Table P-X
Points of the Euler Triangle.
Points available at the Kimberling's Encyclopedia ETC.
The ETC version: The 8116 points version of 2015.
The "Discoverer" database version: October 2013.
Last update: 2015-10-25

      Role     Kimberling Notation  
  1     X(1) Incenter of the Euler Triangle     X(946)    
  2     X(2) Centroid of the Euler Triangle     X(381)   Center of the Orthocentroidal Circle  
  3     X(3) Circumcenter of the Euler Triangle     X(5)   Nine-Point Center  
  4     X(4) Orthocenter of the Euler Triangle     X(4)   Orthocenter  
  5     X(5) Nine-Point Center of the Euler Triangle     X(546)    
  6     X(6) Symmedian Point of the Euler Triangle     X(5480)    
  7     X(7) Gergonne Point of the Euler Triangle     X(5805)    
  8     X(8) Nagel Point of the Euler Triangle     X(355)   Center of the Fuhrmann Circle  
  9     X(13) Outer Fermat Point of the Euler Triangle     X(5478)    
  10     X(14) Inner Fermat Point of the Euler Triangle     X(5479)    
  11     X(15) First Isodynamic Point of the Euler Triangle     X(7684)    
  12     X(16) Second Isodynamic Point of the Euler Triangle     X(7685)    
  13     X(20) de Longchamps Point of the Euler Triangle     X(3)   Circumcenter  
  14     X(21) Schiffler Point of the Euler Triangle     X(6841)    
  15     X(24) Perspector of the Kosnita Triangle and the Orthic Triangle of the Euler Triangle     X(235)    
  16     X(25) Product of the Orthocenter and the Symmedian Point of the Euler Triangle     X(1596)    
  17     X(40) Bevan Point of the Euler Triangle     X(10)   Spieker Center  
  18     X(52) Orthocenter of the Orthic Triangle of the Euler Triangle     X(5446)    
  19     X(54) Kosnita Point of the Euler Triangle     X(3574)    
  20     X(55) Internal Center of Similitude of the Incircle and the Circumcircle of the Euler Triangle     X(7680)    
  21     X(56) External Center of Similitude of the Incircle and the Circumcircle of the Euler Triangle     X(7681)    
  22     X(57) Isogonal Conjugate of the Mittenpunkt of the Euler Triangle     X(7682)    
  23     X(58) Isogonal Conjugate of the Spieker Center of the Euler Triangle     X(7683)    
  24     X(64) Isogonal Conjugate of the de Longchamps Point of the Euler Triangle     X(6247)    
  25     X(65) Orthocenter of the Intouch Triangle of the Euler Triangle     X(7686)    
  26     X(69) Retrocenter of the Euler Triangle     X(1352)    
  27     X(72) Quotient of the Grinberg Point and the Orthocenter of the Euler Triangle     X(5777)    
  28     X(74) Ceva Product of the First Isodynamic Point and the Second Isodynamic Point of the Euler Triangle     X(125)   Center of the Jerabek Hyperbola  
  29     X(76) Third Brocard Point of the Euler Triangle     X(6248)    
  30     X(80) Reflection of the Incenter in the Feuerbach Point of the Euler Triangle     X(6246)    
  31     X(83) Isogonal Conjugate of the Brocard Midpoint of the Euler Triangle     X(6249)    
  32     X(84) Perspector of Triangle ABC and the Hexyl Triangle of the Euler Triangle     X(6245)    
  33     X(98) Tarry Point of the Euler Triangle     X(115)   Kiepert Center  
  34     X(99) Steiner Point of the Euler Triangle     X(114)   Complement of the X(98),Tarry Point  
  35     X(100) Anticompliment of the Feuerbach Point of the Euler Triangle     X(119)    
  36     X(101) of the Euler Triangle     X(118)    
  37     X(102) of the Euler Triangle     X(124)    
  38     X(103) of the Euler Triangle     X(116)    
  39     X(104) of the Euler Triangle     X(11)   Feuerbach Point  
  40     X(105) of the Euler Triangle     X(5511)    
  41     X(106) of the Euler Triangle     X(5510)    
  42     X(107) of the Euler Triangle     X(133)    
  43     X(109) of the Euler Triangle     X(117)    
  44     X(110) Euler Reflection Point of the Euler Triangle     X(113)   Complement of the X(74),Ceva Product of the First Isodynamic Point and the Second Isodynamic Point  
  45     X(111) Parry Point of the Euler Triangle     X(5512)    
  46     X(112) of the Euler Triangle     X(132)    
  47     X(125) Center of the Jerabek Hyperbola of the Euler Triangle     X(7687)    
  48     X(381) Center of the Orthocentroidal Circle of the Euler Triangle     X(3845)    
  49     X(485) Outer Vecten Point of the Euler Triangle     X(6250)    
  50     X(486) Inner Vecten Point of the Euler Triangle     X(6251)    
  51     X(1141) Gibert Point of the Euler Triangle     X(137)