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: 2016-11-17

      Role     Kimberling Notation  
  1     Internal Center of Similitude of the Circumcircle of Triangle ABC and the Nine-Point Circle of the Euler Anticevian Triangle of the Incenter     X(3576)    
  2     Internal Center of Similitude of the Circumcircle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of the Incenter     X(3576)    
  3     Internal Center of Similitude of the Circumcircle of Triangle ABC and the Tangential Circle of the Euler Anticevian Triangle of the Incenter     X(3428)    
  4     Internal Center of Similitude of the Circumcircle of Triangle ABC and the Sine-Triple-Angle Circle of the Euler Anticevian Triangle of the Incenter     X(993)    
  5     Internal Center of Similitude of the Circumcircle of Triangle ABC and the Second Brocard Circle of the Euler Anticevian Triangle of the Incenter     X(3)   Circumcenter  
  6     Internal Center of Similitude of the Circumcircle of Triangle ABC and the Cosine Circle of the Euler Anticevian Triangle of the Incenter     X(8225)    
  7     Internal Center of Similitude of the Incircle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(55)   Internal Center of Similitude of Circumcircle and Incircle  
  8     Internal Center of Similitude of the Incircle of Triangle ABC and the Incircle of the Euler Anticevian Triangle of the Incenter     X(7588)    
  9     Internal Center of Similitude of the Incircle of Triangle ABC and the Nine-Point Circle of the Euler Anticevian Triangle of the Incenter     X(2646)    
  10     Internal Center of Similitude of the Incircle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of the Incenter     X(1)   Incenter  
  11     Internal Center of Similitude of the Nine-Point Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(2)   Centroid  
  12     Internal Center of Similitude of the Nine-Point Circle of Triangle ABC and the Nine-Point Circle of the Euler Anticevian Triangle of the Incenter     X(1125)    
  13     Internal Center of Similitude of the Nine-Point Circle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of the Incenter     X(8227)    
  14     Internal Center of Similitude of the Nine-Point Circle of Triangle ABC and the Tangential Circle of the Euler Anticevian Triangle of the Incenter     X(958)    
  15     Internal Center of Similitude of the Excentral Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(165)   Centroid of the Excentral Triangle  
  16     Internal Center of Similitude of the Excentral Circle of Triangle ABC and the Nine-Point Circle of the Euler Anticevian Triangle of the Incenter     X(7987)    
  17     Internal Center of Similitude of the Excentral Circle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of the Incenter     X(3)   Circumcenter  
  18     Internal Center of Similitude of the Antimedial Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(2)   Centroid  
  19     Internal Center of Similitude of the Antimedial Circle of Triangle ABC and the Nine-Point Circle of the Euler Anticevian Triangle of the Incenter     X(3616)    
  20     Internal Center of Similitude of the Antimedial Circle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of the Incenter     X(946)    
  21     Internal Center of Similitude of the Antimedial Circle of Triangle ABC and the Tangential Circle of the Euler Anticevian Triangle of the Incenter     X(2975)    
  22     Internal Center of Similitude of the Tangential Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(24)   Perspector of the Kosnita Triangle and the Orthic Triangle  
  23     Internal Center of Similitude of the Tangential Circle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of the Incenter     X(9625)    
  24     Internal Center of Similitude of the Spieker Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(958)    
  25     Internal Center of Similitude of the Spieker Circle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of the Incenter     X(9623)    
  26     Internal Center of Similitude of the Sine-Triple-Angle Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(1147)    
  27     Internal 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(9621)    
  28     Internal Center of Similitude of the Adams Circle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of the Incenter     X(1)   Incenter  
  29     Internal Center of Similitude of the Conway Circle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of the Incenter     X(1)   Incenter  
  30     Internal Center of Similitude of the Conway Circle of Triangle ABC and the Taylor Circle of the Euler Anticevian Triangle of the Incenter     X(3616)    
  31     Internal Center of Similitude of the Brocard Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(1340)    
  32     Internal Center of Similitude of the Second Brocard Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(3)   Circumcenter  
  33     Internal Center of Similitude of the Second Brocard Circle of Triangle ABC and the Second Brocard Circle of the Euler Anticevian Triangle of the Incenter     X(3)   Circumcenter  
  34     Internal Center of Similitude of the Orthocentroidal Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(1344)    
  35     Internal Center of Similitude of the Moses Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(574)    
  36     Internal Center of Similitude of the Moses Circle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of the Incenter     X(9619)    
  37     Internal Center of Similitude of the Half-Moses Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(5013)    
  38     Internal Center of Similitude of the Half-Moses Circle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of the Incenter     X(9592)    
  39     Internal Center of Similitude of the Inner Johnson-Yff Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(12)   Feuerbach Perspector  
  40     Internal 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(9612)    
  41     Internal Center of Similitude of the Outer Johnson-Yff Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(6284)    
  42     Internal 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(3586)    
  43     Internal Center of Similitude of the Lemoine Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(1342)    
  44     Internal Center of Similitude of the Gallatly Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(1690)    
  45     Internal Center of Similitude of the Kenmotu Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(3385)    
  46     Internal Center of Similitude of the Cosine Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(371)   First Kenmotu Point  
  47     Internal Center of Similitude of the Cosine Circle of Triangle ABC and the Cosine Circle of the Euler Anticevian Triangle of the Incenter     X(1)   Incenter  
  48     Internal Center of Similitude of the Apollonius Circle of Triangle ABC and the Circumcircle of the Euler Anticevian Triangle of the Incenter     X(573)    
  49     Internal Center of Similitude of the Apollonius Circle of Triangle ABC and the Antimedial Circle of the Euler Anticevian Triangle of the Incenter     X(9548)