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ten divisions without having more brigades and regiments. We have reports from five of these divisions:

Early' s division, 4 brigades, 3,500 men; D. R. Jones's division, 6 brigades, 2,430 men; A. P. Hill's division, 6 brigades, 3,524 men; McLaws's division, 5 brigades, 2,832 men; D. H. Hill's division, 5 brigades, 3008 men; total, 15.294 men.

From this number in twenty-six brigades of the forty in Lee's army, the single rule of three will give us 23,523 men as Lee's strength in infantry and artillery at the battle of Sharpsburg. This is, of course, on the supposition that the ratio in the twenty-six brigades was the same for the other twenty-four. Let us examine this by the light from the reports of the brigades themselves, so far as they are given:

Robert Ransom's, 1,600; Lawton's, 1,150; Wofford's, 854; Rodes's, 800; Barksdale, 800; Walker, 700; Trimble, 700; Hays, 550; Ben- ning, 400; Cobb, 250; Stonewall, 250; Evans, 209; Kemper, 350; Garnett, 200; total, 8,813.

The single rule of three gives the strength of the forty brigades on the ratio of these fourteen, to be 25,180. So the approximate re- sults reached from the reports of division and brigade commanders differ only by 1,557 men.

Now let us see what estimate we can get from the reports of regi- mental commanders, so far as given in this same Volume XIII. We have:

Eleventh Georgia regiment, 140; Eighteenth Georgia regiment, 176; Fifty-third Georgia regiment, 276; Fiftieth Georgia regiment, 100; Tenth Georgia regiment, 134; Second and Twentieth Georgia regi- ments, 400; First Texas regiment, 226; Sixteenth Mississippi regiment, 228; First South Carolina regiment, 106; Seventh South Carolina regi- ment, 268; Seventeenth South Carolina regiment, 50; Hampton Le- gion, 77; Nineteenth Virginia regiment, 150; Eighteenth Virginia regiment, 120; Fifty-sixth Virginia regiment, 80; Seventeenth Vir- ginia regiment, 55; Eighth Virginia regiment, 34 total. 2,629.

General Lee had one hundred and sixty-six regiments, and nine battalions of infantry at Sharpsburg, say in round numbers, one hun- dred and seventy regiments of infantry. From the ratio of the eighteen regiments just given, we have for the whole one hundred and seventy regiments, 24,829. This differs from the estimate by brigades only by two hundred and fifty-one men. If we put our artillery at two thousand, we will have Lee's strength at Sharpsburg about 27,000. This estimate has been arrived at by four independent

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