conchoid
Noun

conchoid (plural conchoids)

  1. (mathematics, geometry) Any of a family of curves defined as the locus of points p, such that each p is on a line that passes through a given fixed point P and intersects a given curve, C, and the distance from p to the point of intersection with C is a specified constant (note that for nontrivial cases two such points p satisfy the criteria, and the resultant curve has two parts).
    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.
    • 1815, Charles Hutton, Pappus, entry in A Philosophical and Mathematical Dictionary, Volume 2, page 147 ↗,
      He next treats of the properties of the Conchoid, which Nicomedes invented for doubling the cube; applying it to the solution of certain problems concerning Inclinations, with the finding of two mean proportionals, and cubes in any proportion whatever.
  2. (geology) A conchoidal fracture in rock.
    • 1948, Tennessee Valley Authority, The Hiwassee Valley Projects, Technical Report, Issue 5, Volume 2, page 359 ↗,
      Conchoids of sound rock, from a few feet to 20 or more feet in diameter, entirely surrounded by comparatively thin layers of weathered material, were frequently encountered, sometimes in adjacent series.
Related terms Translations
  • Russian: конхо́ида



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