Eine weitere Lösung der Thébault'schen Aufgabe. (A further solution of the Thébault conjecture.) (Q917025)
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scientific article; zbMATH DE number 4155324
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Eine weitere Lösung der Thébault'schen Aufgabe. (A further solution of the Thébault conjecture.) |
scientific article; zbMATH DE number 4155324 |
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Eine weitere Lösung der Thébault'schen Aufgabe. (A further solution of the Thébault conjecture.) (English)
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1989
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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.
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geometry of triangles
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geometric constructions
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conjecture of V. Thébault
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filling circles
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incircle
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