As was noted, the 10th company of a regiment was its' left-most.
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From Hardee's rifle and light infantry tactics, a "change of front perpendicularly to the rear" on the left (10th) company would have been done in something like this manner; Note that these sketches are VERY crude and just to show the process...
The colonel tells the captain of the 10th Company, who has it "about-face" (turn rearward), and wheel to the right on fixed pivot so far as the colonel requires to fix the axis of the new line...
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When the 10th Company is on the new line approved by the colonel, it halts and faces front:
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By this method, the new line can be at ANY angle to the rear of the existing one...along the extension of the new line of the 10th company...
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The colonel next communicates to the rest of the regiment to form rearward on the 10th company...
The order would be something like
"Change of front to the rear, on tenth company…Battalion, about—Face.
(At which all companies but the 10th face about, or to their rear.)
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Then,
"By company, right half wheel. March (or double-quick—march…)
Each captain positions in front and center, and then each wheel right…
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When the regimental commander judges they have wheeled enough, he orders, "
Forward, March…"
at which they cease to wheel, and march forward toward the new line of battle…
The second company in line from the left (the 9th), arriving opposite the right of the 10th, turns right (a form of rapid wheel), and halts before coming on line. As all its files form, it is faced about, and dresses on the right of the 10th company.
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Each successive company executes the above, and "fronts" (turns to their correct front) as it arrives opposite the right of the company preceding; reforming the line of battle in the new direction, and to the rear of their former one.
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Compare the above with the accounts of the 3rd at Antietam, and their movement becomes evident... it was necessary as they were receiving a flanking fire from their right, and turned to face it, as Col. De Rossett states:
Per Col. De Rossett of the 3rd NC:
" We were in position near the 'East Wood,' having gone into action through the yard of the Mumma house (which was set fire to by my orders), and for an hour were fighting three lines of Federals, when a division, in column of battalion, came up, and, halting
within one hundred yards of my right company, the right of the brigade, opened fire, enfilading my command and causing the heavy loss sustained in so short a time. This necessitated a prompt change of front on my part, and while this was being done I was disabled and carried off the field, not, however, before I had the satisfaction of seeing my brave men held well in hand by my senior captain, S. D. Thruston, who was soon after promoted."
From Century Magazine, 1887.
Col De Rossett account...
And a comment from Capt. Thruston:
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D.H. Hill, North Carolina...
Capt. J.C. Key's account from among the Georgians to the left of the North Carolinians of the Ripley-Doler Brigade at Sharpsburg, from Confederate Veteran:
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and...
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Confederate Veteran, "Georgians and Tar Heels at Sharpsburg..."
Best,
J. Marshall,
Hernando, FL.