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Serpentine curve
Serpent-like curve From Wikipedia, the free encyclopedia
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A serpentine curve is a curve whose equation is of the form
![]() | This article includes a list of references, related reading, or external links, but its sources remain unclear because it lacks inline citations. (May 2024) |
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 .
Solving for x, we get
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History
Serpentine curves were studied by L'Hôpital and Huygens, and named and classified by Newton.
Visual appearance

External links
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