Six batteries, 80 men each,480
Leaving him 20 batteries,2,120
Making a total reduction of16,480
Leaving, of the three arms,41,680

In this estimate of Bragg's strength, I have placed all doubts in his favor, and I have no question that my estimate is considerably beyond the truth. General Sheridan, who has taken great pains to collect evidence on this point, places it considerably below these figures. But assuming these to be correct, and granting what is still more improbable, that Bragg would abandon all his rear posts, and entirely neglect his communications, and could bring his last man into battle, I next ask: What have we with which to oppose him?

The last official report of effective strength now on file in the office of the assistant adjutant-general, is dated from June 11th, and shows that we have in this department, omitting all officers and enlisted men attached to department, corps, division and brigade headquarters,—

1. Infantry—One hundred and seventy-three regiments; ten battalions sharp-shooters; four battalions pioneers; and one regiment of engineers and mechanics, with a total effective strength of seventy thousand nine hundred and eighteen.

2. Cavalry—Twenty-seven regiments and one unattached company, eleven thousand eight hundred and thirteen.

3. Artillery—Forty-seven and a half batteries field artillery, consisting of two hundred and ninety-two guns and five hundred and sixty-nine men,—making a general total of eighty-seven thousand eight hundred.

Leaving out all commissioned officers, this army represents eighty-two thousand seven hundred and sixty-seven bayonets and sabres. This report does not include the Fifth Iowa cavalry, six hundred strong, lately armed; nor the First Wisconsin cavalry; nor Coburn's brigade of infantry, now arriving; nor the two thousand three hundred and ninety-four convalescents, now on light duty in "Fortress Monroe."

There are detached from this force as follows,—

At Galatin,969
At Carthage,1,149
At Fort Donelson,1,485
At Clarkesville,1,138
At Nashville,7,292
At Franklin,900
At Lavergne,2,117
———
Total15,130

With these posts as they are, and leaving two thousand five hundred efficient men, in addition to the two thousand three hundred and ninety-four convalescents, to hold the works at this place, there will be left sixty-five thousand one hundred and thirty-seven bayonets and sabres to show, against Bragg's forty-one thousand six hundred and eighty.