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Cochleoid Inverse Curve

\begin{figure}\begin{center}\BoxedEPSF{CochleoidInverse.epsf scaled 900}\end{center}\end{figure}

The Inverse Curve of the Cochleoid

\begin{displaymath}
r={\sin\theta\over\theta}
\end{displaymath} (1)

with Inversion Center at the Origin and inversion radius $k$ is the Quadratrix of Hippias.
$\displaystyle x$ $\textstyle =$ $\displaystyle kt\cot\theta$ (2)
$\displaystyle y$ $\textstyle =$ $\displaystyle kt.$ (3)




© 1996-9 Eric W. Weisstein
1999-05-26