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January 31, 2008

Serpentine curve Base curve

Filed under: Uncategorized — admin @ 7:55 pm

A serpentine curve is a curve whose equation is of the form
<math>x^2y+aby-a^2x=0</math>, where <math>ab > 0</math>. Equivalently, it has a parametric representation <math>x=a\cot(t), y=b\sin (t)\cos(t)</math>. Serpentine curves were studied by L’Hopital and Huygens, and named and classified by Newton.


External links

  • MathWorld - Serpentine Equation
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