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Limaçon Evolute

\begin{figure}\begin{center}\BoxedEPSF{LimaconEvolute.epsf scaled 750}\end{center}\end{figure}

The Catacaustic of a Circle for a Radiant Point is the limaçon evolute. It has parametric equations

$\displaystyle x$ $\textstyle =$ $\displaystyle {a[4a^2+4b^2+9ab\cos t-ab\cos(3t)]\over 4(2a^2+b^2+3ab\cos t)}$  
$\displaystyle y$ $\textstyle =$ $\displaystyle {a^2b\sin^3 t\over 2a^2+b^2+3a b\cos t}.$  




© 1996-9 Eric W. Weisstein
1999-05-25