Table X-P
Internal Similitude Centers
Points available at the Kimberling's Encyclopedia ETC.
The ETC version: The 12433 points version of 2017.
The "Discoverer" database version: October 2013.
Last update: 2017-05-25

      Kimberling Notation     Role  
  1     X(1) Incenter     Internal Center of Similitude of the Circumcircle of Triangle ABC and the Antimedial Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter  
  2     X(1) Incenter     Internal Center of Similitude of the Nine-Point Circle of Triangle ABC and the Circumcircle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter  
  3     X(1) Incenter     Internal Center of Similitude of the Excentral Circle of Triangle ABC and the Antimedial Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter  
  4     X(1) Incenter     Internal Center of Similitude of the Antimedial Circle of Triangle ABC and the Excentral Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter  
  5     X(1) Incenter     Internal Center of Similitude of the Spieker Circle of Triangle ABC and the Incircle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter  
  6     X(1) Incenter     Internal Center of Similitude of the Spieker Circle of Triangle ABC and the Spieker Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter  
  7     X(551)     Internal Center of Similitude of the Nine-Point Circle of Triangle ABC and the Excentral Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter  
  8     X(2099)     Internal Center of Similitude of the Incircle of Triangle ABC and the Antimedial Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter  
  9     X(3241)     Internal Center of Similitude of the Incircle of Triangle ABC and the Incircle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter  
  10     X(3241)     Internal Center of Similitude of the Adams Circle of Triangle ABC and the Adams Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter  
  11     X(3241)     Internal Center of Similitude of the Conway Circle of Triangle ABC and the Conway Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter  
  12     X(3623)     Internal Center of Similitude of the Circumcircle of Triangle ABC and the Nine-Point Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter  
  13     X(3623)     Internal Center of Similitude of the Incircle of Triangle ABC and the Spieker Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter  
  14     X(3623)     Internal Center of Similitude of the Antimedial Circle of Triangle ABC and the Circumcircle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter  
  15     X(5603)     Internal Center of Similitude of the Nine-Point Circle of Triangle ABC and the Antimedial Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter  
  16     X(5731)     Internal Center of Similitude of the Excentral Circle of Triangle ABC and the Excentral Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter  
  17     X(7967)     Internal Center of Similitude of the Circumcircle of Triangle ABC and the Circumcircle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter  
  18     X(7967)     Internal Center of Similitude of the Second Brocard Circle of Triangle ABC and the Second Brocard Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter  
  19     X(10247)     Internal Center of Similitude of the Nine-Point Circle of Triangle ABC and the Nine-Point Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter  
  20     X(10950)     Internal Center of Similitude of the Outer Johnson-Yff Circle of Triangle ABC and the Antimedial Circle wrt the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter