Circle Orthotomic

$\begin{figure}\begin{center}\BoxedEPSF{CircleOrthotomic.epsf scaled 800}\end{center}\end{figure}$

The Orthotomic of the Circle represented by

$\displaystyle x$	$\textstyle =$	$\displaystyle \cos t$	(1)
$\displaystyle y$	$\textstyle =$	$\displaystyle \sin t$	(2)

with a source at

$\displaystyle x$	$\textstyle =$	$\displaystyle x\cos(2t)-y\sin(2t)+2\sin t$	(3)
$\displaystyle y$	$\textstyle =$	$\displaystyle -x\sin(2t)-y\cos(2t)+2\cos t.$	(4)