Table X-P
Points of Excentral triangle
Points available at the Kimberling's Encyclopedia ETC.
The ETC version: The 13423 points version of 2017.
The "Discoverer" database version: October 2013.
Last update: 2017-08-10

      Kimberling Notation     Role  
  1     X(1) Incenter     X(4) Orthocenter of the Excentral Triangle  
  2     X(2) Centroid     X(51) Centroid of the Orthic Triangle of the Excentral Triangle  
  3     X(3) Circumcenter     X(5) Nine-Point Center of the Excentral Triangle  
  4     X(4) Orthocenter     X(52) Orthocenter of the Orthic Triangle of the Excentral Triangle  
  5     X(6) Symmedian Point     X(53) Symmedian Point of the Orthic Triangle of the Excentral Triangle  
  6     X(9) Mittenpunkt     X(6) Symmedian Point of the Excentral Triangle  
  7     X(10) Spieker Center     X(389) Center of the Taylor Circle of the Excentral Triangle  
  8     X(40) Bevan Point     X(3) Circumcenter of the Excentral Triangle  
  9     X(46) Prespector of the Excentral Triangle and the Orthic Triangle     X(24) Perspector of the Kosnita Triangle and the Orthic Triangle of the Excentral Triangle  
  10     X(57) Isogonal Conjugate of the Mittenpunkt     X(25) Product of the Orthocenter and the Symmedian Point of the Excentral Triangle  
  11     X(100) Anticompliment of the Feuerbach Point     X(125) Center of the Jerabek Hyperbola of the Excentral Triangle  
  12     X(101)     X(115) Kiepert Center of the Excentral Triangle  
  13     X(103)     X(114) Kiepert Antipode of the Excentral Triangle  
  14     X(104)     X(113) Jerabek Antipode of the Excentral Triangle  
  15     X(164) Incenter of the Excentral Triangle     X(1) Incenter of the Excentral Triangle  
  16     X(165) Centroid of the Excentral Triangle     X(2) Centroid of the Excentral Triangle  
  17     X(166) Gergonne Point of the Excentral Triangle     X(7) Gergonne Point of the Excentral Triangle  
  18     X(167) Nagel Point of the Excentral Triangle     X(8) Nagel Point of the Excentral Triangle  
  19     X(168) Mittenpunkt of the Excentral Triangle     X(9) Mittenpunkt of the Excentral Triangle  
  20     X(169)     X(32) Third Power Point of the Excentral Triangle  
  21     X(170)     X(76) Third Brocard Point of the Excentral Triangle  
  22     X(173) Congruent Isoscelizers Point     X(19) Clawson Point of the Excentral Triangle  
  23     X(188)     X(65) Orthocenter of the Intouch Triangle of the Excentral Triangle  
  24     X(191)     X(54) Kosnita Point of the Excentral Triangle  
  25     X(258)     X(33) Product of the Orthocenter and the Mittenpunkt of the Excentral Triangle  
  26     X(362)     X(31) Second Power Point of the Excentral Triangle  
  27     X(363) Equal Perimeters Isoscelizer Point     X(57) Isogonal Conjugate of the Mittenpunkt of the Excentral Triangle  
  28     X(503)     X(92) Isotomic Conjugate of the Isogonal Conjugate of the Clawson Point of the Excentral Triangle  
  29     X(504)     X(48) Product of the Incenter and the Circumcenter of the Excentral Triangle  
  30     X(505)     X(46) Perspector of the Excentral Triangle and the Orthic Triangle of the Excentral Triangle  
  31     X(573)     X(216) Center of the Circumhyperbola with the Nine-Point Center as Perspector of the Excentral Triangle  
  32     X(649)     X(647) Perspector of the Jerabek Hyperbola of the Excentral Triangle  
  33     X(844)     X(75) Moses Point of the Excentral Triangle  
  34     X(845)     X(63) Isogonal Conjugate of the Clawson Point of the Excentral Triangle  
  35     X(1054)     X(107) of the Excentral Triangle  
  36     X(1276) Second Evans Perspector     X(16) Second Isodynamic Point of the Excentral Triangle  
  37     X(1277) Third Evans Perspector     X(15) First Isodynamic Point of the Excentral Triangle  
  38     X(1282)     X(98) Tarry Point of the Excentral Triangle  
  39     X(1293)     X(122) of the Excentral Triangle  
  40     X(1490)     X(68) Prasolov Point of the Excentral Triangle  
  41     X(1742)     X(264) Isotomic Conjugate of the Circumcenter of the Excentral Triangle  
  42     X(1768)     X(110) Euler Reflection Point of the Excentral Triangle  
  43     X(2136)     X(64) Isogonal Conjugate of the de Longchamps Point of the Excentral Triangle  
  44     X(2938)     X(95) Isotomic Conjugate of the Nine-Point Center of the Excentral Triangle  
  45     X(2939)     X(96) Isogonal Conjugate of the Orthocenter of the Orthic Triangle of the Excentral Triangle  
  46     X(2941)     X(97) Isogonal Conjugate of the Symmedian Point of the Orthic Triangle of the Excentral Triangle  
  47     X(2948)     X(1141) Gibert Point of the Excentral Triangle  
  48     X(2951)     X(69) Retrocenter of the Excentral Triangle  
  49     X(3174)     X(66) Isogonal Conjugate of the Exeter Point of the Excentral Triangle  
  50     X(3576)     X(381) Center of the Orthocentroidal Circle of the Excentral Triangle  
  51     X(3659)     X(11) Feuerbach Point of the Excentral Triangle  
  52     X(3730)     X(39) Brocard Midpoint of the Excentral Triangle  
  53     X(3973)     X(1249) Center of the Circumhyperbola with the Orthocenter as Perspector of the Excentral Triangle  
  54     X(5011)     X(187) Schoute Center of the Excentral Triangle  
  55     X(5528)     X(67) Isogonal Conjugate of the Far-Out Point of the Excentral Triangle  
  56     X(5536)     X(23) Far-Out Point of the Excentral Triangle  
  57     X(5540)     X(112) of the Excentral Triangle  
  58     X(5541)     X(74) Ceva Product of the First Isodynamic Point and the Second Isodynamic Point of the Excentral Triangle  
  59     X(5709)     X(26) Circumcenter of the Tangential Triangle of the Excentral Triangle  
  60     X(6191)     X(62) Isogonal Conjugate of the Inner Napoleon Point of the Excentral Triangle  
  61     X(6192)     X(61) Isogonal Conjugate of the Outer Napoleon Point of the Excentral Triangle  
  62     X(6212)     X(372) Second Kenmotu Point of the Excentral Triangle  
  63     X(6213)     X(371) First Kenmotu Point of the Excentral Triangle  
  64     X(7597)     X(119) of the Excentral Triangle  
  65     X(7991)     X(20) de Longchamps Point of the Excentral Triangle  
  66     X(8078)     X(34) Product of the Gergonne Point and the Clawson Point of the Excentral Triangle  
  67     X(10496)     X(124) of the Excentral Triangle  
  68     X(10497)     X(118) of the Excentral Triangle  
  69     X(11752)     X(14) Inner Fermat Point of the Excentral Triangle  
  70     X(11789)     X(13) Outer Fermat Point of the Excentral Triangle  
  71     X(12518)     X(10) Spieker Center of the Excentral Triangle  
  72     X(12844)     X(355) Center of the Fuhrmann Circle of the Excentral Triangle