**Cartesian equation: **

*a*(*x* + *a*)(*x*^{2} + *y*^{2}) = *k*^{2}*x*^{2}

**Polar equation: **

*a*(*r* cos(*θ*) + *a*) = *k*^{2}cos^{2}(*θ*)

**Click below to see one of the Associated curves.**

Click THIS LINK to experiment interactively with this curve and its associated curves.

This curve was first constructed by René de Sluze in 1662.

René Francois Walter- Baron de Sluze was an important man in the church as well as a mathematician. He contributed to the geometry of spirals and the finding of geometric means. He also invented a general method for determining points of inflection of a curve.

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JOC/EFR/BS January 1997

The URL of this page is:

http://www-history.mcs.st-andrews.ac.uk/Curves/Conchoidsl.html