Definition of Quadrantal versor. Meaning of Quadrantal versor. Synonyms of Quadrantal versor

Here you will find one or more explanations in English for the word Quadrantal versor. Also in the bottom left of the page several parts of wikipedia pages related to the word Quadrantal versor and, of course, Quadrantal versor synonyms and on the right images related to the word Quadrantal versor.

Definition of Quadrantal versor

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

Meaning of Quadrantal versor from wikipedia

- When the arc of a versor has the magnitude of a right angle, then it is called a right versor, a right radial or quadrantal versor. There are two special...
- trajectory, a Kepler orbit with eccentricity greater than 1 Hyperbolic versor, a versor parameterized by a hyperbolic angle Hyperbolic unit, a non-real quantity...
- (in first quadrant) north by east (NbE), northeast by north (NEbN), northeast by east (NEbE), and east by north (EbN); (in second quadrant) east by south...
- Hamilton called a quaternion of norm one a versor, and these are the points of elliptic space. With r fixed, the versors ear,0≤a<π{\displaystyle e^{ar},\quad...
- \exp xr=\cos x+r\sin x,} and the element is called a versor in quaternions. The set of all versors forms a 3-sphere in the 4-space. Complex number Euler's...
- plane into four right angles, called quadrants. The quadrants may be named or numbered in various ways, but the quadrant where all coordinates are positive...
- hyperbolas are brought into correspondence with S. The action of hyperbolic versor ebj{\displaystyle e^{bj}\!} then corresponds under this linear transformation...
- ≤ π, the versor ear=cos⁡(a)+r sin⁡(a){\displaystyle e^{ar}=\cos(a)+r\ \sin(a)} is on the unit 3-sphere of H. For a = 0 and a = π, the versor is 1 or −1...
- illustrations. The m****cript today comprises 340 leaves or folios; the recto and verso of each leaf total 680 pages. Since 1953, it has been bound in four volumes...
- 2012. "Christopher Andrew and the Strange Case of Roger Hollis - Quadrant Online". quadrant.org.au. 1 January 1970. Retrieved 28 September 2023. Saville,...