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Trident of Descartes

\begin{figure}\begin{center}\BoxedEPSF{trident_descartes.epsf}\end{center}\end{figure}

The plane curve given by the equation

\begin{displaymath}
(a+x)(a-x)(2a-x)=x^3-2ax^2-a^2x+2a^3 = axy
\end{displaymath}


\begin{displaymath}
y = {(a+x)(a-x)(2a-x)\over ax}.
\end{displaymath}

The above plot has $a=2$.




© 1996-9 Eric W. Weisstein
1999-05-26