Distances among the Feuerbach points. (English) Zbl 1362.51009
Summary: We find simple formulas for the distances from the Feuerbach points of a triangle to the vertices, and among themselves.
MSC:
| 51M04 | Elementary problems in Euclidean geometries |
| 51M15 | Geometric constructions in real or complex geometry |
References:
| [1] | N. Altshiller-Court, College Geometry, Dover Reprint, 2007. |
| [2] | S. N. Kiss, A distance property of the Feuerbach point and its extension, Forum Geom., 16 (2016) 283–290. · Zbl 1347.51004 |
| [3] | M. J. G. Scheer, A simple vector proof of Feuerbach’s theorem, Forum Geom., 11 (2011) 205– 210. S. Nagydobai Kiss: ’Constatin Brancus\c{}i’ Technology Lyceum, Satu Mare, Romania E-mail address: d.sandor.kiss@gmail.com · Zbl 1284.51018 |
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