Table P-X
Perspectors of the Fourth Brocard Triangle.
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: 2016-02-23

      Role     Kimberling Notation  
  1     Perspector of the Fourth Brocard Triangle and Triangle ABC     X(2)   Centroid  
  2     Perspector of the Fourth Brocard Triangle and the Medial Triangle     X(2)   Centroid  
  3     Perspector of the Fourth Brocard Triangle and the Antimedial Triangle     X(2)   Centroid  
  4     Perspector of the Fourth Brocard Triangle and the Half-Median Triangle     X(2)   Centroid  
  5     Perspector of the Fourth Brocard Triangle and the Circum-Medial Triangle     X(2)   Centroid  
  6     Perspector of the Fourth Brocard Triangle and the Anticevian Triangle of the Parry Point     X(8877)    
  7     Perspector of the Fourth Brocard Triangle and the Anticevian Triangle of the Perspector and Homothetic Center of the Orthic Triangle and the Tangential Triangle     X(8792)    
  8     Perspector of the Fourth Brocard Triangle and the Cevian Triangle of the Perspector of the Half-Symmedian Triangle and the Orthic Triangle     X(8792)    
  9     Perspector of the Fourth Brocard Triangle and the Outer Napoleon Triangle     X(15)   First Isodynamic Point  
  10     Perspector of the Fourth Brocard Triangle and the Inner Napoleon Triangle     X(16)   Second Isodynamic Point  
  11     Perspector of the Fourth Brocard Triangle and the Triangle of Reflections of the Symmedian Point in the Sidelines of the Anticevian Triangle of the Incenter     X(2)   Centroid  
  12     Perspector of the Fourth Brocard Triangle and the Triangle of Reflections of the Centroid in the Sidelines of the Pedal Triangle of the Symmedian Point     X(2)   Centroid  
  13     Perspector of the Fourth Brocard Triangle and the Triangle of Reflections of the Symmedian Point in the Sidelines of the Pedal Triangle of the Far-Out Point     X(6)   Symmedian Point  
  14     Perspector of the Fourth Brocard Triangle and the Triangle of Reflections of the Centroid in the Sidelines of the Antipedal Triangle of the Centroid     X(2)   Centroid  
  15     Perspector of the Fourth Brocard Triangle and the Triangle of Reflections of the Vertices of Triangle ABC in the Centroid     X(2)   Centroid  
  16     Perspector of the Fourth Brocard Triangle and the Triangle of Reflections of the Vertices of the Cevian Triangle of the Centroid in the Centroid     X(2)   Centroid  
  17     Perspector of the Fourth Brocard Triangle and the Triangle of Reflections of the Vertices of the Anticevian Triangle of the Symmedian Point in the Euler Reflection Point     X(6)   Symmedian Point  
  18     Perspector of the Fourth Brocard Triangle and the Triangle of Reflections of the Vertices of the Pedal Triangle of the Symmedian Point in the Symmedian Point     X(2)   Centroid  
  19     Perspector of the Fourth Brocard Triangle and the Triangle of the Centroids of the Triangulation Triangles of the Centroid     X(2)   Centroid  
  20     Perspector of the Fourth Brocard Triangle and the Triangle of the Outer Napoleon Points of the Triangulation Triangles of the First Isodynamic Point     X(15)   First Isodynamic Point  
  21     Perspector of the Fourth Brocard Triangle and the Stevanovic Triangle of the Nine-Point Centers of the Triangulation Triangles of the First Isodynamic Point     X(61)   Isogonal Conjugate of the Outer Napoleon Point  
  22     Perspector of the Fourth Brocard Triangle and the Stevanovic Triangle of the Outer Napoleon Points of the Triangulation Triangles of the First Isodynamic Point     X(15)   First Isodynamic Point  
  23     Perspector of the Fourth Brocard Triangle and the Stevanovic Triangle of the Nine-Point Centers of the Triangulation Triangles of the Second Isodynamic Point     X(62)   Isogonal Conjugate of the Inner Napoleon Point  
  24     Perspector of the Fourth Brocard Triangle and the Triangle of the Euler Reflection Points of the Anticevian Corner Triangles of the Centroid     X(6)   Symmedian Point  
  25     Perspector of the Fourth Brocard Triangle and the Triangle of the Centroids of the Anticevian Corner Triangles of the Parry Point     X(6)   Symmedian Point  
  26     Perspector of the Fourth Brocard Triangle and the Triangle of the Inner Napoleon Points of the Pedal Corner Triangles of the First Isodynamic Point     X(2)   Centroid  
  27     Perspector of the Fourth Brocard Triangle and the Triangle of the Outer Napoleon Points of the Pedal Corner Triangles of the Second Isodynamic Point     X(2)   Centroid  
  28     Perspector of the Fourth Brocard Triangle and the Triangle of the Second Isodynamic Points of the Pedal Corner Triangles of the Outer Napoleon Point     X(2)   Centroid  
  29     Perspector of the Fourth Brocard Triangle and the Triangle of the Inner Vecten Points of the Pedal Corner Triangles of the First Kenmotu Point     X(2)   Centroid  
  30     Perspector of the Fourth Brocard Triangle and the Triangle of the Second Kenmotu Points of the Pedal Corner Triangles of the Outer Vecten Point     X(2)   Centroid  
  31     Perspector of the Fourth Brocard Triangle and the Half-Antipedal Triangle of the Center of the Orthocentroidal Circle     X(566)    
