Loxodromic line

Loxodromic line
Loxodromic Lox`o*drom"ic, a. [Gr. ? slanting, oblique + ? a running, course; cf. F. loxodromique.] Pertaining to sailing on rhumb lines; as, loxodromic tables. [1913 Webster]

{Loxodromic curve} or {Loxodromic line} (Geom.), a line on the surface of a sphere, which always makes an equal angle with every meridian; the rhumb line. It is the line on which a ship sails when her course is always in the direction of one and the same point of the compass. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • loxodromic line — loxodromic curve or loxodromic line, a line on the surface of a sphere cutting all meridians at the same angle, such as that formed by the path of a ship whose course is constantly directed to the same point of the compass in a direction oblique… …   Useful english dictionary

  • Loxodromic — Lox o*drom ic, a. [Gr. ? slanting, oblique + ? a running, course; cf. F. loxodromique.] Pertaining to sailing on rhumb lines; as, loxodromic tables. [1913 Webster] {Loxodromic curve} or {Loxodromic line} (Geom.), a line on the surface of a sphere …   The Collaborative International Dictionary of English

  • Loxodromic curve — Loxodromic Lox o*drom ic, a. [Gr. ? slanting, oblique + ? a running, course; cf. F. loxodromique.] Pertaining to sailing on rhumb lines; as, loxodromic tables. [1913 Webster] {Loxodromic curve} or {Loxodromic line} (Geom.), a line on the surface… …   The Collaborative International Dictionary of English

  • loxodromic curve — noun : rhumb line * * * loxodromic curve or loxodromic line, a line on the surface of a sphere cutting all meridians at the same angle, such as that formed by the path of a ship whose course is constantly directed to the same point of the compass …   Useful english dictionary

  • loxodromic curve — Rhumb Rhumb, n. [F. rumb, Sp. rumbo, or Pg. rumbo, rumo, probably fr. Gr. ??? a magic wheel, a whirling motion, hence applied to a point of the compass. See {Rhomb}.] (Navigation) A line which crosses successive meridians at a constant angle;… …   The Collaborative International Dictionary of English

  • rhumb line — noun a line on a sphere that cuts all meridians at the same angle; the path taken by a ship or plane that maintains a constant compass direction • Syn: ↑rhumb, ↑loxodrome • Hypernyms: ↑line * * * ˈrəm|līn noun : a line on the surface of the earth …   Useful english dictionary

  • rhumb line — Rhumb Rhumb, n. [F. rumb, Sp. rumbo, or Pg. rumbo, rumo, probably fr. Gr. ??? a magic wheel, a whirling motion, hence applied to a point of the compass. See {Rhomb}.] (Navigation) A line which crosses successive meridians at a constant angle;… …   The Collaborative International Dictionary of English

  • rhumb line — A line on the surface of the earth that cuts all meridians at the same angle. It appears as a curved line on the surface of a sphere. Only one such line may be drawn through any two points. Although this is not the shortest distance, the… …   Aviation dictionary

  • rhumb line — /ˈrʌm laɪn/ (say rum luyn) noun a loxodromic curve; a curve on the surface of a sphere which cuts all meridians at the same angle. It is the path taken by a ship which maintains a constant compass direction …  

  • Möbius transformation — Not to be confused with Möbius transform or Möbius function. In geometry, a Möbius transformation of the plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − …   Wikipedia

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