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Six circles

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  • alex
    Dear friends! Let O1 be the circle inscribed in CAB angle of any triangle ABC (inside that triangle). O2 is the circle, inscribed in ABC angle (inside triangle
    Message 1 of 1 , Mar 31, 2003
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      Dear friends!
      Let O1 be the circle inscribed in CAB angle of any triangle ABC (inside that
      triangle). O2 is the circle, inscribed in ABC angle (inside triangle too)
      and extangent to O1. O3, O4, O5, O6, O7 let us define in the same way.
      Does anybody know the proof of O1=O7 (i.e. the chain of such circles
      consists not more than of the six circles?)
      Is that problem well-known?
      Best regards,
      Yours sincerely,
      Alex
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