conchoid

conchoid
Any of a family of curves defined as a locus of a point having a specific relationship with another point, a curve and a line.

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  • Conchoid — can refer to: Conchoid curve, an equation discovered by the mathematician Nicomedes Conchoidal fracture, a breakage pattern characteristic to certain glasses and crystals This disambiguation page lists articles associated with the same title. If… …   Wikipedia

  • conchoid — [käŋ′koid΄] n. [< Gr konchoeidēs(grammē), conchoid (line), lit., mussel like: see CONCH & OID] 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… …   English World dictionary

  • Conchoid — Con choid, n. [Gr. ?; ? shell + e i^dos form: cf. F. concho[ i]de.] (Geom.) A curve, of the fourth degree, first made use of by the Greek geometer, Nicomedes, who invented it for the purpose of trisecting an angle and duplicating the cube. [1913… …   The Collaborative International Dictionary of English

  • Conchoid of Dürer — Conchoid of Dürer, constructed by him The conchoid of Dürer, also called Dürer s shell curve, is a variant of a conchoid or plane algebraic curve. It is not a true conchoid. Contents 1 …   Wikipedia

  • Conchoid (mathematics) — Conchoids of line with common center. The fixed point O is the red dot, the black line is the given curve, and each pair of coloured curves is length d from the intersection with the line that a ray through O makes. In the blue case d is greater… …   Wikipedia

  • Conchoid of de Sluze — The Conchoid of de Sluze for several values of a The conchoid(s) of de Sluze is a family of plane curves studied in 1662 by René François Walter, baron de Sluze. The curves are defined by the polar equation . In cartesian coordinates, the curves …   Wikipedia

  • conchoid — /kong koyd/, n. Geom. a plane curve such that if a straight line is drawn from a certain fixed point, called the pole of the curve, to the curve, the part of the line intersected between the curve and its asymptote is always equal to a fixed… …   Universalium

  • conchoid — n. curve of the fourth degree invented for the purpose of trisecting an angle and duplicating the cube (Mathematics) …   English contemporary dictionary

  • conchoid — con·choid …   English syllables

  • conchoid — /ˈkɒŋkɔɪd/ (say kongkoyd), /ˈkɒn / (say kon ) noun a plane curve such that if a straight line be drawn from a certain fixed point, called the pole of the curve, to the curve, the part of the line intersected between the curve and its asymptote is …  

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