Rotor Coordinates, Vector Trigonometry and Quadrilaterals, with Applications to the Four Bar Linkage
Journal for geometry and graphics, Tome 22 (2018) no. 2, pp. 257-268
Cet article a éte moissonné depuis la source Heldermann Verlag
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.
Classification :
51N20, 70A05, 97G60, 53A17
Mots-clés : Rational trigonometry, vector trigonometry, half-slope, four bar linkage, quadrilateral
Mots-clés : Rational trigonometry, vector trigonometry, half-slope, four bar linkage, quadrilateral
@article{JGG_2018_22_2_JGG_2018_22_2_a9,
author = {N. J. Wildberger },
title = {Rotor {Coordinates,} {Vector} {Trigonometry} and {Quadrilaterals,} with {Applications} to the {Four} {Bar} {Linkage}},
journal = {Journal for geometry and graphics},
pages = {257--268},
year = {2018},
volume = {22},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JGG_2018_22_2_JGG_2018_22_2_a9/}
}
TY - JOUR AU - N. J. Wildberger TI - Rotor Coordinates, Vector Trigonometry and Quadrilaterals, with Applications to the Four Bar Linkage JO - Journal for geometry and graphics PY - 2018 SP - 257 EP - 268 VL - 22 IS - 2 UR - http://geodesic.mathdoc.fr/item/JGG_2018_22_2_JGG_2018_22_2_a9/ ID - JGG_2018_22_2_JGG_2018_22_2_a9 ER -
%0 Journal Article %A N. J. Wildberger %T Rotor Coordinates, Vector Trigonometry and Quadrilaterals, with Applications to the Four Bar Linkage %J Journal for geometry and graphics %D 2018 %P 257-268 %V 22 %N 2 %U http://geodesic.mathdoc.fr/item/JGG_2018_22_2_JGG_2018_22_2_a9/ %F JGG_2018_22_2_JGG_2018_22_2_a9
N. J. Wildberger . Rotor Coordinates, Vector Trigonometry and Quadrilaterals, with Applications to the Four Bar Linkage. Journal for geometry and graphics, Tome 22 (2018) no. 2, pp. 257-268. http://geodesic.mathdoc.fr/item/JGG_2018_22_2_JGG_2018_22_2_a9/