  32     Perspector and Homothetic Center of the Fourth Brocard Triangle and the Half-Circumcevian Triangle of the Centroid (Homothetic Triangles)     X(2)   Centroid  
  33     Perspector of the Fourth Brocard Triangle and the Monge Triangle of the Incircles of the Triangulation Triangles of the Centroid     X(2)   Centroid  
  34     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Excircles and the Spieker Circle     X(2)   Centroid  
  35     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Mixtilinear Incircles and the Spieker Circle     X(2)   Centroid  
  36     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Lucas Circles and the Nine-Point Circle     X(2)   Centroid  
  37     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Lucas Circles and the Antimedial Circle     X(2)   Centroid  
  38     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Malfatti Circles and the Spieker Circle     X(2)   Centroid  
  39     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Inner Yff Circles and the Spieker Circle     X(2)   Centroid  
  40     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Outer Yff Circles and the Spieker Circle     X(2)   Centroid  
  41     Perspector of the Fourth Brocard Triangle and the External Moses Triangle of the Excircles and the Spieker Circle of the Medial Triangle     X(2)   Centroid  
  42     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Excircles and the Incircle of the Antimedial Triangle     X(2)   Centroid  
  43     Perspector of the Fourth Brocard Triangle and the External Moses Triangle of the Mixtilinear Incircles and the Spieker Circle of the Medial Triangle     X(2)   Centroid  
  44     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Mixtilinear Incircles and the Incircle of the Antimedial Triangle     X(2)   Centroid  
  45     Perspector of the Fourth Brocard Triangle and the External Moses Triangle of the Lucas Circles and the Nine-Point Circle of the Medial Triangle     X(2)   Centroid  
  46     Perspector of the Fourth Brocard Triangle and the External Moses Triangle of the Lucas Circles and the Antimedial Circle of the Antimedial Triangle     X(2)   Centroid  
  47     Perspector of the Fourth Brocard Triangle and the External Moses Triangle of the Malfatti Circles and the Spieker Circle of the Medial Triangle     X(2)   Centroid  
  48     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Malfatti Circles and the Incircle of the Antimedial Triangle     X(2)   Centroid  
  49     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Johnson Circles and the Nine-Point Circle of the Medial Triangle     X(2)   Centroid  
  50     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Johnson Circles and the Antimedial Circle of the Antimedial Triangle     X(2)   Centroid  
  51     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Inner Yff Circles and the Incircle of the Antimedial Triangle     X(2)   Centroid  
  52     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Outer Yff Circles and the Incircle of the Antimedial Triangle     X(2)   Centroid  
  53     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Soddy Circles and the Orthocentroidal Circle of the Johnson Triangle     X(2)   Centroid  
  54     Perspector of the Fourth Brocard Triangle and the External Moses Triangle of the Soddy Circles and the Orthocentroidal Circle of the Johnson Triangle     X(2)   Centroid  
  55     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Excircles and the Spieker Circle of the Half-Median Triangle     X(2)   Centroid  
  56     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Mixtilinear Incircles and the Spieker Circle of the Half-Median Triangle     X(2)   Centroid  
  57     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Soddy Circles and the Cosine Circle of the Honsberger Triangle     X(2)   Centroid  
  58     Perspector of the Fourth Brocard Triangle and the External Moses Triangle of the Soddy Circles and the Cosine Circle of the Honsberger Triangle     X(2)   Centroid  
  59     Perspector of the Fourth Brocard Triangle and the External Moses Triangle of the Lucas Circles and the Brocard Circle of the First Brocard Triangle     X(2)   Centroid  
  60     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Lucas Circles and the Nine-Point Circle of the Half-Median Triangle     X(2)   Centroid  
  61     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Malfatti Circles and the Spieker Circle of the Half-Median Triangle     X(2)   Centroid  
  62     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Johnson Circles and the Brocard Circle of the First Brocard Triangle     X(2)   Centroid  
  63     Perspector of the Fourth Brocard Triangle and the External Moses Triangle of the Johnson Circles and the Nine-Point Circle of the Half-Median Triangle     X(2)   Centroid  
  64     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Inner Yff Circles and the Spieker Circle of the Half-Median Triangle     X(2)   Centroid  
  65     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Outer Yff Circles and the Spieker Circle of the Half-Median Triangle     X(2)   Centroid  
  66     Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Lucas Circles and the Johnson Circles     X(2)   Centroid