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Rolling a Circle, r, inside a fixed Circle, R [; \omega=\frac{R-r}{r} ;] Hypocycloid: [; \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{p}( \omega t) ;] The Evolute of a Hypocycloid is a Hypocycloid Generated: 31 Dec 1969, 21:00:00 0 of 0 images Base Path: /usr/local/ Glob Path: curves/Hypotrochoid/Hypotrochoid-Evolute-*-1.0-0.0-400.svg