Este triángulo aparece al construir triángulos equiláteros sobre los lados de cualquier triángulo. Aunque[br]se atribuyen a Napoleón, parece poco creíble y no está documentado, que tuviera los conocimientos de geometría necesarios para poder obtener estos resultados. [br]Dado un triángulo cualquiera, se construye externamente triángulos equiláteros sobre sus lados, y se llama[br]triángulo exterior de Napoleón al triángulo que resulta de unir los centros de dichos triángulos equiláteros. [br]Dibujamos un triángulo cualquiera ABC, construyendo sobre cada uno de sus lados un triángulo equilátero, para lo que utilizaremos la herramienta [b]Polígono regular[/b].[br][br][br][img 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continuación obtenemos los centros de cada uno de los triángulos equiláteros. Para ello, podemos dibujar la circunferencia circunscrita a cada triángulo utilizando la herramienta [b]Circunferencia por tres puntos[/b], obteniendo a continuación su centro con ayuda de la herramienta [b]Punto medio o centro[/b].[br][br][img 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vez obtenidos los centros G, H e I de las tres circunferencias, dibujamos el triángulo cuyos vértices[br]sean los tres puntos anteriores.[br]Este triángulo se denomina de Napoleón.[br][br]Para comprobar que es equilátero podemos observar que sus lados son iguales, las medidas aparecen en[br]la vista gráfica y también podemos medir sus ángulos para comprobar que miden 60⁰.[br]