id: 06243734
dt: j
an: 2014d.00625
au: Dergiades, Nikolaos
ti: Special inscribed trapezoids in a triangle.
so: Forum Geom. 13, 165-167 (2013).
py: 2013
pu: Florida Atlantic University, Department of Mathematical Sciences, Boca
Raton, FL
la: EN
cc: G45
ut: triangle; trapezoid; isotomic points
ci: Zbl 1287.51018
li: http://forumgeom.fau.edu/FG2013volume13/FG201317index.html
ab: The paper deals with the following construction generalizing work by {\it
F. van Lamoen} [Forum Geom. 13, 149‒152 (2013; Zbl 1287.51018)]:
Given an arbitrary point $A$, on the side $BC$ of a given triangle
$ABC$, construct on $BC$ points $P$ and $P’$ isotomic with respect to
$B$ and $C$ such that the parallels from $P$, $P’$ to $AA’$ meet
$AB$ and $AC$ at points $Q$, $Q’$ such that, in the trapezoid
$QPP’Q’$ it holds that $QQ’=PQ’P’Q’$. The authors show how
to perform this construction and investigate some interesting
properties. Just like in van Lamoen’s work, some background or
motivation would have been highly appreciated.
rv: Antonio M. Oller (Zaragoza)