Quadrantal versor

Quadrantal versor
Versor Ver"sor, n. [NL., fr. L. vertere, versus, to turn. See {Version}.] (Geom.) The turning factor of a quaternion. [1913 Webster]

Note: The change of one vector into another is considered in quaternions as made up of two operations; 1st, the rotation of the first vector so that it shall be parallel to the second; 2d, the change of length so that the first vector shall be equal to the second. That which expresses in amount and kind the first operation is a versor, and is denoted geometrically by a line at right angles to the plane in which the rotation takes place, the length of this line being proportioned to the amount of rotation. That which expresses the second operation is a tensor. The product of the versor and tensor expresses the total operation, and is called a quaternion. See {Quaternion}. [1913 Webster]

{Quadrantal versor}. See under {Quadrantal}. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • Quadrantal versor — Quadrantal Quad*ran tal, a. [L. quadrantalis containing the fourth fourth part of a measure.] (Geom.) Of or pertaining to a quadrant; also, included in the fourth part of a circle; as, quadrantal space. [1913 Webster] {Quadrantal triangle}, a… …   The Collaborative International Dictionary of English

  • Versor — Ver sor, n. [NL., fr. L. vertere, versus, to turn. See {Version}.] (Geom.) The turning factor of a quaternion. [1913 Webster] Note: The change of one vector into another is considered in quaternions as made up of two operations; 1st, the rotation …   The Collaborative International Dictionary of English

  • Quadrantal — Quad*ran tal, a. [L. quadrantalis containing the fourth fourth part of a measure.] (Geom.) Of or pertaining to a quadrant; also, included in the fourth part of a circle; as, quadrantal space. [1913 Webster] {Quadrantal triangle}, a spherical… …   The Collaborative International Dictionary of English

  • Quadrantal triangle — Quadrantal Quad*ran tal, a. [L. quadrantalis containing the fourth fourth part of a measure.] (Geom.) Of or pertaining to a quadrant; also, included in the fourth part of a circle; as, quadrantal space. [1913 Webster] {Quadrantal triangle}, a… …   The Collaborative International Dictionary of English

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