DIJON, Sept. 26.--Although great interest is concentrated upon the northwest side of the line of of battle in France, it must not be forgotten that the east side is also of high importance. The operation of the French and German forces along the jagged frontier from north to south is of vital influence upon the whole field of war, and any great movement of troops in this direction affects the strategy of the Generals to command on the furthermost wings. It was a desire to know something of what had been happening in the east which led me to travel to the extreme right. Few correspondents have been in this part of the field since the beginning of the war. It is far from their own line of communications. For this reason there have been no detailed narratives of the fighting in Lorraine, and a strange silence has brooded over those battlefields. The spell of it has been broken only by official bulletins telling in a line or two the uncertain result of the ceaseless struggle for mastery. Here are regiments of young men who have the right already to call themselves veterans, for they have been fighting continually for six weeks in innumerable engagements, for the most part unrecorded in official dispatches. I had seen them answering the call to mobilization, singing joyously as they marched through the streets. Then they were smart fellows, clean shaven and spruce in their new blue coats and scarlet trousers. Now war has put its dirt upon them and seems to have aged them by fifteen years, leaving its ineffaceable imprint upon their faces. Their blue coats have changed to a dusty gray, but they are hard and tough for the most part, and Napoleon himself would not have wished for better fighting men. Now for the first time since the beginning of the war there will be a little respite on the Lorraine frontier, and in the wooded country of the two lost provinces there will be time to bury the dead which incumber its fields. Words are utterly inadequate to describe the horrors of the region to the east of the Meurthe, in and around the little towns of Blamont, Badonviller, Cirey-les-Forges, Arracourt, Chateau-Salins, Morhauge, and Baudrecourt, where for six weeks there has been incessant fighting. After the heavy battle of Sept. 4, when the Germans were repulsed with severe losses after an attack in force, both sides retired for about twelve miles and dug themselves into lines of trenches which they still hold; but every day since that date there has been a kind of guerrilla warfare, with small bodies of men fighting from village to village and from wood to wood, the forces on each side being scattered over a wide area in advance of their main lines. This method of warfare is even more terrible than a pitched battle.