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