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Conchoid Of Nicomedes
Definition: A curve with polar coordinates, r=b+a*sec(x) studied by the Greek mathematician Nicomedes in about 200 BC, also known as the cochloid. It is the locus of points a fixed distance away from a line as measured along a line from the focus point (MacTutor Archive). Nicomedes recognized the three distinct forms seen in this family for 01. (For a=0, it obviously degenerates to a circle.)