Table P-X
Similitude Centers of Circles 2
Points available in the Kimberling's Encyclopedia ETC.
The ETC version: The 11186 points version of 2016.
The "Discoverer" database version: October 2013.
Last update: 2017-01-24

      Role     Kimberling Notation  
  1     Internal Center of Similitude of the Circumcircle wrt the Incentral Triangle and the Nine-Point Circle wrt the Incentral Triangle     X(1962)   Centroid of the Incentral Triangle  
  2     External Center of Similitude of the Circumcircle wrt the Incentral Triangle and the Nine-Point Circle wrt the Incentral Triangle     X(500)   Orthocenter of the Incentral Triangle  
  3     Internal Center of Similitude of the Circumcircle wrt the Incentral Triangle and the Second Brocard Circle wrt the Incentral Triangle     X(8143)    
  4     Internal Center of Similitude of the Incircle wrt the Incentral Triangle and the Spieker Circle wrt the Incentral Triangle     X(1962)   Centroid of the Incentral Triangle  
  5     External Center of Similitude of the Incircle wrt the Incentral Triangle and the Inner Johnson-Yff Circle wrt the Incentral Triangle     X(500)   Orthocenter of the Incentral Triangle  
  6     External Center of Similitude of the Incircle wrt the Incentral Triangle and the Outer Johnson-Yff Circle wrt the Incentral Triangle     X(500)   Orthocenter of the Incentral Triangle  
  7     Internal Center of Similitude of the Nine-Point Circle wrt the Incentral Triangle and the Tangential Circle wrt the Incentral Triangle     X(8143)    
  8     Internal Center of Similitude of the Antimedial Circle wrt the Incentral Triangle and the Circumcircle wrt the Incentral Triangle     X(1962)   Centroid of the Incentral Triangle  
  9     External Center of Similitude of the Antimedial Circle wrt the Incentral Triangle and the Nine-Point Circle wrt the Incentral Triangle     X(1962)   Centroid of the Incentral Triangle  
  10     External Center of Similitude of the Inner Johnson-Yff Circle wrt the Incentral Triangle and the Outer Johnson-Yff Circle wrt the Incentral Triangle     X(500)   Orthocenter of the Incentral Triangle