
Journal for Geometry and Graphics 21 (2017), No. 1, 089106 Copyright Heldermann Verlag 2017 Rotor Coordinates and Vector Trigonometry Norman J. Wildberger School of Mathematics and Statistics, University of New South Wales, Sydney 2052 NSW, Australia n.wildberger@unsw.edu.au 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 halfslope. Keywords: Rational trigonometry, vector trigonometry, rotor coordinates, halfslope. MSC: 51N20; 70A05, 97G60 [ Fulltextpdf (251 KB)] 