Pearls of Sluze

Cartesian equation:
yn = k(a - x)pxm



The curves with the equation given above, where n, p and m are integers, were studied by de Sluze between 1657 and 1698.

The name Pearls of Sluze was given to these curves by Blaise Pascal.

The particular curves drawn above have

n = 4, k = 2, a = 4, p = 3, m = 2.

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JOC/EFR/BS January 1997

The URL of this page is:
http://www-history.mcs.st-andrews.ac.uk/Curves/Pearls.html