Table X-P
Perspectors
Points available at the Kimberling's Encyclopedia ETC.
The ETC version: The 12433 points version of 2017.
The "Discoverer" database version: October 2013.
Last update: 2017-05-23

      Kimberling Notation     Role  
  1     X(1) Incenter     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Anticevian Triangle of the Mittenpunkt  
  2     X(1) Incenter     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Triangle of Reflections of the Incenter in the Sidelines of the Pedal Triangle of the External Center of Similitude of the Incircle and the Circumcircle  
  3     X(1) Incenter     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Triangle of Reflections of the Incenter in the Sidelines of the Antipedal Triangle of the Nagel Point  
  4     X(1) Incenter     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Triangle of Reflections of the Vertices of the Cevian Triangle of the Nagel Point in the Spieker Center  
  5     X(1) Incenter     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Triangle of Reflections of the Vertices of the Anticevian Triangle of the Mittenpunkt in the Incenter  
  6     X(1) Incenter     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Triangle of Reflections of the Vertices of the Anticevian Triangle of the Nagel Point in the Spieker Center  
  7     X(1) Incenter     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Triangle of the Orthocenters of the Triangulation Triangles of the Perspector of Triangle ABC and the Hexyl Triangle  
  8     X(1) Incenter     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Triangle of the Centroids of the Anticevian Corner Triangles of the Mittenpunkt  
  9     X(1) Incenter     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Half-Cevian Triangle of the Gergonne Point  
  10     X(2) Centroid     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Triangle of the Centroids of the Anticevian Corner Triangles of the Reflection of the Centroid in the Nagel Point  
  11     X(145) Nagel Point of the Anticomplementary Triangle     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Cevian Triangle of the Reflection of the Nagel Point in the Incenter  
  12     X(145) Nagel Point of the Anticomplementary Triangle     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Anticevian Triangle of the Reflection of the Nagel Point in the Incenter  
  13     X(145) Nagel Point of the Anticomplementary Triangle     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Circumcevian Triangle of the Reflection of the Nagel Point in the Incenter  
  14     X(145) Nagel Point of the Anticomplementary Triangle     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Anticevian Euler Triangle of the Reflection of the Nagel Point in the Incenter  
  15     X(145) Nagel Point of the Anticomplementary Triangle     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Half-Cevian Triangle of the Reflection of the Nagel Point in the Incenter  
  16     X(145) Nagel Point of the Anticomplementary Triangle     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Half-Anticevian Triangle of the Reflection of the Nagel Point in the Incenter  
  17     X(145) Nagel Point of the Anticomplementary Triangle     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Half-Circumcevian Triangle of the Reflection of the Nagel Point in the Incenter  
  18     X(145) Nagel Point of the Anticomplementary Triangle     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the External Moses Triangle of the Excircles and the Incircle of the Antimedial Triangle  
  19     X(145) Nagel Point of the Anticomplementary Triangle     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the External Moses Triangle of the Mixtilinear Incircles and the Incircle of the Antimedial Triangle  
  20     X(145) Nagel Point of the Anticomplementary Triangle     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the External Moses Triangle of the Malfatti Circles and the Incircle of the Antimedial Triangle  
  21     X(1317)     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Triangle of Reflections of the Vertices of the Anticevian Triangle of the Center of the Stevanovic Circle in the Incenter  
  22     X(1482)     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Pedal Triangle of the Reflection of the Circumcenter in the Incenter  
  23     X(1482)     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Triangle of Reflections of the Vertices of the Anticevian Triangle of the Symmedian Point in the Incenter  
  24     X(1482)     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Triangle of Reflections of the Vertices of the Pedal Triangle of the Nagel Point in the Nine-Point Center  
  25     X(1482)     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Triangle of the Orthocenters of the Triangulation Triangles of the Reflection of the Circumcenter in the Incenter  
  26     X(1482)     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Half-Pedal Triangle of the Reflection of the Nagel Point in the Incenter  
  27     X(1482)     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Half-Antipedal Triangle of the Reflection of the Orthocenter in the Nagel Point  
  28     X(1482)     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Hatzipolakis Triangle of the Reflection of the Circumcenter in the Incenter  
  29     X(3241)     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Stevanovic Triangle of the de Longchamps Points of the Triangulation Triangles of the Incenter  
  30     X(3242)     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Triangle of Reflections of the Vertices of the Anticevian Triangle of the Circumcenter in the Incenter  
  31     X(3243)     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Triangle of Reflections of the Vertices of the Anticevian Triangle of the Incenter in the Incenter  
  32     X(3243)     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Triangle of the de Longchamps Points of the Anticevian Corner Triangles of the Incenter  
  33     X(3244)     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Triangle of Reflections of the Vertices of the Anticevian Triangle of the Grinberg Point in the Incenter  
  34     X(3244)     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Triangle of the Nagel Points of the Pedal Corner Triangles of the Reflection of the Circumcenter in the Incenter  
  35     X(3756)     Perspector of the Triangle of Reflections of the Vertices of the Medial Triangle in the Incenter and the Triangle of the Centroids of the Cevian Corner Triangles of the Reflection of the Nagel Point in the Incenter