Table P-X
Perspectors of the Second 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 Second Brocard Triangle and the Triangle ABC     X(6)   Symmedian Point  
  2     Perspector of the Second Brocard Triangle and the Symmedial Triangle     X(6)   Symmedian Point  
  3     Perspector of the Second Brocard Triangle and the Tangential Triangle     X(6)   Symmedian Point  
  4     Perspector of the Second Brocard Triangle and the Inner Grebe Triangle     X(6)   Symmedian Point  
  5     Perspector of the Second Brocard Triangle and the Outer Grebe Triangle     X(6)   Symmedian Point  
  6     Perspector of the Second Brocard Triangle and the First Brocard Triangle     X(2)   Centroid  
  7     Perspector of the Second Brocard Triangle and the Half-Symmedian Triangle     X(6)   Symmedian Point  
  8     Perspector of the Second Brocard Triangle and the Circumcevian Triangle of the Symmedian Point     X(6)   Symmedian Point  
  9     Perspector of the Second Brocard Triangle and the Anticevian Triangle of the Retrocenter     X(8788)    
  10     Perspector of the Second Brocard Triangle and the Cevian Triangle of the Symmedian Point of the Medial Triangle     X(8788)    
  11     Perspector of the Second Brocard Triangle and the Triangle of Reflections of the Centroid in the Sidelines of the Anticevian Triangle of the Incenter     X(6)   Symmedian Point  
  12     Perspector of the Second Brocard Triangle and the Triangle of Reflections of the Centroid in the Sidelines of the Pedal Triangle of the Schoute Center     X(2)   Centroid  
  13     Perspector of the Second Brocard Triangle and the Triangle of Reflections of the Symmedian Point in the Sidelines of the Pedal Triangle of the Centroid     X(6)   Symmedian Point  
  14     Perspector of the Second Brocard Triangle and the Triangle of Reflections of the Symmedian Point in the Sidelines of the Antipedal Triangle of the Symmedian Point     X(6)   Symmedian Point  
  15     Perspector of the Second Brocard Triangle and the Triangle of Reflections of the First Isodynamic Point in the Sidelines of the Antipedal Triangle of the Second Isodynamic Point     X(16)   Second Isodynamic Point  
  16     Perspector of the Second Brocard Triangle and the Triangle of Reflections of the Second Isodynamic Point in the Sidelines of the Antipedal Triangle of the First Isodynamic Point     X(15)   First Isodynamic Point  
  17     Perspector of the Second Brocard Triangle and the Triangle of Reflections of the Vertices of Triangle ABC in the Symmedian Point     X(6)   Symmedian Point  
  18     Perspector of the Second Brocard Triangle and the Triangle of Reflections of the Vertices of Triangle ABC in the Kiepert Center     X(2)   Centroid  
  19     Perspector of the Second Brocard Triangle and the Triangle of Reflections of the Vertices of the Cevian Triangle of the Symmedian Point in the Symmedian Point     X(6)   Symmedian Point  
  20     Perspector of the Second Brocard Triangle and the Triangle of Reflections of the Vertices of the Anticevian Triangle of the Symmedian Point in the Symmedian Point     X(6)   Symmedian Point  
  21     Perspector of the Second Brocard Triangle and the Triangle of Reflections of the Vertices of the Anticevian Triangle of the Centroid in the Steiner Point     X(2)   Centroid  
  22     Perspector of the Second Brocard Triangle and the Triangle of the Orthocenters of the Triangulation Triangles of the Reflection of the Symmedian Point in the Nine-Point Center     X(3148)    
  23     Perspector of the Second Brocard Triangle and the Triangle of the Centroids of the Triangulation Triangles of the Perspector of the Antimedial Triangle and the Orthic Triangle     X(6)   Symmedian Point  
  24     Perspector of the Second Brocard Triangle and the Triangle of the Symmedian Points of the Cevian Corner Triangles of the Centroid     X(6)   Symmedian Point  
