HYACINTHOS 2348

• Dear Antreas,
  
  [APH]:
  The circles (A,R), (B,R), (C,R) intersect the extensions of the
  triangle sides as in the figure: (with slight change of notations)
  
  
  
  Ba Ca
  \ /
  \ /
  \ /
  \ /
  \/ A
  /\
  / \
  / \
  / \
  / \
  / \
  Ab---------B------------C----------Ac
  / \
  / \
  / \
  / \
  Cb Bc
  
  
  The radical center of the three circles ABaCa, BCbAb, and CAcBc
  is the point
  
  (a^2(a^2(b^2+c^2)-b^2c^2))/(2a^2-(2b^2-bc+2c^2)): ... : ...)
  
  much more complicated than the previous one!
  
  Best regards.
  Sincerely,
  Paul Yiu