Parametric representations of polynomial curves using linkage. (English)

Parabola 52, No. 1, 9 p., electronic only (2016).

Summary: This paper shows the construction of linkages that draw parts of three well-known curves characterized by distances from points and lines: the lemniscate of Bernoulli, the Peaucellier-Lipkin linkage for a straight line, and Yatesâ€™ parabola. Basic algebra, geometry and trigonometry are used to find parametric representations of the loci of points in the system of linkages.