Table P-X
Internal 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: 2016-11-25

      Role     Kimberling Notation  
  1     Internal Center of Similitude of the Circumcircle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  2     Internal Center of Similitude of the Circumcircle of Triangle ABC and the Nine-Point Circle of the Euler Anticevian Triangle of Centroid     X(3524)    
  3     Internal Center of Similitude of the Circumcircle of Triangle ABC and the Spieker Circle of the Euler Anticevian Triangle of Centroid     X(4428)    
  4     Internal Center of Similitude of the Circumcircle of Triangle ABC and the Orthocentroidal Circle of the Euler Anticevian Triangle of Centroid     X(3)   Circumcenter  
  5     Internal Center of Similitude of the Circumcircle of Triangle ABC and the Half-Moses Circle of the Euler Anticevian Triangle of Centroid     X(8556)    
  6     Internal Center of Similitude of the Incircle of Triangle ABC and the Incircle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  7     Internal Center of Similitude of the Incircle of Triangle ABC and the Nine-Point Circle of the Euler Anticevian Triangle of Centroid     X(4995)    
  8     Internal Center of Similitude of the Incircle of Triangle ABC and the Excentral Circle of the Euler Anticevian Triangle of Centroid     X(4654)    
  9     Internal Center of Similitude of the Incentral Circle of Triangle ABC and the Incentral Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  10     Internal Center of Similitude of the Nine-Point Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of Centroid     X(3545)    
  11     Internal Center of Similitude of the Nine-Point Circle of Triangle ABC and the Nine-Point Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  12     Internal Center of Similitude of the Nine-Point Circle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  13     Internal Center of Similitude of the Symmedial Circle of Triangle ABC and the Symmedial Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  14     Internal Center of Similitude of the Extouch Circle of Triangle ABC and the Extouch Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  15     Internal Center of Similitude of the Excentral Circle of Triangle ABC and the Incircle of the Euler Anticevian Triangle of Centroid     X(3929)    
  16     Internal Center of Similitude of the Excentral Circle of Triangle ABC and the Excentral Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  17     Internal Center of Similitude of the Antimedial Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of Centroid     X(3839)    
  18     Internal Center of Similitude of the Antimedial Circle of Triangle ABC and the Nine-Point Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  19     Internal Center of Similitude of the Antimedial Circle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  20     Internal Center of Similitude of the Tangential Circle of Triangle ABC and the Tangential Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  21     Internal Center of Similitude of the Spieker Circle of Triangle ABC and the Spieker Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  22     Internal Center of Similitude of the Stevanovic Circle of Triangle ABC and the Stevanovic Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  23     Internal Center of Similitude of the Sine-Triple-Angle Circle of Triangle ABC and the Sine-Triple-Angle Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  24     Internal Center of Similitude of the Adams Circle of Triangle ABC and the Adams Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  25     Internal Center of Similitude of the Conway Circle of Triangle ABC and the Conway Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  26     Internal Center of Similitude of the Brocard Circle of Triangle ABC and the Brocard Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  27     Internal Center of Similitude of the Second Brocard Circle of Triangle ABC and the Second Brocard Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  28     Internal Center of Similitude of the Second Brocard Circle of Triangle ABC and the Orthocentroidal Circle of the Euler Anticevian Triangle of Centroid     X(3)   Circumcenter  
  29     Internal Center of Similitude of the Orthocentroidal Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of Centroid     X(381)   Center of the Orthocentroidal Circle  
  30     Internal Center of Similitude of the Orthocentroidal Circle of Triangle ABC and the Second Brocard Circle of the Euler Anticevian Triangle of Centroid     X(381)   Center of the Orthocentroidal Circle  
  31     Internal Center of Similitude of the Orthocentroidal Circle of Triangle ABC and the Orthocentroidal Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  32     Internal Center of Similitude of the Moses Circle of Triangle ABC and the Moses Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  33     Internal Center of Similitude of the Half-Moses Circle of Triangle ABC and the Half-Moses Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  34     Internal Center of Similitude of the Parry Circle of Triangle ABC and the Parry Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  35     Internal Center of Similitude of the Lester Circle of Triangle ABC and the Lester Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  36     Internal Center of Similitude of the Inner Johnson-Yff Circle of Triangle ABC and the Inner Johnson-Yff Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  37     Internal Center of Similitude of the Outer Johnson-Yff Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of Centroid     X(3058)    
  38     Internal Center of Similitude of the Outer Johnson-Yff Circle of Triangle ABC and the Outer Johnson-Yff Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  39     Internal Center of Similitude of the Lemoine Circle of Triangle ABC and the Lemoine Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  40     Internal Center of Similitude of the Gallatly Circle of Triangle ABC and the Gallatly Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  41     Internal Center of Similitude of the Kenmotu Circle of Triangle ABC and the Kenmotu Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  42     Internal Center of Similitude of the Cosine Circle of Triangle ABC and the Cosine Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  43     Internal Center of Similitude of the Apollonius Circle of Triangle ABC and the Apollonius Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid  
  44     Internal Center of Similitude of the Taylor Circle of Triangle ABC and the Taylor Circle of the Euler Anticevian Triangle of Centroid     X(2)   Centroid