2015/11/29 by S. C. Power, Power, S. C.
Engineering · #Robotic Mechanisms and Dynamics #Structural Analysis and Optimization #Dynamics and Control of Mechanical Systems
paper · pdf · doi:10.48550/arxiv.1511.09002
An elementary proof is given to show that a parametrised algebraic curve in the plane may be traced out, in the sense of A. B. Kempe, by a finite pinned linkage. Additionally it is shown that any parametrised continuous curve γ: [0,1] to R2 may be traced out by an infinite linkage where the valencies of the joints is uniformly bounded. We also discuss related Kempe universality theorems and give a novel correction of Kempe's original argument.