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Journal for Geometry and Graphics 22 (2018), No. 2, 257--268
Copyright Heldermann Verlag 2018

Rotor Coordinates, Vector Trigonometry and Quadrilaterals, with Applications to the Four Bar Linkage

Norman J. Wildberger
School of Mathematics and Statistics, University of New South Wales, Sydney 2052 NSW, Australia

The aim of this paper is to explain how the new theory of vector trigonometry which uses rotor coordinates instead of polar coordinates gives us new relations for quadrilaterals, and how these can be applied to the classical four bar linkages of kinematics.

Keywords: Rational trigonometry, vector trigonometry, half-slope, four bar linkage, quadrilateral.

MSC: 51N20; 70A05, 97G60, 53A17

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