Table P-X
External Centers of Similitude
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: 2017-05-22

      Role     Kimberling Notation  
  1     External Center of Similitude of the Circumcircle of Triangle ABC and the Circumcircle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  2     External Center of Similitude of the Incircle of Triangle ABC and the Circumcircle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(1317)    
  3     External Center of Similitude of the Incircle of Triangle ABC and the Incircle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  4     External Center of Similitude of the Incircle of Triangle ABC and the Antimedial Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(2098)    
  5     External Center of Similitude of the Incircle of Triangle ABC and the Spieker Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(3241)    
  6     External Center of Similitude of the Incircle of Triangle ABC and the Outer Johnson-Yff Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(1320)    
  7     External Center of Similitude of the Incentral Circle of Triangle ABC and the Incentral Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  8     External Center of Similitude of the Nine-Point Circle of Triangle ABC and the Nine-Point Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  9     External Center of Similitude of the Nine-Point Circle of Triangle ABC and the Antimedial Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(8)   Nagel Point  
  10     External Center of Similitude of the Symmedial Circle of Triangle ABC and the Symmedial Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  11     External Center of Similitude of the Extouch Circle of Triangle ABC and the Extouch Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  12     External Center of Similitude of the Excentral Circle of Triangle ABC and the Circumcircle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(2487)    
  13     External Center of Similitude of the Excentral Circle of Triangle ABC and the Excentral Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  14     External Center of Similitude of the Excentral Circle of Triangle ABC and the Antimedial Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(11531)    
  15     External Center of Similitude of the Antimedial Circle of Triangle ABC and the Antimedial Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  16     External Center of Similitude of the Tangential Circle of Triangle ABC and the Circumcircle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(8192)    
  17     External Center of Similitude of the Tangential Circle of Triangle ABC and the Tangential Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  18     External Center of Similitude of the Spieker Circle of Triangle ABC and the Antimedial Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(5289)    
  19     External Center of Similitude of the Spieker Circle of Triangle ABC and the Spieker Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  20     External Center of Similitude of the Spieker Circle of Triangle ABC and the Outer Johnson-Yff Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(10912)    
  21     External Center of Similitude of the Stevanovic Circle of Triangle ABC and the Stevanovic Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  22     External Center of Similitude of the Sine-Triple-Angle Circle of Triangle ABC and the Sine-Triple-Angle Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  23     External Center of Similitude of the Adams Circle of Triangle ABC and the Adams Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  24     External Center of Similitude of the Conway Circle of Triangle ABC and the Conway Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  25     External Center of Similitude of the Brocard Circle of Triangle ABC and the Brocard Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  26     External Center of Similitude of the Second Brocard Circle of Triangle ABC and the Second Brocard Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  27     External Center of Similitude of the Orthocentroidal Circle of Triangle ABC and the Orthocentroidal Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  28     External Center of Similitude of the Moses Circle of Triangle ABC and the Moses Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  29     External Center of Similitude of the Half-Moses Circle of Triangle ABC and the Half-Moses Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  30     External Center of Similitude of the Parry Circle of Triangle ABC and the Parry Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  31     External Center of Similitude of the Lester Circle of Triangle ABC and the Lester Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  32     External Center of Similitude of the Inner Johnson-Yff Circle of Triangle ABC and the Antimedial Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(10944)    
  33     External Center of Similitude of the Inner Johnson-Yff Circle of Triangle ABC and the Inner Johnson-Yff Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  34     External Center of Similitude of the Outer Johnson-Yff Circle of Triangle ABC and the Outer Johnson-Yff Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  35     External Center of Similitude of the Lemoine Circle of Triangle ABC and the Lemoine Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  36     External Center of Similitude of the Gallatly Circle of Triangle ABC and the Gallatly Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  37     External Center of Similitude of the Kenmotu Circle of Triangle ABC and the Kenmotu Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  38     External Center of Similitude of the Cosine Circle of Triangle ABC and the Cosine Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  39     External Center of Similitude of the Apollonius Circle of Triangle ABC and the Apollonius Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle  
  40     External Center of Similitude of the Taylor Circle of Triangle ABC and the Taylor Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter     X(145)   Nagel Point of the Anticomplementary Triangle