Having been thus frustrated in all his efforts to cut off the communications of the American Army with the upper country as well as with New England and to draw General Washington to give him battle, in a general engagement -- in other words, having been completely outgeneraled by the Commander-in-chief of the forces whom his associates in arms had so contemptuously ridiculed -- General Howe determined to abandon the attempt ; ' and to withdraw his great and powerful command from Westchester-county, in search of laurels on other and more inviting fields. The two Armies continued in their respective lines, not more than a long cannon-shot from each other, 2 until the following Saturday night, [November 2,] when the American sentries heard what they supposed to havebeen the rumbling sound of moving artillery. 3 On Monday night, the fourth of November, however, the entire encampment of the enemy was broken up ; and, on the following morning, [Tuesday, November 5,] he made a sudden and unexpected movement from all the posts, in front of the American lines, which he had previously taken* -- as early as the preceding Monday, [October 28,] evidently preparatory to this movement, General Knyphausen, who had been left at New Eochelle, with the Second Division of the German troops, to keep open the communication between the Army and the Fleet, 5 had been ordered to leave the Regiment of Waldeckers, who formed a portion of his command, at that place, and to move with the remainder of the Division, six fresh Battalions of Hessians, towards Kingsbridge ; and, on Saturday, thesecond of November, he had occupied a position, on New- York-island, near that place : on Sunday, the third of November, the entire Army had been ordered to provide itself with forage, for three day's consumption: on the following day, [Monday, November 4,] Major-general Grant, with the Fourth Brigade of British troops, had been moved down to Mile-Square and Valentine's-hill ; General Agnew, with the Sixth Brigade of British troops, the same who had been moved to Mamaroneck, on the morning after the Queen's Rangers had been so '•'roughly handled" by Colonel Haslet and his command, 6 had been moved from that place to a bridge