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

Epicycloids & Epitrochoids
O bem que a violência faz, é - sempre - passageiro.
O mal que ela faz, é permanente.
Mahatma Gandhi
< Cycloids & Trochoids | Epicycloid | Epitrochoids >
  • Rolling a Circle, r>0, inside a fixed Circle, R>0
  • [; \omega=\frac{R+r}{r} ;]
  • Epicycloids:
    [; \underline{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) \underline{e}(t)- r\underline{e}( \omega t) ;]
  • Canonical Epicycloids:
    [; \underline{r}(t)= \omega \underline{e}(t)- \underline{e}( \omega t) ;]
  • Hypothesis:

    The Evolute of an Epicycloid is an Epicycloid

    Generated: 31 Dec 1969, 21:00:00
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    Glob Path: curves/Epitrochoid/2.0/1.0/0.0/400/*.svg
< Cycloids & Trochoids | Epicycloid | Epitrochoids >
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