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

2nd Order
A seriedade dos acontecimentos da minha época.
Me enche de esperança.
Karl Marx
< Determinant | Curvature | Evolute >
  • [;\underline{t}(t);] of Fixed Length:
    [; |\underline{t}(t)|=1 \Rightarrow \underline{t}'(t) \perp \underline{t}(t) \Leftrightarrow \underline{t}'(t) \parallel \underline{n}(t) ;]
  • Curvature Vector:
    [; \underline{t}'(t) = \kappa(t) \underline{n}(t) ;]
  • Curvature:
    [; \kappa(t)=\frac{ D(t) }{v(t)^3};]
  • Curvature Ratio:
    [; \rho(t)=1/\kappa(t) ;]
  • Dimensionless Factor:
    [; \varphi(t) = \frac{v(t)^2}{D(t)} ;]
  • Center of Curvature:
    [; \underline{c}(t)=\underline{r}(t) + \varphi(t) \underline{ \widehat{r} }'(t);]
  • Osculating Circle: [; C\left( \underline{c}(t),\rho(t) \right);]

    Best Circular Fit

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< Determinant | Curvature | Evolute >
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