Sándor Nagydobai Kiss,
On the cyclic quadrilaterals with the same Varignon
parallelogram,
Forum Geometricorum, 18 (2018) 103--113.
Abstract.
The circumcenters and anticenters of the quadrilaterals cyclic PQRS with the
same Varignon parallelogram describe an hyperbola Γ. We propose the characterization of this
hyperbola. The vertices of PQRS one by one move also on
hyperbolas which are the translations of hyperbola Γ.
Note of
Retraction
The author and the editor regret an oversight that this paper has significant
overlap with the prior publication of Michel Bataille,
Cyclic quadrilaterals with prescribed Varignon parallelogram, Forum Geom., 7
(2007) 199--206. The paper is hereby withdrawn.
[ps file][pdf][Note
of retraction]