Table P-X
External Similitude Centers
Points available in the Kimberling's Encyclopedia ETC.
The ETC version: The 10200 points version of 2016.
The "Discoverer" database version: October 2013.
Last update: 2016-11-17

      Role     Kimberling Notation  
  1     External Center of Similitude of the Circumcircle of Triangle ABC and the Nine-Point Circle of the Euler Anticevian Triangle of the Incenter     X(1)   Incenter  
  2     External Center of Similitude of the Circumcircle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of the Incenter     X(40)   Bevan Point  
  3     External Center of Similitude of the Circumcircle of Triangle ABC and the Tangential Circle of the Euler Anticevian Triangle of the Incenter     X(56)   External Center of Similitude of Circumcircle and Incircle  
  4     External Center of Similitude of the Circumcircle of Triangle ABC and the Sine-Triple-Angle Circle of the Euler Anticevian Triangle of the Incenter     X(5450)    
  5     External Center of Similitude of the Circumcircle of Triangle ABC and the Half-Moses Circle of the Euler Anticevian Triangle of the Incenter     X(1001)    
  6     External Center of Similitude of the Incircle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(56)   External Center of Similitude of Circumcircle and Incircle  
  7     External Center of Similitude of the Incircle of Triangle ABC and the Incircle of the Euler Anticevian Triangle of the Incenter     X(8077)    
  8     External Center of Similitude of the Incircle of Triangle ABC and the Nine-Point Circle of the Euler Anticevian Triangle of the Incenter     X(1319)   Bevan-Schroder Point  
  9     External Center of Similitude of the Incircle of Triangle ABC and the Tangential Circle of the Euler Anticevian Triangle of the Incenter     X(56)   External Center of Similitude of Circumcircle and Incircle  
  10     External Center of Similitude of the Nine-Point Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(4)   Orthocenter  
  11     External Center of Similitude of the Nine-Point Circle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of the Incenter     X(5587)    
  12     External Center of Similitude of the Nine-Point Circle of Triangle ABC and the Sine-Triple-Angle Circle of the Euler Anticevian Triangle of the Incenter     X(36)   Inverse of the Incenter in the Circumcircle  
  13     External Center of Similitude of the Excentral Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(1)   Incenter  
  14     External Center of Similitude of the Excentral Circle of Triangle ABC and the Nine-Point Circle of the Euler Anticevian Triangle of the Incenter     X(1)   Incenter  
  15     External Center of Similitude of the Excentral Circle of Triangle ABC and the Tangential Circle of the Euler Anticevian Triangle of the Incenter     X(36)   Inverse of the Incenter in the Circumcircle  
  16     External Center of Similitude of the Antimedial Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(20)   de Longchamps Point  
  17     External Center of Similitude of the Antimedial Circle of Triangle ABC and the Nine-Point Circle of the Euler Anticevian Triangle of the Incenter     X(5731)    
  18     External Center of Similitude of the Tangential Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(22)   Exeter Point  
  19     External Center of Similitude of the Tangential Circle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of the Incenter     X(9626)    
  20     External Center of Similitude of the Spieker Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(1376)    
  21     External Center of Similitude of the Spieker Circle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of the Incenter     X(936)    
  22     External Center of Similitude of the Spieker Circle of Triangle ABC and the Half-Moses Circle of the Euler Anticevian Triangle of the Incenter     X(8299)    
  23     External Center of Similitude of the Sine-Triple-Angle Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(184)    
  24     External Center of Similitude of the Sine-Triple-Angle Circle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of the Incenter     X(9622)    
  25     External Center of Similitude of the Adams Circle of Triangle ABC and the Lemoine Circle of the Euler Anticevian Triangle of the Incenter     X(7677)    
  26     External Center of Similitude of the Conway Circle of Triangle ABC and the Taylor Circle of the Euler Anticevian Triangle of the Incenter     X(2)   Centroid  
  27     External Center of Similitude of the Brocard Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(1341)    
  28     External Center of Similitude of the Orthocentroidal Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(1345)    
  29     External Center of Similitude of the Moses Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(32)   Third Power Point  
  30     External Center of Similitude of the Moses Circle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of the Incenter     X(9620)    
  31     External Center of Similitude of the Moses Circle of Triangle ABC and the Moses Circle of the Euler Anticevian Triangle of the Incenter     X(1279)    
  32     External Center of Similitude of the Half-Moses Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(6)   Symmedian Point  
  33     External Center of Similitude of the Half-Moses Circle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of the Incenter     X(9593)    
  34     External Center of Similitude of the Half-Moses Circle of Triangle ABC and the Half-Moses Circle of the Euler Anticevian Triangle of the Incenter     X(1279)    
  35     External Center of Similitude of the Inner Johnson-Yff Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(7354)    
  36     External Center of Similitude of the Inner Johnson-Yff Circle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of the Incenter     X(9613)    
  37     External Center of Similitude of the Outer Johnson-Yff Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(11)   Feuerbach Point  
  38     External Center of Similitude of the Outer Johnson-Yff Circle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of the Incenter     X(9614)    
  39     External Center of Similitude of the Lemoine Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(1343)    
  40     External Center of Similitude of the Gallatly Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(1689)    
  41     External Center of Similitude of the Kenmotu Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(3386)    
  42     External Center of Similitude of the Kenmotu Circle of Triangle ABC and the Kenmotu Circle of the Euler Anticevian Triangle of the Incenter     X(238)    
  43     External Center of Similitude of the Cosine Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(372)   Second Kenmotu Point  
  44     External Center of Similitude of the Cosine Circle of Triangle ABC and the Cosine Circle of the Euler Anticevian Triangle of the Incenter     X(238)    
  45     External Center of Similitude of the Apollonius Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(386)    
  46     External Center of Similitude of the Apollonius Circle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of the Incenter     X(9549)