Utilizaremos las posibilidades que nos dan el rastro y la animación automática para construir las curvas denominadas epicicloides, para las que utilizaremos los deslizadores para controlar las velocidades de[br]las animaciones.[br][br]Dibuja una circunferencia c1, ocultando los puntos que utilizados para su construcción. Sobre ella dibuja un punto C; a continuación, dibuja una nueva circunferencia c2 con centro en C y radio fijo.[br][br]Sobre esta nueva circunferencia c2 dibuja un punto D. Define un deslizador a que comienza en 2 y llega[br]hasta 10 con incremento de una unidad.[br][br]Activa las animaciones automáticas de los puntos C y D, y entra en las propiedades del punto D y escribe el valor a del deslizador como velocidad de animación del punto D. [br][br]Observa lo que ocurre con el punto D. Cambia de color el punto D y activa su rastro.[br][br]Y finalmente comprueba las figuras que obtienes moviendo el deslizador a que define la velocidad de la animación del punto D.[br][br]Obtendrás algunas curvas similares a las imágenes siguientes:[br][br][img width=215,height=204]data:image/png;base64,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[/img]              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[/img][br]