The outer or furthest points of something; boundaries or borders where surfaces meet.
From Old English 'ecg' meaning blade or sharp side, related to Proto-Germanic 'agjo'. The meaning evolved from sharp cutting implements to any boundary or border line.
The word 'edge' shares its ancient root with 'axe' and 'acute' - all deriving from the concept of sharpness. In mathematics, graph theory uses 'edges' to describe connections between points, creating a beautiful metaphor where abstract relationships mirror physical boundaries.
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