1st. Weapons:--Cavalry broadswords of the largest size, precisely equal in all respects, and such as now used by the cavalry company at Jacksonville. 2d. Position:--A plank ten feet long, and from nine to twelve inches broad, to be firmly fixed on edge on the ground as the lines between us, which neither is to pass his foot over upon forfeit of his life. Next, a line drawn on the ground on either side of said plank and parallel with it, each at the distance of the whole length of the sword and three feet additional from the plank; and the passing of his own such line by either party during the fight shall be deemed a surrender of the contest. 3d. Time:--On Thursday evening at five o'clock, if you can get it so; but in no case to be at a greater distance of time than Friday evening at 5 o'clock. 4th. Place:--Within three miles of Alton, on the opposite side of the river, the particular spot to be agreed on by you. Any preliminary details coming within the above rules, you are at liberty to make at your discretion; but you are in no case to swerve from these rules, or to pass beyond their limits. In the course of the forenoon I met General Whiteside, and he again intimated a wish to adjust the matter amicably. I then read to him Mr. Lincoln's instructions to an adjustment, and the terms of the hostile meeting, if there must be one, both at the same time. He replied that it was useless to talk of an adjustment, if it could only be effected by the withdrawal of Mr. Shields's paper, for such withdrawal Mr. Shields would never consent to; adding, that he would as soon think of asking Mr. Shields to "butt his brains out against a brick wall as to withdraw that paper." He proceeded: "I see but one course--that is a desperate remedy: 'tis to tell them, if they will not make the matter up, they must fight us." I replied, that, if he chose to fight Mr. Shields to compel him to do right, he might do so; but as for Mr. Lincoln, he was on the defensive, and, I believe, in the right, and I should do nothing to compel him to do wrong. Such withdrawal having been made indispensable by Mr. Lincoln, I cut the matter short as to an adjustment, and I proposed to General Whiteside to accept the terms of the fight, which he refused to do until Mr. Shields' arrival in town, but agreed, verbally, that Mr. Lincoln's friends should procure the broadswords, and take them to the ground. In the afternoon he came to me, saying that some persons were swearing out affidavits to have us arrested, and that he intended to meet Mr. Shields immediately, and proceed to the place designated, lamenting, however, that I would not delay the time, that he might procure the interference of Governor Ford and General Ewing to mollify Mr. Shields. I told him that an accommodation, except upon the terms I mentioned, was out of question; that to delay the meeting was to facilitate our arrest; and, as I was determined not to be arrested, I should leave the town in fifteen minutes.