Serpentine curve
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
Serpentine curves were studied by L'Hôpital and Huygens, and named and classified by Newton.
Visual appearance
External links
- MathWorld – Serpentine Equation
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