Table P-X
Leversha Points
Points available in the Kimberling's Encyclopedia ETC.
The ETC version: The 12433 points version of 2017.
The "Discoverer" database version: October 2013.
Last update: 2017-05-31

      Role     Kimberling Notation  
  1     Leversha Point of the X(1) Incenter     X(1125)    
  2     Leversha Point of the X(2) Centroid     X(2)   Centroid  
  3     Leversha Point of the X(3) Circumcenter     X(140)   Nine-Point Center of the Medial Triangle  
  4     Leversha Point of the X(4) Orthocenter     X(5)   Nine-Point Center  
  5     Leversha Point of the X(5) Nine-Point Center     X(3628)    
  6     Leversha Point of the X(6) Symmedian Point     X(3589)    
  7     Leversha Point of the X(7) Gergonne Point     X(142)   Mittenpunkt of the Medial Triangle  
  8     Leversha Point of the X(8) Nagel Point     X(10)   Spieker Center  
  9     Leversha Point of the X(9) Mittenpunkt     X(6666)    
  10     Leversha Point of the X(10) Spieker Center     X(3634)    
  11     Leversha Point of the X(11) Feuerbach Point     X(6667)    
  12     Leversha Point of the X(12) Feuerbach Perspector     X(6668)    
  13     Leversha Point of the X(13) Outer Fermat Point     X(6669)    
  14     Leversha Point of the X(14) Inner Fermat Point     X(6670)    
  15     Leversha Point of the X(15) First Isodynamic Point     X(6671)    
  16     Leversha Point of the X(16) Second Isodynamic Point     X(6672)    
  17     Leversha Point of the X(17) Outer Napoleon Point     X(6673)    
  18     Leversha Point of the X(18) Inner Napoleon Point     X(6674)    
  19     Leversha Point of the X(20) de Longchamps Point     X(3)   Circumcenter  
  20     Leversha Point of the X(21) Schiffler Point     X(6675)    
  21     Leversha Point of the X(22) Exeter Point     X(6676)    
  22     Leversha Point of the X(23) Far-Out Point     X(468)    
  23     Leversha Point of the X(25) Product of the Orthocenter and the Symmedian Point     X(6677)    
  24     Leversha Point of the X(26) Circumcenter of the Tangential Triangle     X(10020)    
  25     Leversha Point of the X(27) Quotient of the Orthocenter and the Spieker Center     X(6678)    
  26     Leversha Point of the X(31) Second Power Point     X(6679)    
  27     Leversha Point of the X(32) Third Power Point     X(6680)    
  28     Leversha Point of the X(36) Inverse of the Incenter in the Circumcircle     X(6681)    
  29     Leversha Point of the X(37) Grinberg Point     X(4698)    
  30     Leversha Point of the X(38) Quotient of the Brocard Midpoint and the Incenter     X(6682)    
  31     Leversha Point of the X(39) Brocard Midpoint     X(6683)    
  32     Leversha Point of the X(40) Bevan Point     X(6684)    
  33     Leversha Point of the X(42) Product of the Incenter and the Grinberg Point     X(6685)    
  34     Leversha Point of the X(43) Perspector of the Excentral Triangle and the Symmedial Triangle     X(6686)    
  35     Leversha Point of the X(44) Harmonic Conjugate of the Grinberg Point with respect to the Mittenpunkt and the Symmedian Point     X(6687)    
  36     Leversha Point of the X(51) Centroid of the Orthic Triangle     X(6688)    
  37     Leversha Point of the X(52) Orthocenter of the Orthic Triangle     X(5462)    
  38     Leversha Point of the X(54) Kosnita Point     X(6689)    
  39     Leversha Point of the X(55) Internal Center of Similitude of the Incircle and the Circumcircle     X(6690)    
  40     Leversha Point of the X(56) External Center of Similitude of the Incircle and the Circumcircle     X(6691)    
  41     Leversha Point of the X(57) Isogonal Conjugate of the Mittenpunkt     X(6692)    
  42     Leversha Point of the X(58) Isogonal Conjugate of the Spieker Center     X(6693)    
  43     Leversha Point of the X(61) Isogonal Conjugate of the Outer Napoleon Point     X(6694)    
  44     Leversha Point of the X(62) Isogonal Conjugate of the Inner Napoleon Point     X(6695)    
  45     Leversha Point of the X(63) Isogonal Conjugate of the Clawson Point     X(5745)    
