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• 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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