zbMATH — the first resource for mathematics

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.

51M04 Elementary problems in Euclidean geometries
Full Text: Link
[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.