Rotor Coordinates and Vector Trigonometry
Journal for geometry and graphics, Tome 21 (2017) no. 1, pp. 89-106
Cet article a éte moissonné depuis la source Heldermann Verlag
Rational trigonometry is a purely algebraic approach to trigonometry which uses quadrance and spread instead of distance and angle for metrical measurements. In this paper we introduce a variant called vector trigonometry, which is useful for planar applied engineering problems where vector quantities are involved. We derive basic trigonometric laws involving rotor coordinates of length and half-slope.
Classification :
51N20, 70A05, 97G60
Mots-clés : Rational trigonometry, vector trigonometry, rotor coordinates, half-slope
Mots-clés : Rational trigonometry, vector trigonometry, rotor coordinates, half-slope
@article{JGG_2017_21_1_JGG_2017_21_1_a8,
author = {N. J. Wildberger },
title = {Rotor {Coordinates} and {Vector} {Trigonometry}},
journal = {Journal for geometry and graphics},
pages = {89--106},
year = {2017},
volume = {21},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JGG_2017_21_1_JGG_2017_21_1_a8/}
}
N. J. Wildberger . Rotor Coordinates and Vector Trigonometry. Journal for geometry and graphics, Tome 21 (2017) no. 1, pp. 89-106. http://geodesic.mathdoc.fr/item/JGG_2017_21_1_JGG_2017_21_1_a8/