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• Rolling a Circle, r>0, inside a fixed Circle, R>0
• $\omega =\frac{R+r}{r}$
• Epicycloids: $\underset{―}{r}(t)=(R+r)\left(\begin{array}{c}\cos t\\ \sin t\end{array}\right)-r\left(\begin{array}{c}\cos \omega t\\ \sin \omega t\end{array}\right)=(R+r)\underset{―}{e}(t)-r\underset{―}{e}(\omega t)$
• Canonical Epicycloids: $\underset{―}{r}(t)=\omega \underset{―}{e}(t)-\underset{―}{e}(\omega t)$
• Hypothesis:

  The Evolute of an Epicycloid is an Epicycloid

  Generated: 31 Dec 1969, 21:00:00
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