Table P-X
Homothetic Centers
Points available in 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

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