\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2014d.00625}
\itemau{Dergiades, Nikolaos}
\itemti{Special inscribed trapezoids in a triangle.}
\itemso{Forum Geom. 13, 165-167 (2013).}
\itemab
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.
\itemrv{Antonio M. Oller (Zaragoza)}
\itemcc{G45}
\itemut{triangle; trapezoid; isotomic points}
\itemli{http://forumgeom.fau.edu/FG2013volume13/FG201317index.html}
\end