Table P-X
Similitude Centers
Points available in 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

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