Table X-P
Similitude Centers of Circles 2
Points available at 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

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