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: 2016-11-17

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