On Menelaus’ and Ceva’s theorems in Nil geometry
In this paper we deal with Nil geometry, which is one of the homogeneous Thurston 3-geometries. We define the “surface of a geodesic triangle” using generalized Apollonius surfaces. Moreover, we show that the “lines” on the surface of a geodesic triangle can be defined by the famous Menelaus’ condit...
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| Format: | Article |
| Language: | English |
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Sciendo
2023-11-01
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| Series: | Acta Universitatis Sapientiae: Mathematica |
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| Online Access: | https://doi.org/10.2478/ausm-2023-0008 |