What is the meaning of the word "edge"?

Definitions:

a sharp side formed by the intersection of two surfaces of an object noun
- I rounded the edges of the box with the new design software.
a slight competitive advantage noun
- They had an edge on the competition.
provide with a border or edge verb
- edge the tablecloth with embroidery
provide with an edge verb
- edge a blade
the attribute of urgency in tone of voice noun
- My voice had an edge to it.
to advance slowly, as if by inches verb
- I edged towards the car.