Circle Involute Pedal Curve

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

$\begin{eqnarray*} f&=&\cos t+t\sin t\\ g&=&\sin t-t\cos t \end{eqnarray*}$

with the center as the Pedal Point is the Archimedes' Spiral

$\begin{eqnarray*} x&=&t\sin t\\ y&=&-t\cos t. \end{eqnarray*}$