An easy way to a theorem of Kira Adaricheva and Madina Bolat on convexity and circles
Kira Adaricheva and Madina Bolat have recently proved that if U0 and U1 are circles in a triangle with vertices A0, A1, A2, then there exist j ∈ {0, 1, 2} and k ∈ {0, 1} such that U1−k is included in the convex hull of Uk ∪ ({A0, A1, A2} \ {Aj}). We give a short new proof for this result, and we poi...
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| További közreműködők: | |
| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2017
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| Sorozat: | Acta scientiarum mathematicarum
83 No. 3-4 |
| Kulcsszavak: | Geometria - konvex, Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-016-307-7 |
| Online Access: | http://acta.bibl.u-szeged.hu/50058 |
| Tartalmi kivonat: | Kira Adaricheva and Madina Bolat have recently proved that if U0 and U1 are circles in a triangle with vertices A0, A1, A2, then there exist j ∈ {0, 1, 2} and k ∈ {0, 1} such that U1−k is included in the convex hull of Uk ∪ ({A0, A1, A2} \ {Aj}). We give a short new proof for this result, and we point out that a straightforward generalization for spheres fails. |
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| Terjedelem/Fizikai jellemzők: | 703-712 |
| ISSN: | 0001-6969 |