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Circles construction Problem

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  • Antreas Hatzipolakis
    Let ABC be a triangle. To construct three circles (X), (Y), (Z) such that: (X) touches BC at a point say A (Y) touches CA at a point say B (Z) touches AB at
    Message 1 of 1 , Jan 18, 2013
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      Let ABC be a triangle. To construct three circles (X), (Y), (Z) such that:

      (X) touches BC at a point say A'
      (Y) touches CA at a point say B'
      (Z) touches AB at a point say C'

      and

      1. ABC, XYZ are perspective.
      2. A',B',C' are collinear,
      3. The circles (X),)Y),(Z) are concurrent.

      aph
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