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.

Look at other dictionaries:

  • 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

  • The vector of a quaternion — In the 19th century, the vector of a quaternion written Vq was a well defined mathematical entity in the classical quaternion notation system. This article is written using classical nomenclature. In this article the word vector means the… …   Wikipedia

  • History of quaternions — This article is an indepth story of the history of quaternions. It tells the story of who and when. To find out what quaternions are see quaternions and to learn about historical quaternion notation of the 19th century see classical quaternions… …   Wikipedia

  • Classical Hamiltonian quaternions — For the history of quaternions see:history of quaternions For a more general treatment of quaternions see:quaternions William Rowan Hamilton invented quaternions, a mathematical entity in 1843. This article describes Hamilton s original treatment …   Wikipedia

  • Arthur Cayley — Infobox Scientist name = Arthur Cayley |242px image width = 242px caption = Portrait in London by Barraud Jerrard birth date = birth date|1821|8|16|mf=y birth place = Richmond, Surrey, UK residence = England nationality = British death date =… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”