Classic centers (incenter, centroid, circumcenter, orthocenter and nine-point-center) of most of triangles defined in Wolfram’s has been calculated. Below table shows their indexes in ETC.
For centers in yellow (not in ETC), please download table with barycentric coordinates, some properties and ETC-6-9-13 search values from the next link:
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| Incenter | Centroid | Circumcenter | Orthocenter | NPC | ||
| ABC | X(1) | X(2) | X(3) | X(4) | X(5) | |
| ANTICOMPLEMENTARY | X(8) | X(2) | X(4) | X(20) | X(3) | |
| BROCARD 1 | X(3923) | X(2) | X(182) | X(1352) | | |
| BROCARD 2 | | | X(182) | | | |
| BROCARD 3 | | | | | | |
| BROCARD 4 | | X(6032) | X(381) | | | |
| CIRCUMMEDIAL | | | X(3) | | | |
| CICUMNORMAL | X(3) | X(3) | X(3) | X(3) | X(3) | |
| CIRCUMORTHIC | X(4) | X(5890) | X(3) | X(5889) | X(6102) | |
| CIRCUMPERP 1 | | X(165) | X(3) | X(40) | X(3579) | |
| CIRCUMPERP 2 | | X(3576) | X(3) | X(1) | X(1385) | |
| COSYMMEDIAL | | X(353) | X(3) | | | |
| EULER | X(946) | X(381) | X(5) | X(4) | X(546) | |
| EXCENTRAL | X(164) | X(165) | X(40) | X(1) | X(3) | |
| EXTANGENTS | X(40) | | | X(6237) | | |
| EXTOUCH | | X(210) | X(1158) | | | |
| FEUERBACH | X(5960) | X(5947) | X(5) | X(5948) | | |
| FUHRMANN | | X(5587) | X(355) | X(1) | X(5) | |
| GREBE OUTER | X(3640) | X(5860) | X(1160) | X(5870) | X(5874) | |
| GREBE INNER | X(3641) | X(5861) | X(1161) | X(5871) | X(5875) | |
| HEXYL | | X(3576) | X(1) | X(40) | X(3) | |
| INCENTRAL | | X(1962) | | X(500) | | |
| INTANGENTS | X(1) | | | X(6238) | | |
| INTOUCH | X(177) | X(354) | X(1) | X(65) | X(942) | |
| JOHNSON | X(355) | X(381) | X(4) | X(3) | X(5) | |
| LEMOINE | | | | | | |
| LUCAS CENTRAL | X(1151) | | | | | |
| LUCAS TANGENTS | | | X(1151) | | | |
| MACBEATH | | | | | | |
| MEDIAL | X(10) | X(2) | X(5) | X(3) | X(140) | |
| MIDARC | | X(3576) | X(3) | X(1) | X(1385) | |
| MIDHEIGHT | | X(5943) | X(5893) | | | |
| MIXTILINEAR | | | | | | |
| MORLEY 1 | X(356) | X(356) | X(356) | X(356) | X(356) | |
| MORLEY 2 | X(3276) | X(3276) | X(3276) | X(3276) | X(3276) | |
| MORLEY 3 | X(3277) | X(3277) | X(3277) | X(3277) | X(3277) | |
| NAPOLEON INNER | X(2) | X(2) | X(2) | X(2) | X(2) | |
| NAPOLEON OUTER | X(2) | X(2) | X(2) | X(2) | X(2) | |
| NEUBERG 1 | | X(2) | | | | |
| NEUBERG 2 | | X(2) | | | | |
| ORTHIC | X(4) | X(51) | X(5) | X(52) | X(143) | |
| ORTHOCENTROIDAL | X(5902) | X(5640) | X(381) | X(5890) | X(5946) | |
| REFLECTION | | X(3060) | X(195) | | | |
| SQUARES OUTER | | | | | | |
| SQUARES INNER | | | | | | |
| STEINER | | | | X(3) | | |
| SYMMEDIAL | | | | | | |
| TANGENTIAL | X(3) | X(154) | X(26) | X(155) | X(156) | |
| VECTEN OUTER | | X(2) | X(641) | X(485) | X(6118) | |
| VECTEN INNER | | X(2) | X(642) | X(486) | X(6119) | |
| YFF CONTACT | | | X(5592) | X(8) | | |
