Table X-P
Homothetic Centers
Points available at the Kimberling's Encyclopedia ETC.
The ETC version: The 12433 points version of 2017.
The "Discoverer" database version: October 2013.
Last update: 2017-05-20

      Kimberling Notation     Role  
  1     X(2) Centroid     Homothetic Center of Triangle ABC and the Triangle of Reflections of the Vertices of the Medial Triangle in the Centroid  
  2     X(8) Nagel Point     Homothetic Center of Triangle ABC and the Triangle of Reflections of the Vertices of the Medial Triangle in the Spieker Center  
  3     X(20) de Longchamps Point     Homothetic Center of Triangle ABC and the Triangle of Reflections of the Vertices of the Medial Triangle in the Circumcenter  
  4     X(144) Gergonne Point of the Anticomplementary Triangle     Homothetic Center of Triangle ABC and the Triangle of Reflections of the Vertices of the Medial Triangle in the Mittenpunkt  
  5     X(145) Nagel Point of the Anticomplementary Triangle     Homothetic Center of Triangle ABC and the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter  
  6     X(148)     Homothetic Center of Triangle ABC and the Triangle of Reflections of the Vertices of the Medial Triangle in the Kiepert Center  
  7     X(149)     Homothetic Center of Triangle ABC and the Triangle of Reflections of the Vertices of the Medial Triangle in the Feuerbach Point  
  8     X(192) Equal Parallelians Point     Homothetic Center of Triangle ABC and the Triangle of Reflections of the Vertices of the Medial Triangle in the Grinberg Point  
  9     X(193)     Homothetic Center of Triangle ABC and the Triangle of Reflections of the Vertices of the Medial Triangle in the Symmedian Point  
  10     X(194)     Homothetic Center of Triangle ABC and the Triangle of Reflections of the Vertices of the Medial Triangle in the Brocard Midpoint  
  11     X(3146)     Homothetic Center of Triangle ABC and the Triangle of Reflections of the Vertices of the Medial Triangle in the Orthocenter  
  12     X(3543)     Homothetic Center of Triangle ABC and the Triangle of Reflections of the Vertices of the Medial Triangle in the Center of the Orthocentroidal Circle  
  13     X(3621)     Homothetic Center of Triangle ABC and the Triangle of Reflections of the Vertices of the Medial Triangle in the Nagel Point  
  14     X(4430)     Homothetic Center of Triangle ABC and the Triangle of Reflections of the Vertices of the Medial Triangle in the Weill Point  
  15     X(4788)     Homothetic Center of Triangle ABC and the Triangle of Reflections of the Vertices of the Medial Triangle in the Equal Parallelians Point  
  16     X(5059)     Homothetic Center of Triangle ABC and the Triangle of Reflections of the Vertices of the Medial Triangle in the de Longchamps Point  
  17     X(5889)     Homothetic Center of Triangle ABC and the Triangle of Reflections of the Vertices of the Medial Triangle in the Center of the Taylor Circle  
  18     X(5984)     Homothetic Center of Triangle ABC and the Triangle of Reflections of the Vertices of the Medial Triangle in the Tarry Point  
  19     X(6658)     Homothetic Center of Triangle ABC and the Triangle of Reflections of the Vertices of the Medial Triangle in the Conway Point  
  20     X(6776)     Homothetic Center of Triangle ABC and the Triangle of Reflections of the Vertices of the Medial Triangle in the Center of the Brocard Circle  
  21     X(7057)     Homothetic Center of Triangle ABC and the Triangle of Reflections of the Vertices of the Medial Triangle in the Second Mid-Arc Point  
  22     X(12221)     Homothetic Center of Triangle ABC and the Triangle of Reflections of the Vertices of the Medial Triangle in the Inner Vecten Point  
  23     X(12222)     Homothetic Center of Triangle ABC and the Triangle of Reflections of the Vertices of the Medial Triangle in the Outer Vecten Point