faced left or right and started down the road. But when they did so the men in the two ranks "doubled" so there were four men abreast. This way their line wouldn't straggle out, and could be quickly reformed when they "fronted" again, and went back into two rank in line of battle...
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Forming line of battle from a column was called "deploying."
When closing toward combat, the regiments often formed an "attack column" or "double column" which could quickly change direction, and allowed for quick deployment. In this formation, there were two companies in line in front, and the rest of the companies formed behind them. In this compact formation, the regiment could deploy quickly into line to open fire, etc. Here's a diagram of a regiment forming a column of attack/double column...
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Here's how a regiment in column of attack would deploy into line...
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Here's a diagram of the attack of General Newton's division on the Confederate lines at Kennessaw Mountain, Georgia, in 1864, with the various regiments advancing in the attack columns...
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Here's a painting by veteran Julian Scott of his regiment advancing into battle in attack column...
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Upon command the attack columns could deploy into the line of battle as necessary. The regimental color which is in the center of the line of battle, is the point on which the men form into line to the left and right... From the Atlanta Cyclorama, at right is a regiment in column deploying into line as it moves up to the line on the left...
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The formed regiments before coming into general action were generally covered in front by what was called a "skirmish line." This was a number of companies formed in a single rank, extended order with at least several feet between men, with the men some distance in front of their line... they taking cover, firing at will, etc. In this order the skirmishers can move easily and quickly over broken ground and woods, to locate the enemy positions, or cover their regiment from sudden attacks from in front, etc...
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Here's a photograph of a Union unit drilling... with a line of skirmishers in front of their line of battle...
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General Sherman explains they generally started out formed in something like the regular parade order, in line, as described in the manuals... and from there loosened their lines and alignment in passing over broken, wooded, uneven ground, etc... with the lines themselves little different than a heavy skirmish line...
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Customarily by designating to his subordinates points of terrain upon which to place one of their flanks, etc. On a road, a creek bank, near a house, etc.
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In line of battle, the whole front line of a regiment "dresses" on the color bearer in the center of the line. So whatever direction he faces, the line to his left and right faces the same direction. In combat, a commander could quickly change the direction of his line even in a desperate action, by physically placing the colors, and the men quickly dressing on the line on either side of the color bearer's position... Sometimes the officers did this themselves where there was no time to give orders to the color bearer, etc.
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Similarly, in a brigade of several regiments, the brigade commander will designate a regiment in his brigade's line, as the "battalion of direction"... which the others take direction from...
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A Division commander, with several brigades, would do the same, designating from among them a particular "brigade of direction" for the others to take their direction from in forming line of battle...
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Corps commanders would have several divisions, so they would choose one to be the "division of direction" from which the others took their general alignment...
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the line of battle of a single company, or a whole regiment, wheels to the right... the right acting like the pivot, turns slowly by short steps... the men to the left, have to step it out and move quickly with long steps...
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A military camp was laid out in a regular order, with the tents in rows, etc.
But on the march, the troops didn't carry tents, etc. (except for the small 2-man "pup tents" of the US Army. The troops instead bivouacked...
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To compare a regular camp in tents with a bivouac, here's a regularly laid out regimental camp in tents...
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Here's some CSA prisoners in "bivouac" shortly after their capture...
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Scott's military dictionary, 1863 can help.