Posiciones de Cavalieri entre dos triángulos de distinta o igual área
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José Alberto García Suárez [1]
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[1] Universidade de Santiago de Compostela
Universidade de Santiago de Compostela
Santiago de Compostela, España
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- Localización: Boletín de la Sociedad Puig Adam de profesores de matemáticas, ISSN 1135-0261, Nº. 104, 2017 (Ejemplar dedicado a: Profesor F. Javier Peralta Coronado), págs. 85-92
- Idioma: español
- Títulos paralelos:
- Cavalieri positions between two triangles of different or equal areas
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Resumen
The existence of Cavalieri positions between two triangles of equal areas was firstly studied by H. Eves and P. HaLmos, and their works were independently published in 1991. In the present article, the existence of Cavalieri positions is extended to the case of two triangles, T and T', of different areas, with a common vertex, 0, verifying the hypothesis condition below. Let a be the side opposite to O and let h be the height relative to a in the triangle T; let d be the side opposite to 0 and let k be the height relative to d in the triangle T'. Then, the following hypothesis condition is to be assumed:.... Moreover, analytical expressions that allow to determine the Cavalieri positions are given in case of equality of areas of both triangles.
