Wolfram Demonstrations Project
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Rolling One Parabola on Another

The focus of a parabola that rolls around another fixed identical parabola describes a straight line, which is the directrix of the fixed parabola.

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Reference
[1] J. Bryant and C. Sangwin, How Round Is Your Circle?: Where Engineering and Mathematics Meet, Princeton, NJ: Princeton University Press, 2008, pp. 44–45.

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 Izidor Hafner
"Rolling One Parabola on Another"
 http://demonstrations.wolfram.com/RollingOneParabolaOnAnother/
 Wolfram Demonstrations Project
 Published: August 15, 2012
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