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# quadrantal versor

From *The Collaborative International Dictionary of English v.0.48*:

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 triangle having one side equal to a quadrant or arc of 90[deg]. Quadrantal versor, a versor that expresses rotation through one right angle. [1913 Webster] .

From *The Collaborative International Dictionary of English v.0.48*:

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]