Sunday, December 29, 2013

Geometry Problem 952: Triangle, Incenter, Circumcenter, Three Equal Circles, Tangent Line, Tangent Circles, Collinear Points

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 952.

Online Geometry Problem 952: Triangle, Incenter, Circumcenter, Three Equal Circles, Tangent Line, Tangent Circles, Collinear Points

Posted by Antonio Gutierrez at 2:51 PM
Labels: , , , , ,

3 comments:

  1. Peter TranDecember 29, 2013 at 5:42 PM

    Connect IB, IC, IA . Let k=IE/IB=IF/IC=ID/IA
    G is circumcenter of tri(DEF)
    Consider hemothety transformation (center I, factor k)
    In this transformation Tri(DEF) => tri(ABC ) and G will become O
    So I,G,O are collinear

    ReplyDelete
    Replies
    1. AnonymousOctober 9, 2015 at 4:21 PM

      G is the circumcenter of tri(DEF). dont u mean incenter?

      Delete
    2. Peter TranOctober 9, 2015 at 6:09 PM

      No , G is the center of a circle pass through E, E and F.
      Peter Tran

      Delete

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