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




© 1996-9 Eric W. Weisstein
1999-05-26