Definition of edge:

part of speech: verb

To sharpen; to border or fringe; to incite; to provoke; to move gradually.

part of speech: noun

The extreme border of anything; brink; verge; the thin cutting part of a knife, & c.; keenness; sharpness of mind or appetite.

part of speech: past participle / adjective

Furnished with an edge or border; sharp; keen.