Table X-P
Perspectors of the Inverse Triangle 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: 2016-03-30

      Kimberling Notation     Role  
  1     X(1) Incenter     Perspector of the Inverse Triangle of Triangle ABC wrt the Incircle and the Triangle ABC  
  2     X(7) Gergonne Point     Perspector of the Inverse Triangle of Triangle ABC wrt the Incircle and the Triangle of the Orthocenters of the Triangulation Triangles of the Incenter  
  3     X(57) Isogonal Conjugate of the Mittenpunkt     Perspector and Homothetic Center of the Inverse Triangle of Triangle ABC wrt the Incircle and the Circum-Anticevian Triangle of the Incenter (Homothetic Triangles)  
  4     X(65) Orthocenter of the Intouch Triangle     Perspector and Homothetic Center of the Inverse Triangle of Triangle ABC wrt the Incircle and the Triangle of Reflections of the Vertices of the Cevian Triangle of the Gergonne Point in the Incenter (Homothetic Triangles)  
  5     X(142) Mittenpunkt of the Medial Triangle     Perspector of the Inverse Triangle of Triangle ABC wrt the Incircle and the Medial Triangle  
  6     X(177) Incenter of the Intouch Triangle     Perspector of the Inverse Triangle of Triangle ABC wrt the Incircle and the Monge Triangle of the Incircles of the Cevian Corner Triangles of the Gergonne Point  
  7     X(354) Weill Point     Perspector and Homothetic Center of the Inverse Triangle of Triangle ABC wrt the Incircle and the Intouch Triangle (Homothetic Triangles)  
  8     X(938)     Perspector and Homothetic Center of the Inverse Triangle of Triangle ABC wrt the Incircle and the Triangle of Reflections of the Vertices of the Anticevian Triangle of the Incenter in the Spieker Center (Homothetic Triangles)  
  9     X(942) Nine-Point Center of the Intouch Triangle     Perspector of the Inverse Triangle of Triangle ABC wrt the Incircle and the Pedal Triangle of the Nine-Point Center of the Intouch Triangle  
  10     X(946)     Perspector of the Inverse Triangle of Triangle ABC wrt the Incircle and the Monge Triangle of the Extouch Circles of the Anticevian Corner Triangles of the Centroid  
  11     X(962)     Perspector and Homothetic Center of the Inverse Triangle of Triangle ABC wrt the Incircle and the Triangle of the de Longchamps Points of the Cevian Corner Triangles of the Nagel Point (Homothetic Triangles)  
  12     X(1387)     Perspector of the Inverse Triangle of Triangle ABC wrt the Incircle and the Internal Moses Triangle of the Inner Yff Circles and the Circumcircle of the Outer Yff Triangle  
  13     X(3333) Pohoata Point     Perspector and Homothetic Center of the Inverse Triangle of Triangle ABC wrt the Incircle and the Hexyl Triangle (Homothetic Triangles)  
  14     X(3339)     Perspector and Homothetic Center of the Inverse Triangle of Triangle ABC wrt the Incircle and the Triangle of Reflections of the Vertices of the Anticevian Triangle of the Incenter in the Bevan Point (Homothetic Triangles)  
  15     X(3555)     Perspector and Homothetic Center of the Inverse Triangle 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 Center (Homothetic Triangles)  
  16     X(3664)     Perspector of the Inverse Triangle of Triangle ABC wrt the Incircle and the Triangle of the Centers of the Taylor Circles of the Triangulation Triangles of the Incenter  
  17     X(3874)     Perspector and Homothetic Center of the Inverse Triangle 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 (Homothetic Triangles)  
  18     X(5452)     Perspector of the Inverse Triangle of Triangle ABC wrt the Incircle and the Internal Moses Triangle of the Soddy Circles and the Cosine Circle  
  19     X(5836)     Perspector of the Inverse Triangle of Triangle ABC wrt the Incircle and the Triangle of the Circumcenters of the Pedal Corner Triangles of the Orthocenter of the Intouch Triangle  
  20     X(5901)     Perspector and Homothetic Center of the Inverse Triangle of Triangle ABC wrt the Incircle and the Triangle of the Nine-Point Centers of the Pedal Corner Triangles of the Reflection of the Circumcenter in the Incenter (Homothetic Triangles)  
  21     X(8083)     Perspector and Homothetic Center of the Inverse Triangle of Triangle ABC wrt the Incircle and the Yff Central Triangle (Homothetic Triangles)