  25     Perspector of the Second Brocard Triangle and the Triangle of the Steiner Points of the Cevian Corner Triangles of the Centroid     X(2)   Centroid  
  26     Perspector of the Second Brocard Triangle and the Triangle of the Centroids of the Cevian Corner Triangles of the Orthocenter     X(6)   Symmedian Point  
  27     Perspector of the Second Brocard Triangle and the Triangle of the Euler Reflection Points of the Cevian Corner Triangles of the Steiner Point     X(6)   Symmedian Point  
  28     Perspector of the Second Brocard Triangle and the Triangle of the Centers of the Lester Circles of the Cevian Corner Triangles of the Steiner Point     X(2)   Centroid  
  29     Perspector of the Second Brocard Triangle and the Triangle of the Inner Napoleon Points of the Pedal Corner Triangles of the Outer Fermat Point     X(6)   Symmedian Point  
  30     Perspector of the Second Brocard Triangle and the Triangle of the Outer Napoleon Points of the Pedal Corner Triangles of the Inner Fermat Point     X(6)   Symmedian Point  
  31     Perspector of the Second Brocard Triangle and the Triangle of the Inner Fermat Points of the Pedal Corner Triangles of the Outer Napoleon Point     X(6)   Symmedian Point  
  32     Perspector of the Second Brocard Triangle and the Triangle of the Second Kenmotu Points of the Pedal Corner Triangles of the First Kenmotu Point     X(6)   Symmedian Point  
  33     Perspector of the Second Brocard Triangle and the Triangle of the Inner Vecten Points of the Pedal Corner Triangles of the Outer Vecten Point     X(6)   Symmedian Point  
  34     Perspector of the Second Brocard Triangle and the Anticevian Euler Triangle of the Symmedian Point     X(6)   Symmedian Point  
  35     Perspector of the Second Brocard Triangle and the Half-Anticevian Triangle of the Symmedian Point     X(6)   Symmedian Point  
  36     Perspector of the Second Brocard Triangle and the Half-Antipedal Triangle of the Center of the Brocard Circle     X(3117)    
  37     Perspector of the Second Brocard Triangle and the Monge Triangle of the Incircles of the Triangulation Triangles of the Symmedian Point     X(6)   Symmedian Point  
  38     Perspector of the Second Brocard Triangle and the Internal Moses Triangle of the Soddy Circles and the Cosine Circle     X(6)   Symmedian Point  
  39     Perspector of the Second Brocard Triangle and the External Moses Triangle of the Soddy Circles and the Cosine Circle     X(6)   Symmedian Point  
  40     Perspector of the Second Brocard Triangle and the External Moses Triangle of the Lucas Circles and the Half-Moses Circle     X(6)   Symmedian Point  
  41     Perspector of the Second Brocard Triangle and the Internal Moses Triangle of the Apollonian Circles and the Circumcircle     X(3)   Circumcenter  
  42     Perspector of the Second Brocard Triangle and the External Moses Triangle of the Apollonian Circles and the Circumcircle     X(3)   Circumcenter  
  43     Perspector of the Second Brocard Triangle and the Internal Moses Triangle of the Apollonian Circles and the Second Brocard Circle     X(3)   Circumcenter  
  44     Perspector of the Second Brocard Triangle and the External Moses Triangle of the Apollonian Circles and the Second Brocard Circle     X(3)   Circumcenter  
  45     Perspector of the Second Brocard Triangle and the External Moses Triangle of the Johnson Circles and the Antimedial Circle of the Tangential Triangle     X(6)   Symmedian Point  
  46     Perspector of the Second Brocard Triangle and the Internal Moses Triangle of the Excircles and the Incircle of the Inner Grebe Triangle     X(6)   Symmedian Point  
  47     Perspector of the Second Brocard Triangle and the External Moses Triangle of the Excircles and the Incircle of the Outer Grebe Triangle     X(6)   Symmedian Point  
  48     Perspector of the Second Brocard Triangle and the Internal Moses Triangle of the Mixtilinear Incircles and the Incircle of the Inner Grebe Triangle     X(6)   Symmedian Point  
