Interactive Applet |
You can move the points A, B and C (click on the point and drag it).
Press the keys “+” and “−” to zoom in or zoom out the visualization window and use the arrow keys to translate it.
You can also construct all centers related with this one (as described in ETC) using the “Run Macro Tool”. To do this, click on the icon , select the center name from the list and, then, click on the vertices A, B and C successively.
Information from Kimberling's Encyclopedia of Triangle Centers |
Trilinears f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = bc(b6 + c6 - 2a6 + a4b2 + a4c2 - b4c2 - c4b2)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1503) lies on these lines:
2,154 3,66 4,6 5,182 11,1428 20,64 22,161 30,511 51,428 67,74 98,230 110,858 125,468 147,325 184,427 221,388 242,1146 265,1177 287,297 376,599 381,597 382,1351 383,395 394,1370 396,1080 546,575 576,1353 611,1478 613,1479 946,1386X(1503) = isogonal conjugate of X(1297)
X(1503) = complementary conjugate of X(132)
X(1503) = X(I)-Ceva conjugate of X(J) for these (I,J): (4,132), (287,6), (297,230), (685,523)
X(1503) = cevapoint of X(20) and X(147)
X(1503) = crosspoint of X(4) and X(98)
X(1503) = crosssum of X(3) and X(511)
X(1503) = crossdifference of any two points on line X(6)X(520)
X(1503) = X(4)-Hirst inverse of X(1249)