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Cardioid Evolute

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


$\displaystyle x$ $\textstyle =$ $\displaystyle {\textstyle{2\over 3}}a +{\textstyle{1\over 3}}a\cos\theta(1-\cos\theta)$  
$\displaystyle y$ $\textstyle =$ $\displaystyle {\textstyle{1\over 3}} a\sin\theta(1-\cos\theta).$  

This is a mirror-image Cardioid with $a'=a/3$.




© 1996-9 Eric W. Weisstein
1999-05-26