Pearls of Sluze

$\begin{figure}\begin{center}\BoxedEPSF{PearlsOfSluze.epsf scaled 700}\end{center}\end{figure}$

$\begin{displaymath} y^m=kx^n(a-x)^b. \end{displaymath}$

The curves with integral

, and

were studied by de Sluze between 1657 and 1698. The name ``Pearls of Sluze'' was given to these curves by Blaise Pascal

References

MacTutor History of Mathematics Archive. ``Pearls of Sluze.'' http://www-groups.dcs.st-and.ac.uk/~history/Curves/Pearls.html.