Stärk, R. Eine weitere Lösung der Thébault’schen Aufgabe. (A further solution of the Thébault conjecture.). (German) Zbl 0704.51013 Elem. Math. 44, No. 5, 130-133 (1989). Let T be an interior point on the side AB of a triangle ABC. A circle k is said to be a filling circle if k touches AB, CT, and the circumcircle of ABC. The author gives a nice synthetic proof for the conjecture of V. Thébault that the centres of the both filling circles and the centre of the incircle to ABC are collinear points. Reviewer: E.Hertel Cited in 3 Documents MSC: 51M15 Geometric constructions in real or complex geometry Keywords:geometry of triangles; geometric constructions; conjecture of V. Thébault; filling circles; incircle PDFBibTeX XMLCite \textit{R. Stärk}, Elem. Math. 44, No. 5, 130--133 (1989; Zbl 0704.51013) Full Text: EuDML