Table X-P
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

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