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Prolate Cycloid Evolute

\begin{figure}\begin{center}\BoxedEPSF{ProlateCycloidEvolute.epsf scaled 700}\end{center}\end{figure}

The Evolute of the Prolate Cycloid is given by

$\displaystyle x$ $\textstyle =$ $\displaystyle {a[-2b\phi+2a\phi\cos\phi-2a\sin\phi+b\sin(2\phi)]\over 2(a\cos\phi-b)}$  
$\displaystyle y$ $\textstyle =$ $\displaystyle {a(a-b\cos\phi)^2\over b(a\cos\phi-b)}.$  




© 1996-9 Eric W. Weisstein
1999-05-26