Coordenadas cilíndricas y esféricas

Coordenadas cilíndricas y esféricas
Ya se ha visto que algunas gráficas bidimensionales son más fáciles de representar en coordenadas polares que en coordenadas rectangulares. Algo semejante ocurre con las superficies en el espacio. En esta sección se estudiarán dos sistemas alternativos de coordenadas[br]espaciales. El primero, el sistema de coordenadas cilíndricas, es una extensión de las[br]coordenadas polares del plano al espacio tridimensional.[br][br][img]data:image/png;base64,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[/img][br][br]Para convertir coordenadas rectangulares en coordenadas cilíndricas (o viceversa), hay que[br]usar las siguientes fórmulas, basadas en las coordenadas polares.[br][br][img]data:image/png;base64,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[/img][br][br][img]data:image/png;base64,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[/img]

Information: Coordenadas cilíndricas y esféricas