Conchoid meaning

käŋkd
A curve traced by an end point of a segment of constant length located on a straight line that rotates about a fixed point, while the other end point moves along a straight line that does not go through the fixed point.
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(mathematics) Any of a family of curves defined as the locus of a point, P, on a line from a given fixed point to a given curve, C, where the distance along the line from C to P remains constant.

The conchoid of a circle with respect to a point on the circle is a cardioid if the fixed distance is equal to the diameter of the circle.

The Conchoid of Nicomedes is the conchoid of a straight line with respect to a point not on the line.

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Origin of conchoid

  • From Latin concha (“mussel”) (from Ancient Greek κόνχη (konchē)) +‎ -oid. Due to the curved patterns on a mussel shell.
    From Wiktionary