| Kimberling Notation | Role | |
|---|---|---|
| 1 | X(1) Incenter | Incenter |
| 2 | X(2) Centroid | Centroid |
| 3 | X(3) Circumcenter | Circumcenter |
| 4 | X(4) Orthocenter | Orthocenter |
| 5 | X(5) Nine-Point Center | Nine-Point Center |
| 6 | X(6) Symmedian Point | Symmedian Point |
| 7 | X(7) Gergonne Point | Gergonne Point |
| 8 | X(8) Nagel Point | Nagel Point |
| 9 | X(9) Mittenpunkt | Mittenpunkt |
| 10 | X(10) Spieker Center | Spieker Center |
| 11 | X(11) Feuerbach Point | Feuerbach Point |
| 12 | X(12) Feuerbach Perspector | Feuerbach Perspector |
| 13 | X(13) Outer Fermat Point | Outer Fermat Point |
| 14 | X(14) Inner Fermat Point | Inner Fermat Point |
| 15 | X(15) First Isodynamic Point | First Isodynamic Point |
| 16 | X(16) Second Isodynamic Point | Second Isodynamic Point |
| 17 | X(17) Outer Napoleon Point | Outer Napoleon Point |
| 18 | X(18) Inner Napoleon Point | Inner Napoleon Point |
| 19 | X(19) Clawson Point | Clawson Point |
| 20 | X(20) de Longchamps Point | de Longchamps Point |
| 21 | X(21) Schiffler Point | Schiffler Point |
| 22 | X(22) Exeter Point | Exeter Point |
| 23 | X(23) Far-Out Point | Far-Out Point |
| 24 | X(26) Center of the Tangential Circle | Center of the Tangential Circle |
| 25 | X(31) Second Power Point | Second Power Point |
| 26 | X(32) Third Power Point | Third Power Point |
| 27 | X(36) Inverse of the Incenter in the Circumcircle | Inverse of the Incenter in the Circumcircle |
| 28 | X(37) Grinberg Point | Grinberg Point |
| 29 | X(39) Brocard Midpoint | Brocard Midpoint |
| 30 | X(40) Bevan Point | Bevan Point |
| 31 | X(49) Center of the Sine-Triple-Angle Circle | Center of the Sine-Triple-Angle Circle |
| 32 | X(54) Kosnita Point | Kosnita Point |
| 33 | X(55) Internal Center of Similitude of Circumcircle and Incircle | Internal Center of Similitude of the Incircle and the Circumcircle |
| 34 | X(56) External Center of Similitude of Circumcircle and Incircle | External Center of Similitude of the Incircle and the Circumcircle |
| 35 | X(68) Prasolov Point | Prasolov Point |
| 36 | X(69) Retrocenter | Retrocenter |
| 37 | X(75) Moses Point | Moses Point |
| 38 | X(76) Third Brocard Point | Third Brocard Point |
| 39 | X(98) Tarry Point | Tarry Point |
| 40 | X(99) Steiner Point | Steiner Point |
| 41 | X(100) | Anticompliment of the Feuerbach Point |
| 42 | X(110) Euler Reflection Point | Euler Reflection Point |
| 43 | X(111) Parry Point | Parry Point |
| 44 | X(115) Kiepert Center | Kiepert Center |
| 45 | X(125) | Center of the Jerabek Hyperbola |
| 46 | X(173) Congruent Isoscelizers Point | Congruent Isoscelizers Point |
| 47 | X(174) Yff Center of Conguence | Yff Center of Conguence |
| 48 | X(175) Outer Soddy Point | Outer Soddy Point |
| 49 | X(176) Inner Soddy Point | Inner Soddy Point |
| 50 | X(177) First Mid-Arc Point | First Mid-Arc Point |
| 51 | X(178) Second Mid-Arc Point | Second Mid-Arc Point |
| 52 | X(179) First Ajima-Malfatti Point | First Ajima-Malfatti Point |
| 53 | X(181) Apollonius Point | Apollonius Point |
| 54 | X(182) Center of the Brocard Circle | Center of the Brocard Circle |
| 55 | X(187) Schoute Center | Schoute Center |
| 56 | X(190) | Yff Parabolic Point |
| 57 | X(192) Equal Parallelians Point | Equal Parallelians Point |
| 58 | X(264) | Isotomic Conjugate of the Circumcenter |
| 59 | X(351) Center of the Parry Circle | Center of the Parry Circle |
