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Circunferencias tangentes

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Circunferencias tangentes

Notapor danilega » Mar Nov 11, 2008 7:55 pm

Me estoy volviendo loco para resolver el siguiente caso, creo que es un caso de apolonio simplificado pero no le encuentro solucion


Dados tres puntos (P,Q y R) trazar tres circunferencias que sean tangente entre si dos a dos y pasen por los puntos

IMAGENEs

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Imagen
danilega
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Re: Circunferencias tangentes

Notapor Ro » Mié Nov 12, 2008 11:46 am

Hola, bueno yo tabién creo que se trate de un apolonio. Traza las dos primeras arbitrarias, y después estaríamos en el caso CCP.
Si no recuerdas como se resuelve mira en www.zonabarbieri.com problemas de Apolonio y los tienes todos resueltos paso a paso.
Suerte.
Salu2.
Ro
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Re: Circunferencias tangentes

Notapor Lunadan » Jue Nov 27, 2008 6:46 pm

He estado probando de hacer el problema pero no me sale. Lo que si se hacer es 3 circumferencias tangentes a tres rectas.
Si me sale, lo pongo.
Si sabes la solución ya nos lo explicaras por pasos... Saludos!
Lunadan
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Re: Circunferencias tangentes

Notapor Ro » Jue Nov 27, 2008 7:36 pm

Hola, a continuación inseto un dibujo para ilustrar mejor los pasos. De todos modos puedes hacer lo siguiente:
1 Unes los puntos para formar un triángulo.
2. Hallas el incentro y dibujas la circunferencia inscrita.
3. Centrando en cada uno de los vértices y con radio hasta los puntos de tangencia de la circunferencia inscrita, trazas las soluciones.
Adjuntos
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Ro
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Re: Circunferencias tangentes

Notapor sanja » Jue Nov 27, 2008 7:46 pm

Hola!!!

hmmmmm ro... creo que has tenido un fallo, porque las circunferencias no pasan por los puntos dados...
sanja
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Re: Circunferencias tangentes

Notapor Ro » Jue Nov 27, 2008 8:01 pm

Hola , oye perdona, estaba distraido y contesté a otro problema. No tiene nada que ver con el tuyo, es de otro foro, disculpa.
A ver si luego te busco el tuyo.
Salu2.
Ro
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Re: Circunferencias tangentes

Notapor Ro » Jue Nov 27, 2008 8:28 pm

Hola , te mando el dibujo, y disculpa lo de antes.
Adjuntos
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Ro
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