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Eine weitere Lösung der Thébault’schen Aufgabe. (A further solution of the Thébault conjecture.). (German) Zbl 0704.51013

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

MSC:

51M15 Geometric constructions in real or complex geometry
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