Parallel curve: Difference between revisions

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[[File:Offset-of-a-circle.svg|thumb|The parallel curves of a circle (red) are circles, too]]

A '''parallel''' of a [[curve]] is the [[envelope (mathematics)|envelope]] of a family of [[Congruence (geometry)|congruent]] [[circle]]s centered on the curve.

It generalises the concept of ''[[parallel (geometry)|parallel (straight) lines]]''. It can also be defined as a curve whose points are at a constant ''[[normal distance]]'' from a given curve.<ref name="Willson">{{cite book

*[[envelope (mathematics)|envelope]] of a family of congruent [[circle]]s centered on the curve.

It generalises the concept of [[parallel (geometry)|parallel lines]]. It can also be defined as a

*curve whose points are at a ''fixed normal distance'' from a given curve.<ref name="Willson">{{cite book

|title=Theoretical and Practical Graphics

|first1=Frederick Newton