conchoid definition

  • noun:
    • some of a family of curves understood to be the locus of a place, P, on a line from a given fixed point to confirmed curve, C, where in fact the length along the line from C to P remains constant.
    • A curve, associated with 4th degree, first made usage of because of the Greek geometer, Nicomedes, which created it for the purpose of trisecting an angle and duplicating the cube.
    • an airplane curve devised by one Nicomedes, probably when you look at the second century before Christ, and defined by him therefore that when a straight range be attracted from a certain fixed-point, labeled as the pole of bend, on bend, the part of the line intercepted amongst the curve and a fixed range (today called its asymptote) is always corresponding to a fixed length.
    • It is a curve of the fourth order as well as the 6th class, unless this has a cusp at P, when it is of the 5th course. It's a double point at the pole, and fulfills its asymptote at four successive points at infinity. It's two branches.
  • others:
    • just like conchoidal.

Related Sources

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