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TCS: P1, P2

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  • Antreas Hatzipolakis
    [Hatzipolakis - Kiritami]: Let ABC be a triangle and P,P* two isogonal conjugate points. Denote: H1,H2,H3 = the orthocenters of PBC, PCA, PAB, resp. and
    Message 1 of 2 , Jul 17, 2013
    [Hatzipolakis - Kiritami]:

    Let ABC be a triangle and P,P* two isogonal conjugate points. 

    Denote: H1,H2,H3 = the orthocenters of PBC, PCA, PAB, resp. and 
    Ha,Hb,Hc = the orthocenters of P*BC, P*CA, P*AB, resp.

    The circumcircles of: 

    (1) H1HbHc, H2HcHa, H3HaHb 
    (2) HaH2H3, HbH3H1, HcH1H2 

    are concurrent. 



    ************************************

    Coordinates of  P1, P2  for  P = G, P* = K in atttach files

  • xpolakis
    Mentioned in ETC in the description of X(5509) = KIRIKAMI SIX CIRCLES IMAGE OF X(31) http://faculty.evansville.edu/ ck6/encyclopedia/ETCPart4.html
    Message 2 of 2 , Jan 8, 2014
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      Mentioned in ETC in the description of

      X(5509) =  KIRIKAMI SIX CIRCLES IMAGE OF X(31)

      http://faculty.evansville.edu/ ck6/encyclopedia/ETCPart4.html


      APH


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