SmtC: Show me the Code
Ole Peter Smith
Instituto de Matemática e Estatística
Universidade Federal de Goiás
http://www.olesmith.com.br

2nd Order
Deus não se preocupe das nossas dificuldades matemáticas.
Ele integra empiricamente.
Einstein.
< Curvature | Evolute | Fixed Length Vectors >
  • Curve of Centers of Curvature:
    [; \underline{c}(t)=\underline{r}(t) + \varphi(t) \underline{ \widehat{r} }'(t);]
  • Osculating Circle: [;\left( \underline{c}(t),\rho(t) \right);]
  • Ellipsis Evolute:
    [; \underline{c}(t)= \frac{a^2-b^2}{a} \left( \begin{array}{c} \cos^3(t)\\\sin^3(t) \end{array} \right);]

    Asteriod (an Epicycloid)

  • Super Ellipsis:
    [; \left(\frac{x}{a}\right)^\rho+\left(\frac{y}{b}\right)^\rho=1;]
Generated: 31 Dec 1969, 21:00:00
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Glob Path: curves/Ellipse/Numerical_Evolute-2.0-*-*-400.svg
< Curvature | Evolute | Fixed Length Vectors >
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