[i]Investigar cuantas circunferencias se pueden dibujar que pasen por un punto. ¿Cuántas se podrán dibujar que pasen por dos puntos? ¿Cuántas por tres puntos? ¿Y por cuatro?[/i][br][br]Comenzamos dibujando un punto A para plantear cuántas circunferencias podemos construir que pasen por A. [br]Una vez dibujado el punto A, podemos seleccionar la herramienta [b]Circunferencia (centro-punto)[/b][url=https://wiki.geogebra.org/es/Herramienta_de_Circunferencia_(centro-punto)][img width=24,height=24]data:image/png;base64,R0lGODlhGAAYAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAwASABIAhAAAAAAAAAAACAAAHQAAOAAAPAAANwAAPwAAOQAAKgAAOwAALgAAPgAAPQAA7gAA9gAA8AAA9wAA8gECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwVBICCOQBCUZDqe5MmmrwoIRCHfgPMceEpAEQSqJ1IQBjEisSEzqRQSCVMJaESbyeKU2st2RV5VLNyC4cJe8gqVDQEAOw==[/img][/url], dibujando a continuación una circunferencia que tenga un centro cualquiera que será el punto B que aparecerá al hacer clic en una parte libre de la vista gráfica y que pase por A, por lo que hacemos clic[br]sobre este punto.[br][br][img width=214,height=175]data:image/png;base64,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[/img][br]¿Qué podemos mover para determinar cuántas circunferencias hay que pasen por A?[br]Es evidente que no podemos mover A ya que es el dato inicial, pero si podemos mover B para deducir que hay infinitas circunferencias.[br]Podemos hacer visible estas infinitas circunferencias utilizando la opción rastro. Antes, cambiamos el color de la circunferencia, abriendo las opciones disponibles en la vista gráfica que aparecerán al hacer clic sobre la circunferencia.[br]Al hacer clic sobre la circunferencia con el botón derecho del mouse, aparece un cuadro de diálogo en el que marcamos la opción [b]Rastro[/b].[br][img width=434,height=196]data:image/png;base64,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[/img][br][br]Y ya sólo queda mover el punto B para que vayan apareciendo distintas circunferencias, cuya característica común es que todas pasan por el punto A.

Si ahora consideramos dos puntos A y B, sabemos que el número de circunferencias que pasan por esos dos puntos también es infinito.[br]Para ello, una vez dibujados los dos puntos, seleccionamos la herramienta [b]Circunferencia por tres puntos[/b][url=https://wiki.geogebra.org/es/Herramienta_de_Circunferencia_por_tres_puntos][img width=24,height=24]data:image/png;base64,R0lGODlhGAAYAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAwAUABQAhQAAAAAAAAAACAAAEwAAHQAAGQAADwAABgAAAwAAOAAAPAAANwAAPwAAOQAAKgAAOwAAIAAANgAALgAAKAAANQAARAAAQAAAVwAAWQAAcAAAhAAAoAAArAAApAAAsQAA7gAA9gAA8AAA9wAA/wAA8QECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwZVQIBwKAwYAQGiUpkkJpvLqFKQUEivgA+IgV0mQqLGEIp9JAgAxebRXXJGnfYYUPFY5Hhpk9zm4/19TnJ+gINREUhYfBckGX8ACBojHhN5ABQYYpZSQQA7[/img][/url], haciendo clic sobre A, B y dibujando un tercer punto C.[br]Piensa cuántas circunferencias puedes dibujar que pasen por los puntos A y B.[br][br][img width=225,height=167]data:image/png;base64,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[/img][img width=216,height=204]data:image/png;base64,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[/img][br]Ya tenemos una circunferencia que pasa por A y B, por lo que moviendo el punto C podemos observar que irán apareciendo nuevas circunferencias que cumplen la condición pedida.[br]Al igual que en el caso anterior, cambiamos el color de la circunferencia y activamos el rastro, para que al mover C aparezcan las distintas circunferencias que nos permitirán mostrar que hay infinitas ya que C[br]podemos moverlo por las infinitas posiciones de la vista gráfica.

Otra forma de resolver esta construcción sería con ayuda de la mediatriz, que se podrá utilizar si el alumnado ya conoce este concepto.[br]Si buscamos las circunferencias que pasan por A y B, el problema estará resuelto una vez que seamos capaces de determinar el centro.[br]El centro de la circunferencia cumple la propiedad de estar a la misma distancia de todos los puntos de la circunferencia; por lo que buscamos un punto que esté a la misma distancia de A y B. Los puntos que están a la misma distancia de otros dos puntos son los que se encuentran en su mediatriz.[br]Por tanto, dibujamos la mediatriz del segmento AB, utilizando la herramienta del mismo nombre.[url=https://wiki.geogebra.org/es/Herramienta_de_Mediatriz][img width=24,height=24]data:image/png;base64,R0lGODlhGAAYAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAAASABgAhAAAAAAAAAAAEQAAAgsAAA0AAAAACAAABAAANwAAMQAAOQAAKgAAOwAALgAAOgAAQgAASgAATwAAQQAAfwAAmQAAgQAAkAAAswAAuwAAxwAAxgAA/9IAAN4AAP8AAAECAwVIICCOZEl6Zlqiasu2cCyPwjw+FGK+ZJJtlRRPNIBcFKpXALBcwFhLG8EmKnSoy+FMK2JgIsLUZKNphEsOi8RFbbt3b25M/gwBADs=[/img][/url].[br][br][img width=265,height=207]data:image/png;base64,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[/img][br][br]El centro de una circunferencia que pase por A y B se debe encontrar en esta recta, por lo que dibujamos un punto sobre ella, utilizando la herramienta [b]Punto[/b].[br][br][img width=227,height=178]data:image/png;base64,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[/img][br][br]Una circunferencia que cumple las condiciones pedidas la dibujaremos utilizando la herramienta [b]Circunferencia (centro-punto)[/b], marcando C como C centro y A o B como puntos.

