File:Almagesto Introducción FIG B.png
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[edit]DescriptionAlmagesto Introducción FIG B.png |
Español: CONFIGURACIÓN DE MENELAO:
La figura representa la Configuración de Menelao de Alejandría que fue utilizada por Claudio Ptolomeo para resolver triángulos esféricos rectángulos. m, n, r y s son cada uno 1/4 de un gran círculo sobre la superficie de una esfera, intersectándose uno con otro como se muestra en la figura, y se dividen dentro de partes partes m1, m2, n1, n2, r1, r2, s1 y s2. Entonces m = m1 + m2, n = n1 + n2, r = r1 + r2 y s = s1 + s2 y m = n = r = s = 90°. En el Libro I Capítulo 10, Ptolomeo provee los teoremas:
Dado que estos teoremas los desarrolló Menelao, Neugebauer los nombra como "Teorema de Menelao I" y "Teorema de Menelao II" respectivamente, y según él, abreviándolos como "M.T.I" y "M.T.II". Ver en Introducción del Almagesto.
Teniendo los lados del triángulo m, r y n1, todos los puntos de las rectas s1 y s2 son "colineales" (que pertenecen a una misma recta) si y sólo si:
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Author | Fernando de Gorocica |
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