**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.**

If your browser can handle JAVA code, click HERE 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.

JOC/EFR/BS January 1997

The URL of this page is:

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