  49     Perspector of the Second Brocard Triangle and the External Moses Triangle of the Mixtilinear Incircles and the Incircle of the Outer Grebe Triangle     X(6)   Symmedian Point  
  50     Perspector of the Second Brocard Triangle and the Internal Moses Triangle of the Soddy Circles and the Cosine Circle of the Inner Grebe Triangle     X(6)   Symmedian Point  
  51     Perspector of the Second Brocard Triangle and the External Moses Triangle of the Soddy Circles and the Cosine Circle of the Inner Grebe Triangle     X(6)   Symmedian Point  
  52     Perspector of the Second Brocard Triangle and the Internal Moses Triangle of the Soddy Circles and the Cosine Circle of the Outer Grebe Triangle     X(6)   Symmedian Point  
  53     Perspector of the Second Brocard Triangle and the External Moses Triangle of the Soddy Circles and the Cosine Circle of the Outer Grebe Triangle     X(6)   Symmedian Point  
  54     Perspector of the Second Brocard Triangle and the Internal Moses Triangle of the Lucas Circles and the Circumcircle of the Inner Grebe Triangle     X(6)   Symmedian Point  
  55     Perspector of the Second Brocard Triangle and the Internal Moses Triangle of the Lucas Circles and the Half-Moses Circle of the Inner Grebe Triangle     X(6)   Symmedian Point  
  56     Perspector of the Second Brocard Triangle and the External Moses Triangle of the Lucas Circles and the Circumcircle of the Outer Grebe Triangle     X(6)   Symmedian Point  
  57     Perspector of the Second Brocard Triangle and the External Moses Triangle of the Lucas Circles and the Half-Moses Circle of the Outer Grebe Triangle     X(6)   Symmedian Point  
  58     Perspector of the Second Brocard Triangle and the Internal Moses Triangle of the Malfatti Circles and the Incircle of the Inner Grebe Triangle     X(6)   Symmedian Point  
  59     Perspector of the Second Brocard Triangle and the External Moses Triangle of the Malfatti Circles and the Incircle of the Outer Grebe Triangle     X(6)   Symmedian Point  
  60     Perspector of the Second Brocard Triangle and the Internal Moses Triangle of the Johnson Circles and the Nine-Point Circle of the Inner Grebe Triangle     X(6)   Symmedian Point  
  61     Perspector of the Second Brocard Triangle and the External Moses Triangle of the Johnson Circles and the Nine-Point Circle of the Outer Grebe Triangle     X(6)   Symmedian Point  
  62     Perspector of the Second Brocard Triangle and the Internal Moses Triangle of the Inner Yff Circles and the Incircle of the Inner Grebe Triangle     X(6)   Symmedian Point  
  63     Perspector of the Second Brocard Triangle and the External Moses Triangle of the Inner Yff Circles and the Incircle of the Outer Grebe Triangle     X(6)   Symmedian Point  
  64     Perspector of the Second Brocard Triangle and the Internal Moses Triangle of the Outer Yff Circles and the Incircle of the Inner Grebe Triangle     X(6)   Symmedian Point  
  65     Perspector of the Second Brocard Triangle and the External Moses Triangle of the Outer Yff Circles and the Incircle of the Outer Grebe Triangle     X(6)   Symmedian Point  
  66     Perspector of the Second Brocard Triangle and the Internal Moses Triangle of the Apollonian Circles and the Antimedial Circle of the Johnson Triangle     X(3)   Circumcenter  
  67     Perspector of the Second Brocard Triangle and the External Moses Triangle of the Apollonian Circles and the Antimedial Circle of the Johnson Triangle     X(3)   Circumcenter  
  68     Perspector of the Second Brocard Triangle and the Internal Moses Triangle of the Soddy Circles and the Cosine Circle of the Fourth Brocard Triangle     X(6)   Symmedian Point  
  69     Perspector of the Second Brocard Triangle and the External Moses Triangle of the Soddy Circles and the Cosine Circle of the Fourth Brocard Triangle     X(6)   Symmedian Point