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Sinusoidal Spiral Pedal Curve

The Pedal Curve of a Sinusoidal Spiral

\begin{displaymath}
r=a^{(1/n)} [\cos(nt)]^{1/n}
\end{displaymath}

with Pedal Point at the center is another Sinusoidal Spiral
$\displaystyle x$ $\textstyle =$ $\displaystyle \cos^{1+1/n}(nt)\cos[(n+1)t]$  
$\displaystyle y$ $\textstyle =$ $\displaystyle \cos^{1+1/n}(nt)\sin[(n+1)t].$  




© 1996-9 Eric W. Weisstein
1999-05-26