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 The paper is hereby withdrawn.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]

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