
06243734
j
2014d.00625
Dergiades, Nikolaos
Special inscribed trapezoids in a triangle.
Forum Geom. 13, 165167 (2013).
2013
Florida Atlantic University, Department of Mathematical Sciences, Boca Raton, FL
EN
G45
triangle
trapezoid
isotomic points
Zbl 1287.51018
http://forumgeom.fau.edu/FG2013volume13/FG201317index.html
The paper deals with the following construction generalizing work by {\it F. van Lamoen} [Forum Geom. 13, 149152 (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.
Antonio M. Oller (Zaragoza)