Estudiemos ahora cuántas circunferencias pasan por tres puntos A, B y C. Para ello, comenzamos dibujando los tres puntos.[br][img width=303,height=149]data:image/png;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAoHBwgHBgoICAgLCgoLDhgQDg0NDh0VFhEYIx8lJCIfIiEmKzcvJik0KSEiMEExNDk7Pj4+JS5ESUM8SDc9Pjv/2wBDAQoLCw4NDhwQEBw7KCIoOzs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozv/wAARCACVAS8DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD2aiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiql7qunaaUF/f2tpvzs8+ZU3Y64yeaktby1voRPZ3MNzETgPC4dfzFVySUea2gE9FFFSAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFY3iLxXpHha3jm1W5MZlJEcaKWd8dcAfzqoxcnyxV2BgeMbS7vfGWhw2Vtp9xL9muSE1BC0WPk7DvUvgiA2mva/b3EdrDeK0JlisRi2UFTt2g8huuc+1WoF8JfEa0jvvKW+FsSgDl0eInGQQCOuBW3pOi6bodsbfTLOO2jZtzBM5Y+pJ5NenPFRWF9g0+ZK2396+9/wt8yFH3rl6iiivKLCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArzL4seDdX164s9T0qE3RgjMUkCsAwGchhnr7/hXptFb4bETw1WNWnuhNJqzPPPhR4Q1Tw7bXt5qqfZ5LvaqW5YEqFzy2OM89K9DoopV688RVlVnuwSsrIKKKKxGFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFc7rWqapLrsGgaK0ENw9ubme5nQuIo920YXIySc9+1W9DfXVNzba2kEhiYeTdwDaJ1PqmSVI/KuiWHcafO2u9utu/8AWvW1hX1sa9FFFc4wooooAKKKKACiiigAooooAKKKKACiiigBGYKpZiAAMkntVDRtd03X7V7nTLkXEUchjYhSuGHsQPWqHja+ls/DNxFa/wDH3ekWluueS8h2/oMn8KwfCcF94e8UHTb+yt7KLUbRPISCYyKzwgKeSByVwfwrvpYWM8PKo3r0Wmtt9N9n+DIcrOx3tFFFcBYUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRXjXxc8T61a+JE0q1u57O0jgWQeSxQykk5JI6gYxj611YTCzxdZUYbvuTKSirs9G1nR9SOswa5ostuLyOA28sNznZNHncBkcgg8596taJBrSCe41u5heaZhsgtwfLgUdgSMknuTXM/CXXtT1zw5P/AGnK87Ws/lxzv951wDgnuRnrXd1WIlUpt0JpXjpfro+/9PoCs9UFFFFcZQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAySGKUoZI0co25Cyg7T6j0NDwxSSJI8aM8ZJRioJXPBwe1PqOdHkt5EjfY7IQrehxwad2Bkv4x8OR6t/ZT6xbLebtnlbujememfbNbVfMs3gzxImstpbaVdPdFyu8Rko3+1v6Y75zX0jp8EttptrbzyeZLFCiSP/eYAAn8678bhaWHUHTqKfMru3QiMm73RZooorzywooooAKKKKACiiigAooooAKKKKACiiigAooooAKy9a8NaN4hSNdVsIrnyvuM2Qy+uCOa1KKabTugK1hp9npdnHZ2FvHb28YwscYwBVmiikAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB//2Q==[/img][br]Como en los casos anteriores, aunque A, B y C son puntos libres, debemos considerar que no podemos moverlos de la posición que ocupan.[br]Si utilizamos la herramienta [b]Circunferencia por tres puntos[/b], al marcar A, B y C, observaremos[br]que aparece una única circunferencia, por lo que podemos deducir que sólo hay una.[br][img width=215,height=186]data:image/png;base64,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[/img][br]Si resolvemos este caso intentando localizar el centro de una posible circunferencia, sabemos que estará a la misma distancia de A y B, por lo que se debe encontrar en la mediatriz del segmento AB que dibujamos utilizando la herramienta [b]Mediatriz[/b].[br]El centro también estará a la misma distancia de B y de C, por lo que se encontrará en la mediatriz del segmento BC que también dibujamos.[br][br][img width=243,height=184]data:image/png;base64,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[/img][br][br]Observamos que las dos mediatrices se cortan en un único punto, por lo que sólo existirá una  circunferencia que dibujaremos tomando como centro el punto de intersección de las mediatrices y que pase por cualquiera de los tres puntos dados.

No hay más circunferencias que cumplan estas condiciones ya que A, B y C no podemos moverlos y el centro D tampoco ya que podemos observar que aparece como punto dependiente de los tres anteriores.[br]Este punto sabemos que es el circuncentro, centro de la circunferencia circunscrita del triángulo que tiene a A, B y C como vértices.

Y por último, para determinar cuántas circunferencias pasan por cuatro puntos, la respuesta será una o ninguna, según que el cuarto punto dado esté o no sobre la circunferencia anterior, la única que pasa por[br]tres de esos puntos.[br][br]