  46     Leversha Point of the X(64) Isogonal Conjugate of the de Longchamps Point     X(6696)    
  47     Leversha Point of the X(65) Orthocenter of the Intouch Triangle     X(3812)    
  48     Leversha Point of the X(66) Isogonal Conjugate of the Exeter Point     X(6697)    
  49     Leversha Point of the X(67) Isogonal Conjugate of the Far-Out Point     X(6698)    
  50     Leversha Point of the X(68) Prasolov Point     X(5449)    
  51     Leversha Point of the X(69) Retrocenter     X(141)   Symmedian Point of the Medial Triangle  
  52     Leversha Point of the X(72) Quotient of the Grinberg Point and the Orthocenter     X(5044)    
  53     Leversha Point of the X(74) Ceva Product of the First Isodynamic Point and the Second Isodynamic Point     X(6699)    
  54     Leversha Point of the X(75) Moses Point     X(3739)    
  55     Leversha Point of the X(76) Third Brocard Point     X(3934)    
  56     Leversha Point of the X(78) Quotient of the Mittenpunkt and the Orthocenter     X(6700)    
  57     Leversha Point of the X(79) Perspector and Triangle of Reflections of the Incenter in the Sidelines     X(6701)    
  58     Leversha Point of the X(80) Reflection of the Incenter in the Feuerbach Point     X(6702)    
  59     Leversha Point of the X(81) Isogonal Conjugate of the Grinberg Point     X(6703)    
  60     Leversha Point of the X(83) Isogonal Conjugate of the Brocard Midpoint     X(6704)    
  61     Leversha Point of the X(84) Perspector and the Hexyl Triangle     X(6705)    
  62     Leversha Point of the X(85) Isotomic Conjugate of the Mittenpunkt     X(6706)    
  63     Leversha Point of the X(86) Isotomic Conjugate of the Spieker Center     X(6707)    
  64     Leversha Point of the X(92) Isotomic Conjugate of the Isogonal Conjugate of the Clawson Point     X(6708)    
  65     Leversha Point of the X(95) Isotomic Conjugate of the Nine-Point Center     X(6709)    
  66     Leversha Point of the X(98) Tarry Point     X(6036)    
  67     Leversha Point of the X(99) Steiner Point     X(620)    
  68     Leversha Point of the X(100) Anticompliment of the Feuerbach Point     X(3035)    
  69     Leversha Point of the X(101)     X(6710)    
  70     Leversha Point of the X(102)     X(6711)    
  71     Leversha Point of the X(103)     X(6712)    
  72     Leversha Point of the X(104)     X(6713)    
  73     Leversha Point of the X(105)     X(6714)    
  74     Leversha Point of the X(106)     X(6715)    
  75     Leversha Point of the X(107)     X(6716)    
  76     Leversha Point of the X(108)     X(6717)    
  77     Leversha Point of the X(109)     X(6718)    
  78     Leversha Point of the X(110) Euler Reflection Point     X(5972)    
  79     Leversha Point of the X(111) Parry Point     X(6719)    
  80     Leversha Point of the X(112)     X(6720)    
  81     Leversha Point of the X(114) Kiepert Antipode     X(6721)    
  82     Leversha Point of the X(115) Kiepert Center     X(6722)    
  83     Leversha Point of the X(125) Center of the Jerabek Hyperbola     X(6723)    
  84     Leversha Point of the X(190) Yff Parabolic Point     X(4422)    
  85     Leversha Point of the X(192) Equal Parallelians Point     X(37)   Grinberg Point  
  86     Leversha Point of the X(354) Weill Point     X(3848)    
  87     Leversha Point of the X(355) Center of the Fuhrmann Circle     X(9956)    
  88     Leversha Point of the X(381) Center of the Orthocentroidal Circle     X(547)    
  89     Leversha Point of the X(384) Conway Point     X(7819)    
  90     Leversha Point of the X(389) Center of the Taylor Circle     X(11695)    
  91     Leversha Point of the X(399) Parry Reflection Point     X(10272)    
  92     Leversha Point of the X(485) Outer Vecten Point     X(6118)    
  93     Leversha Point of the X(486) Inner Vecten Point     X(6119)    
  94     Leversha Point of the X(1478) Center of the Inner Johnson-Yff Circle     X(3822)    
  95     Leversha Point of the X(1479) Center of the Outer Johnson-Yff Circle     X(3825)