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===Differentiable arc=== {{redirect|Arc (geometry)|the use in finite projective geometry|Arc (projective geometry)|use in circles specifically|Circular arc}} In [[Euclidean geometry]], an '''arc''' (symbol: '''β''') is a [[connected set|connected]] subset of a [[Differentiable function|differentiable]] curve. Arcs of [[line (geometry)|lines]] are called [[line segment|segments]], [[ray (geometry)|rays]], or [[line (geometry)|lines]], depending on how they are bounded. A common curved example is an arc of a [[circle]], called a [[circular arc]]. In a [[sphere]] (or a [[spheroid]]), an arc of a [[great circle]] (or a [[great ellipse]]) is called a '''great arc'''.
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