El estudio de la trigonometría es muy interesante. Sus primeras aplicaciones fueron en el ámbito de la astronomía, la navegación y la geodesia; casos en los que no es posible hacer mediciones de manera directa o donde las distancias son inaccesibles, como la distancia de la Tierra a la Luna o la medida del radio del Sol.
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) 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Historia y Didáctica de la Trigonometría. F. Flores Gil |
En esta oportunidad trataremos brevemente una aplicación de la trigonometría a la astronomía, llamada paralelaje trigonométrico.
A diferencia de las otras ciencias, la astronomía es enteramente observacional. No se pueden llevar a cabo experimentos sobre las cosas. No se pueden manipular los objetos para ver cómo funcionan. Con el fin de comparar los objetos que se ven desde la Tierra, primero se debe conocer cuan lejos están. Obviamente, usted no puede usar una cinta métrica o enviar naves espaciales a las estrellas y medir la distancia que recorrieron. El Rebote de radar de la superficie de las estrellas no funciona porque: (1) estrellas son bolas de gas caliente que brillan intensamente y tienen una superficie sólida para reflejar el haz del radar hacia atrás y (2) la señal del radar que tomaría años para llegar a sólo las estrellas más cercanas.
La forma preferida para medir grandes distancias es una técnica utilizada hace miles de años: mirar algo desde dos puntos de vista diferentes y determinar su distancia con la trigonometría. El objeto parece cambiar de posición en comparación con el fondo lejano, el día en que usted lo mira desde dos puntos de vista diferentes. El desplazamiento angular, llamado paralaje, es un ángulo de un triángulo y la distancia entre los dos puntos de vista es uno de los lados del triángulo. Relaciones trigonométricas básicas entre las longitudes de los lados de un triángulo y sus ángulos se utilizan para calcular las longitudes de todos los lados del triángulo. Este método se llama paralaje trigonométrico.
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) 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http://es.wikipedia.org/wiki/Archivo:Paralaje.png |
Extraido de:
(1) Historia y Didáctica de la Trigonometría. Francisco Flores Gil. 2008
(2) Notas de Astronomía de Nick Strobel. Visiten su sitio en www.astronomynotes.com para la versión actualizada y corregida.