HYACINTHOS 8129

• Dear all,
  
  Since A is the orthocenter HBC, B of AHC, C of ABH and H of ABC we speak
  of an orthocentric system.
  
  We have A is X(74) of X(74)BC, B is X(74) of AX(74)C, C is X(74) of
  ABX(74), and of course X(74) is X(74) of ABC.
  
  X(74) deserves a shorter name than "Isogonal conjugate of Euler infinity
  point". I propose to call it Jerabek center.
  
  Then ABCX(74) is a Jerabekcentric system.
  
  Outside the orthocenter and the Jerabek center, are there more of such
  centers?
  
  Kind regards,
  Sincerely,
  Floor van Lamoen