Table X-P
Internal Similitude Centers
Points available at 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

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