2) Fix a point A, not on a.

3) Fix a segment of length d.

4) Consider a point B, moving on a.

5) Construct the points X, Y , on AB, such that XB=BY = d.

6) The locus of X, Y , for B moving on a, is the conchoid of Nicomedes.

Modify the length of segment d, to see the various shapes this curve takes.

Its polar equation: r = a*sec(u) + k.

Its Cartesian equation: k^2*x^2 = (a-x)^2(x^2+y^2).

More General Conchoids: Replace the line a with an arbitrary curve and make the same constructions. F.e. a circle, a conic section, etc.

For the construction of the conchoid through the [implicit function tool] look at file: Nicomedes2.html .

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