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Journal for Geometry and Graphics 21 (2017), No. 1, 089--106
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

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.

Keywords: Rational trigonometry, vector trigonometry, rotor coordinates, half-slope.

MSC: 51N20; 70A05, 97G60

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