Table X-P
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

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