| 60 | X(354) Weill Point | Weill Point |
| 61 | X(355) Center of the Fuhrmann Circle | Center of the Fuhrmann Circle |
| 62 | X(363) Equal Perimeters Isoscelizer Point | Equal Perimeters Isoscelizer Point |
| 63 | X(364) Equal Areas Isoscelizer Point | Equal Areas Isoscelizer Point |
| 64 | X(371) First Kenmotu Point | First Kenmotu Point |
| 65 | X(372) Second Kenmotu Point | Second Kenmotu Point |
| 66 | X(381) Center of the Orthocentroidal Circle | Center of the Orthocentroidal Circle |
| 67 | X(384) Conway Point | Conway Point |
| 68 | X(389) Center of the Taylor Circle | Center of the Taylor Circle |
| 69 | X(399) Parry Reflection Point | Parry Reflection Point |
| 70 | X(400) Yff-Malfatti Point | Yff-Malfatti Point |
| 71 | X(481) Outer Oldknow Point | Outer Oldknow Point |
| 72 | X(482) Inner Oldknow Point | Inner Oldknow Point |
| 73 | X(483) Radical Center of the Malfatti Circles | Radical Center of the Malfatti Circles |
| 74 | X(484) Evans Perspector | Evans Perspector |
| 75 | X(485) Outer Vecten Point | Outer Vecten Point |
| 76 | X(486) Inner Vecten Point | Inner Vecten Point |
| 77 | X(493) First van Lamoen Homothetic Center | First van Lamoen Homothetic Center |
| 78 | X(494) Second van Lamoen Homothetic Center | Second van Lamoen Homothetic Center |
| 79 | X(495) Johnson Midpoint | Johnson Midpoint |
| 80 | X(496) Harmonic Conjugate of the Johnson Midpoint | Harmonic Conjugate of the Johnson Midpoint |
| 81 | X(560) Fourth Power Point | Fourth Power Point |
| 82 | X(593) First Hatzipolakis-Yiu Point | First Hatzipolakis-Yiu Point |
| 83 | X(598) | Perspector of the Lemoine Inellipse |
| 84 | X(647) | Perspector of the Jerabek Hyperbola |
| 85 | X(650) Center of the Stevanovic Circle | Center of the Stevanovic Circle |
| 86 | X(970) Center of the Apollonius Circle | Center of the Apollonius Circle |
| 87 | X(1116) Center of the Lester Circle | Center of the Lester Circle |
| 88 | X(1127) First de Villiers Point | First de Villiers Point |
| 89 | X(1128) Second de Villiers Point | Second de Villiers Point |
| 90 | X(1141) Gibert Point | Gibert Point |
| 91 | X(1142) First Malfatti-Rabinowitz Point | First Malfatti-Rabinowitz Point |
| 92 | X(1143) Second Malfatti-Rabinowitz Point | Second Malfatti-Rabinowitz Point |
| 93 | X(1151) Radical Center of the Lucas Circles | Radical Center of the Lucas Circles |
| 94 | X(1155) Schroder Point | Schroder Point |
| 95 | X(1319) Bevan-Schroder Point | Bevan-Schroder Point |
| 96 | X(1371) First Rigby Point | First Rigby Point |
| 97 | X(1372) Second Rigby Point | Second Rigby Point |
| 98 | X(1373) First Griffiths Point | First Griffiths Point |
| 99 | X(1374) Second Griffiths Point | Second Griffiths Point |
| 100 | X(1478) Center of the Inner Johnson-Yff Circle | Center of the Inner Johnson-Yff Circle |
| 101 | X(1479) Center of the Outer Johnson-Yff Circle | Center of the Outer Johnson-Yff Circle |
| 102 | X(2092) Danneels-Apollonius Perspector | Danneels-Apollonius Perspector |
| 103 | X(3068) Malfatti-Moses Point | Malfatti-Moses Point |
| 104 | X(3333) Pohoata Point | Pohoata Point |
| 105 | X(First Brocard Point) | First Brocard Point |
| 106 | X(Second Brocard Point) | Second Brocard Point |
| 107 | X(First Jerabek Point) | First Jerabek Point |
| 108 | X(Second Jerabek Point) | Second Jerabek Point |
| 109 | X(First Beltrami Point) | First Beltrami Point |
| 110 | X(Second Beltrami Point) | Second Beltrami Point |