The noun edge has 6 senses (first 6 from tagged texts)
1. (28) edge, border -- (the boundary of a surface)
2. (6) edge -- (a sharp side formed by the intersection of two surfaces of an object; "he rounded the edges of the box")
3. (5) boundary, edge, bound -- (a line determining the limits of an area)
4. (2) edge, sharpness -- (the attribute of urgency; "his voice had an edge to it")
5. (2) edge -- (a slight competitive advantage; "he had an edge on the competition")
6. (1) edge, margin -- (a strip near the boundary of an object; "he jotted a note on the margin of the page")
Overview of verb edge
The verb edge has 4 senses (first 1 from tagged texts)
1. (3) edge, inch -- (advance slowly, as if by inches; "He edged towards the car")
2. border, edge -- (provide with a border or edge; "edge the tablecloth with embroidery")
3. border, adjoin, edge, abut, march, butt, butt against, butt on -- (lie adjacent to another or share a boundary; "Canada adjoins the U.S."; "England marches with Scotland")