The Steiner-Lehmus theorem and 'triangles with congruent medians are isosceles' hold in weak geometries
| Autor: | Pambuccian, Victor, Struve, Horst, Struve, Rolf |
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| Rok vydání: | 2015 |
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| Druh dokumentu: | Working Paper |
| Popis: | We prove that (i) a generalization of the Steiner-Lehmus theorem due to A. Henderson holds in Bachmann's standard ordered metric planes, (ii) that a variant of Steiner-Lehmus holds in all metric planes, and (iii) that the fact that a triangle with two congruent medians is isosceles holds in Hjelmslev planes without double incidences of characteristic $\neq 3$. |
| Databáze: | arXiv |
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