arc

The word 'arc' traces a direct path from antiquity to modern geometry and physics. It originates from the Latin 'arcus', signifying a bow, an arch, or a curve, a term itself derived from the Proto-Indo-European root h₂erkʷ-, associated with holding and containment. This ancient connection is logical, as a bow holds potential energy before releasing an arrow along a curved trajectory. Over time, the word shed its specific association with weaponry, and its core semantic essence—'a curve'—was abstracted and formalized in mathematics to describe any segment of a curved line. Thus, the modern term retains the elegant simplicity of its ancestral form and meaning.

The word 'arc' is a simplex word. It entered English from Old French, which derived it from the Latin 'arcus', meaning a bow, arch, or anything curved. The Latin term is traced back to the Proto-Indo-European root h₂erkʷ-, meaning 'to hold, contain, guard', which also relates to the concept of a bow as a tool for holding and releasing an arrow.