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 a2 - bc : b2 - ca : c2 - ab
Barycentrics a3 - abc : b3 - abc : c3 - abc
X(238) lies on these lines:
1,6 2,31 3,978 4,602 7,1471 8,983 10,82 21,256 36,513 40,1722 42,1621 43,55 47,499 56,87 57,1707 58,86 63,614 71,1244 100,899 105,291 106,898 162,415 190,726 212,497 239,740 241,1456 242,419 244,896 390,1253 459,1395 484,1739 516,673 517,1052 519,765 580,946 601,631 651,1458 662,1326 942,1046 987,1472 992,1009 993,995 1006,1064 1040,1711 1054,1155 1284,1428 1465,1758 1479,1714 1699,1754X(238) = midpoint of X(1) and X(1279)
X(238) = reflection of X(1) in X(1297)
X(238) = isogonal conjugate of X(291)
X(238) = isotomic conjugate of X(334)
X(238) = X(I)-Ceva conjugate of X(J) for these (I,J): (105,1), (292,171)
X(238) = crosssum of X(I) and X(J) for these (I,J): (10,726), (42,672), (239,894)
X(238) = crossdifference of any two points on line X(37)X(513)
X(238) = X(I)-Hirst inverse of X(J) for these (I,J): (1,6), (43,55)
X(238) = X(1)-line conjugate of X(37)
X(238) = X(105)-aleph conjugate of X(238)
X(238) = X(I)-beth conjugate of X(J) for these (I,J): (21,238), (643,902), (644,238), (932,238)