Long medians and long angle bisectors
| Autor: | Mostafa Hayajneh, Sadi Abu-Saymeh, Mowaffaq Hajja, Yaqeen Al-Momani |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | The Mathematical Gazette. 105:397-409 |
| ISSN: | 2056-6328 0025-5572 |
| DOI: | 10.1017/mag.2021.106 |
| Popis: | Following Euler, we denote the side lengths and angles of a triangle ABC by a, b, c, A, B, C in the standard order. Any line segment joining a vertex of ABC to any point on the opposite side line will be called a cevian, and a cevian AA′ of length t will be called long, strictly long, or balanced according as t ≥ a, t > a or t = a. If A′ lies strictly between B and C, AA′ is called an internal cevian. This convention regarding cevians is not universal, and it is, for example, in a heavy contrast with that in [1, p. 73]. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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