Of Colonel Rimington's activities prior to his meeting with General Rundle we barely know the outline. On the 13th of July his troops displayed an immense amount of dash in a smart set-to with some Boers who, with their convoy, were on the north-east of Gambokshoekberg. The enemy's rearguard covering the march was forced from its position by the rapid rush of the mounted troops, who scattered the band, killed six of the foe, took ten prisoners, and 2000 head of cattle, which prizes were handed over to General Rundle on the occasion of the meeting near Vrede, of which we know. His hands free, Colonel Rimington then proceeded from Vrede to Heilbron, skirmishing by the way. From this time till August he operated in the triangle between Heilbron, Lindley, and Kroonstad, engaging in the same energetic system of night marching and surprise which was being everywhere vigorously carried forward, with first-rate results. Fourteen Boers killed, 36 prisoners, 24 voluntary surrenders, 68 ox-waggons, 52 vehicles, 5300 cattle was an excellent sum-total to bear witness to the work accomplished at that time. General Bullock meanwhile, in July, had been sweeping the neighbourhood of Villiersdorp and Cornelia for the purpose of brushing Boers into the arms of General Elliot during the move of that officer from Springfield to Heilbron. But these wary Dutchmen were wide-awake and not to be entrapped. He therefore returned to Heidelberg, where General Spens took over command. Flying columns under Colonel Jenner and Major Gough now went to work with a will, and each column had the satisfaction of arriving at Heilbron in August, having captured a convoy apiece with the total loss of one man killed and four wounded. In the course of General Spens' sweep from Heidelberg to Heilbron his troops brought in 42 prisoners, 110 carts, 5600 cattle, and the supplies before named. In August he left Heilbron and renewed his activities in the direction of Kroonstad. TRANSVAAL, S.W.--OPERATIONS OF GENERAL FETHERSTONHAUGH--CLEARING THE MAGALIESBERG--JULY