From The Collaborative International Dictionary of English v.0.48:
Edge \Edge\, v. t. [imp. & p. p. Edged; p. pr. & vb. n. Edging.] 1. To furnish with an edge as a tool or weapon; to sharpen. [1913 Webster]
To edge her champion's sword. --Dryden. [1913 Webster]
2. To shape or dress the edge of, as with a tool. [1913 Webster]
3. To furnish with a fringe or border; as, to edge a dress; to edge a garden with box. [1913 Webster]
Hills whose tops were edged with groves. --Pope. [1913 Webster]
4. To make sharp or keen, figuratively; to incite; to exasperate; to goad; to urge or egg on. [Obs.] [1913 Webster]
By such reasonings, the simple were blinded, and the malicious edged. --Hayward. [1913 Webster]
5. To move by little and little or cautiously, as by pressing forward edgewise; as, edging their chairs forwards. --Locke. [1913 Webster]
From The Collaborative International Dictionary of English v.0.48:
Edging \Edg"ing\, n. 1. That which forms an edge or border, as the fringe, trimming, etc., of a garment, or a border in a garden. --Dryden. [1913 Webster]
2. The operation of shaping or dressing the edge of anything, as of a piece of metal. [1913 Webster]
Edging machine, a machine tool with a revolving cutter, for dressing edges, as of boards, or metal plates, to a pattern or templet. [1913 Webster]