id: 06604803
dt: j
an: 2016e.00736
au: Nam, Hyung Ju; Jalosjos, Kim Christian
ti: Parametric representations of polynomial curves using linkage.
so: Parabola 52, No. 1, 9 p., electronic only (2016).
py: 2016
pu: AMT Publishing, Australian Mathematics Trust, University of Canberra,
Canberra; School of Mathematics \& Statistics, University of New South
Wales, Sydney
la: EN
cc: G70 M50
ut: lemniscate of Bernoulli; Peaucellier-Lipkin linkage for a straight line;
Yatesâ€™ parabola; parametric representations; geometry software;
Cinderella; visualization; loci; curves; conic sections; mathematical
applications; mechanic linkages; engineering; interconnected rods;
fixed points; pivots; drivers; movers; markers
ci:
li: https://www.parabola.unsw.edu.au/files/articles/2010-2019/volume-52-2016/issue-1/vol52_no1_2.pdf
ab: 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.
rv: