\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2016e.00736}
\itemau{Nam, Hyung Ju; Jalosjos, Kim Christian}
\itemti{Parametric representations of polynomial curves using linkage.}
\itemso{Parabola 52, No. 1, 9 p., electronic only (2016).}
\itemab
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 Yates' parabola. Basic algebra, geometry and trigonometry are used to find parametric representations of the loci of points in the system of linkages.
\itemrv{~}
\itemcc{G70 M50}
\itemut{lemniscate of Bernoulli; Peaucellier-Lipkin linkage for a straight line; Yates' parabola; parametric representations; geometry software; Cinderella; visualization; loci; curves; conic sections; mathematical applications; mechanic linkages; engineering; interconnected rods; fixed points; pivots; drivers; movers; markers}
\itemli{https://www.parabola.unsw.edu.au/files/articles/2010-2019/volume-52-2016/issue-1/vol52\_no1\_2.pdf}
\end