'Edge' in the Bible

And David said unto all his servants that were with him at Jerusalem, Arise, and let us flee; for we shall not else escape from Absalom: make speed to depart, lest he overtake us suddenly, and bring evil upon us, and smite the city with the edge of the sword.

And there was great weeping in all the country when all the people went through; and the king himself was waiting in the Kidron valley and all the people went by him in the direction of the olive-tree on the edge of the waste land.