Esta circunferencia, también llamada de Feuerbach, de un triángulo es la que pasa por los puntos medios de los lados, los pies de las alturas y por los puntos medios entre el ortocentro y cada uno de los vértices.[br]Comenzaremos dibujando un triángulo cualquiera ABC, sobre el que obtenemos los puntos medios D, E y F, de cada uno de los lados.[br][br][img width=327,height=198]data:image/png;base64,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[/img][br]A continuación trazamos los pies de cada una de las alturas que son las proyecciones de cada uno de los[br]vértices sobre el lado opuesto. Estos puntos aparecen representados por G, H e I, en la imagen siguiente:[br][br][img width=425,height=230]data:image/png;base64,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[/img][br]Ahora marcamos el ortocentro como punto de intersección de las alturas que ya aparecen en la imagen[br]anterior. Cambiamos el nombre del ortocentro para nombrarlo como O.[br][br][img width=413,height=224]data:image/png;base64,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[/img][br][br]Por último, utilizando la herramienta [b]Punto medio o centro[/b], dibujamos los puntos medios de los segmentos que unen el ortocentro con cada uno de los vértices. Recordemos que no es necesario dibujar los segmentos.[br]Hemos obtenido los puntos J, K y L que aparecen representados en la imagen siguiente, en la que hemos ocultado las tres alturas.[br][br][img width=364,height=225]data:image/png;base64,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[/img][br][br]Con ayuda de la herramienta [b]Circunferencia por tres puntos [/b]al marcar tres puntos cualesquiera de los nueve anteriores (distintos de los vértices y del ortocentro), obtendremos la circunferencia de los nueve puntos.

Esta circunferencia tiene muchas propiedades, de las que vamos a enunciar alguna.[br]El radio de la circunferencia de los nueve puntos es la mitad del radio de la circunferencia circunscrita al[br]triángulo.[br]Podemos dibujar la circunferencia circunscrita al triángulo ABC, obteniendo a continuación el[br]centro de las dos circunferencias con ayuda de la herramienta [b]Punto medio o centro[/b].[br]Medimos la longitud de los radios utilizando la herramienta [b]Longitud o distancia[/b], aunque no haría falta ya que las medidas de estos segmentos, previamente dibujados, aparecen en la vista algebraica.[br][br]

La circunferencia de los nueve puntos es tangente a la circunferencia inscrita al triángulo.