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On a new generalization of the Droz-Farny line. (English) Zbl 1362.51010
Summary: We prove a new generalization of the Droz-Farny line theorem, which is based on some reflections about similar triangles.

MSC:
51M04 Elementary problems in Euclidean geometries
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References:
[1] J.-L. Ayme, A synthetic proof of the Droz-Farny line theorem, Forum Geom., 4 (2004) 219–224. · Zbl 1078.51019
[2] A. Droz-Farny, Question 14111, Educational Times, 71 (1899) 89–90. · JFM 30.0456.01
[3] F. M. van Lamoen, Hyacinthos messages 6140, 6144, December 11, 2002.
[4] C. Pohoata and Son Hong Ta, A short proof of Lamoen’s generalization of the Droz-Farny line theorem, Mathematical Reflections, 3 (2011). Cyril Letrouit: Department of Mathematics and Applications, ’Ecole Normale Sup’erieure (Paris), PSL Research University, 45 rue d’Ulm, 75005 Paris, France E-mail address: cyril.letrouit@ens.fr
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