The conchoid of Nicomedes is a conchoid in which the given line is a straight line; i.e., given a line C and a point A we pick a point Q on C, draw a line L through A and Q, and mark P and P' on L at some fixed distance from Q. The conchoid of Nicomedes is the locus of P and P' as Q moves along C. It has the polar equation r = a sec θ + k.
The conchoid of de Sluze is the curve with the Cartesian equation a(x - a)(x2 + y2) = k2x2.
Related category PLANE CURVES
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