Table X-P
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: 2017-06-21

      Kimberling Notation     Role  
  1     X(2) Centroid     Internal Center of Similitude of the Circle C23 and the Circle C24  
  2     X(2) Centroid     Internal Center of Similitude of the Circle C23 and the Circle C25  
  3     X(2) Centroid     External Center of Similitude of the Circle C24 and the Circle C25  
  4     X(2) Centroid     Internal Center of Similitude of the Circle C34 and the Circle C35  
  5     X(3) Circumcenter     External Center of Similitude of the Circle C23 and the Circle C34  
  6     X(3) Circumcenter     External Center of Similitude of the Circle C23 and the Circle C35  
  7     X(3) Circumcenter     External Center of Similitude of the Circle C34 and the Circle C35  
  8     X(4) Orthocenter     External Center of Similitude of the Circle C24 and the Circle C34  
  9     X(4) Orthocenter     External Center of Similitude of the Circle C24 and the Circle C45  
  10     X(4) Orthocenter     External Center of Similitude of the Circle C34 and the Circle C45  
  11     X(5) Nine-Point Center     External Center of Similitude of the Circle C25 and the Circle C35  
  12     X(5) Nine-Point Center     Internal Center of Similitude of the Circle C25 and the Circle C45  
  13     X(5) Nine-Point Center     Internal Center of Similitude of the Circle C35 and the Circle C45  
  14     X(20) de Longchamps Point     External Center of Similitude of the Circle C23 and the Circle C45  
  15     X(20) de Longchamps Point     External Center of Similitude of the Circle C24 and the Circle C35  
  16     X(140) Nine-Point Center of the Medial Triangle     Internal Center of Similitude of the Circle C23 and the Circle C34  
  17     X(140) Nine-Point Center of the Medial Triangle     External Center of Similitude of the Circle C25 and the Circle C45  
  18     X(376)     External Center of Similitude of the Circle C23 and the Circle C24  
  19     X(381) Center of the Orthocentroidal Circle     External Center of Similitude of the Circle C23 and the Circle C25  
  20     X(381) Center of the Orthocentroidal Circle     Internal Center of Similitude of the Circle C34 and the Circle C45  
  21     X(631)     Internal Center of Similitude of the Circle C23 and the Circle C35  
  22     X(1656)     Internal Center of Similitude of the Circle C23 and the Circle C45  
  23     X(1656)     External Center of Similitude of the Circle C25 and the Circle C34  
  24     X(3090)     Internal Center of Similitude of the Circle C24 and the Circle C35  
  25     X(3090)     Internal Center of Similitude of the Circle C25 and the Circle C34  
  26     X(3091)     Internal Center of Similitude of the Circle C24 and the Circle C34  
  27     X(3628)     Internal Center of Similitude of the Circle C25 and the Circle C35  
  28     X(3832)     Internal Center of Similitude of the Circle C24 and the Circle C45  
  29     X(5071)     Internal Center of Similitude of the Circle C24 and the Circle C25