Definition:Conchoid of Nicomedes

Definition
The conchoid of Nicomedes is the plane curve defined in Cartesian coordinates as:
 * $\paren {x - a}^2 \paren {x^2 + y^2} = b^2 x^2$

or in polar coordinates as:
 * $r = b + a \sec \theta$

for some real constants $a \in \R$, $b \in \R_{> 0}$.


 * ConchoidOfNicomedes.png

The above diagram illustrates the conchoid of Nicomedes for $b = 1$ and various values of $a$ from $0$ to $3$.