By the 22nd there is a further decided change. Brussels has been occupied, and the German forces are converging on Charleroi in, so far as we know, six or seven parallel columns. From Enghien, from Hal, from Nivelles, from La Hulpe, from Wavre, and from Jodoigne, the Kaiser's troops make their way into the country lying between Namur and Mons. We do not know, at this time, precisely where the British troops are, nor are we at liberty to guess the strength of the French in this district. We are soon to know, however. A battle rages for three or four days at Charleroi; the French retire in good order; and two thousand British casualties are reported. Our troops and the French troops have behaved with the utmost gallantry; but, so far as we can ascertain, they have been outnumbered by two to one--perhaps in an even greater proportion. Set the minute hand of a clock at eleven, and the hour hand at five. That will, roughly, indicate the position of the German army (with the Belgian, British, and French troops in an almost parallel line) about August 17th to 19th. Then bend the minute hand of the clock to nine. That will convey a correct impression of the broad sweep made by the northern wing of the German army within four or five days; and it must be acknowledged, unfortunately, that it swept the Allies in front of it. The result of the first stages of the Charleroi fighting made one or two things evident. In the first place, it was then known that the strength of the opposing German armies had been considerably under-estimated; they had succeeded in bringing up very strong reinforcements, with field guns and adequate munitions, through Liège. Secondly, it was seen that the French had not advanced northwards in sufficiently strong force. General Joffre had concentrated on Alsace and the Ardennes, rather than on the Namur front. The official statement published in Paris shows the French position at the commencement of the battle: An army starting from Northern Woevre and proceeding towards Neufchateau is attacking the German forces which have marched through the Grand Duchy of Luxemburg on the right bank of the Semois, and are going in a westerly direction. Another army, which had started from the region of Sedan, is crossing the Ardennes, and is attacking the German forces which are marching between the Lesse and the Meuse. A third army, from the region of Chimay, has begun an attack on the German right between the Sambre and the Meuse. This army is supported by the English army, proceeding from the Mons region. In this statement, as Mr. Ashmead-Bartlett remarked at the time, several very important facts stood forth clearly: (1) The French armies had never held the line of the Meuse and of the Sambre in any strength. (2) The German armies, before the commencement of the fighting at Charleroi, were in possession of the country contained within the triangle, of which Namur is the apex, between the Sambre and the Meuse.