Table X-P
Perspectors of the Central Triangle of the Triad of Circles which is the inverse image of triangle ABC wrt the Incircle.
Points available at the Kimberling's Encyclopedia ETC.
The ETC version: The 8998 points version of 2015.
The "Discoverer" database version: October 2013.
Last update: 2016-04-08

      Kimberling Notation     Role  
  1     X(1) Incenter     Perspector and Homothetic Center of the Central Triangle of the Triad of the Circles which are the Inverse Image of Triangle ABC wrt the Incircle and the Intouch Triangle (Homothetic Triangles)  
  2     X(2) Centroid     Perspector and Homothetic Center of the Central Triangle of the Triad of the Circles which are the Inverse Image of Triangle ABC wrt the Incircle and the Triangle of Reflections of the Vertices of the Cevian Triangle of the Gergonne Point in the Spieker C  
  3     X(36) Inverse of the Incenter in the Circumcircle     Perspector and Homothetic Center of the Central Triangle of the Triad of the Circles which are the Inverse Image of Triangle ABC wrt the Incircle and the Triangle of Reflections of the Vertices of the Cevian Triangle of the Gergonne Point in the Schroder  
  4     X(165) Centroid of the Excentral Triangle     Perspector and Homothetic Center of the Central Triangle of the Triad of the Circles which are the Inverse Image of Triangle ABC wrt the Incircle and the Triangle of Reflections of the Vertices of the Cevian Triangle of the Gergonne Point in the Bevan Poi  
  5     X(354) Weill Point     Perspector and Homothetic Center of the Central Triangle of the Triad of the Circles which are the Inverse Image of Triangle ABC wrt the Incircle and the Triangle of Reflections of the Incenter in the Sidelines of the Cevian Triangle of the Gergonne Point  
  6     X(551)     Perspector and Homothetic Center of the Central Triangle of the Triad of the Circles which are the Inverse Image of Triangle ABC wrt the Incircle and the Triangle of Reflections of the Spieker Center in the Sidelines of the Cevian Triangle of the Centroid  
  7     X(942) Nine-Point Center of the Intouch Triangle     Perspector of the Central Triangle of the Triad of the Circles which are the Inverse Image of Triangle ABC wrt the Incircle and the Triangle of the Centers of the Taylor Circles of the Triangulation Triangles of the Incenter  
  8     X(999)     Perspector and Homothetic Center of the Central Triangle of the Triad of the Circles which are the Inverse Image of Triangle ABC wrt the Incircle and the Circum-Incentral Triangle (Homothetic Triangles)  
  9     X(1056)     Perspector and Homothetic Center of the Central Triangle of the Triad of the Circles which are the Inverse Image of Triangle ABC wrt the Incircle and the Triangle of Reflections of the Vertices of the Anticevian Triangle of the Incenter in the Spieker Cen  
  10     X(1125)     Perspector and Homothetic Center of the Central Triangle of the Triad of the Circles which are the Inverse Image of Triangle ABC wrt the Incircle and the Half-Cevian Triangle of the Nagel Point (Homothetic Triangles)  
  11     X(1699)     Perspector and Homothetic Center of the Central Triangle of the Triad of the Circles which are the Inverse Image of Triangle ABC wrt the Incircle and the Triangle of Reflections of the Vertices of the Cevian Triangle of the Gergonne Point in the Orthocent  
  12     X(3244)     Perspector of the Central Triangle of the Triad of the Circles which are the Inverse Image of Triangle ABC wrt the Incircle and the Pedal Triangle of the Midpoint of the Circumcenter and the Incenter  
  13     X(3295)     Perspector and Homothetic Center of the Central Triangle of the Triad of the Circles which are the Inverse Image of Triangle ABC wrt the Incircle and the Circum-Anticevian Triangle of the Incenter (Homothetic Triangles)  
  14     X(3296)     Perspector of the Central Triangle of the Triad of the Circles which are the Inverse Image of Triangle ABC wrt the Incircle and the Triangle ABC  
  15     X(3333) Pohoata Point     Perspector and Homothetic Center of the Central Triangle of the Triad of the Circles which are the Inverse Image of Triangle ABC wrt the Incircle and the Excentral Triangle (Homothetic Triangles)  
  16     X(3576)     Perspector and Homothetic Center of the Central Triangle of the Triad of the Circles which are the Inverse Image of Triangle ABC wrt the Incircle and the Triangle of Reflections of the Vertices of the Cevian Triangle of the Gergonne Point in the Circumcen  
  17     X(3679)     Perspector and Homothetic Center of the Central Triangle of the Triad of the Circles which are the Inverse Image of Triangle ABC wrt the Incircle and the Triangle of Reflections of the Vertices of the Cevian Triangle of the Gergonne Point in the Nagel Poi  
  18     X(5045)     Perspector and Homothetic Center of the Central Triangle of the Triad of the Circles which are the Inverse Image of Triangle ABC wrt the Incircle and the Triangle of the Feuerbach Points of the Cevian Corner Triangles of the Gergonne Point (Homothetic Tri  
  19     X(5131)     Perspector and Homothetic Center of the Central Triangle of the Triad of the Circles which are the Inverse Image of Triangle ABC wrt the Incircle and the Triangle of Reflections of the Vertices of the Cevian Triangle of the Gergonne Point in the Evans Per  
  20     X(5426)     Perspector and Homothetic Center of the Central Triangle of the Triad of the Circles which are the Inverse Image of Triangle ABC wrt the Incircle and the Triangle of Reflections of the Vertices of the Cevian Triangle of the Gergonne Point in the Schiffler  
  21     X(5542)     Perspector of the Central Triangle of the Triad of the Circles which are the Inverse Image of Triangle ABC wrt the Incircle and the Triangle of the Incenters of the Cevian Corner Triangles of the Centroid  
  22     X(5886)     Perspector and Homothetic Center of the Central Triangle of the Triad of the Circles which are the Inverse Image of Triangle ABC wrt the Incircle and the Triangle of Reflections of the Vertices of the Cevian Triangle of the Gergonne Point in the Nine-Poin  
  23     X(8092)     Perspector and Homothetic Center of the Central Triangle of the Triad of the Circles which are the Inverse Image of Triangle ABC wrt the Incircle and the Yff Central Triangle (Homothetic Triangles)