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This article is about the mathematical concept. For the design feature, see
Serpentine shape.
A serpentine curve is a curve whose equation is of the form
Equivalently, it has a parametric representation
- ,
or functional representation
The curve has an inflection point at the origin. It has local extrema at , with a maximum value of and a minimum value of .
History[edit]
Serpentine curves were studied by L'Hôpital and Huygens, and named and classified by Newton.
Visual appearance[edit]
External links[edit]