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 a/(2a2 - b2 - c2) : b/(2b2 - c2 - a2) : c/(2c2 - a2 - b2)
Barycentrics a2/(2a2 - b2 - c2) : b2/(2b2 - c2 - a2) : c2/(2c2 - a2 - b2)
X(111) lies on these lines:
2,99 6,110 23,187 25,112 37,100 42,101 107,393 182,353 230,476 251,827 308,689 352,511 385,892 468,935 512,843 647,842 694,805 931,941X(111) = reflection of X(1296) in X(3)
X(111) = isogonal conjugate of X(524)
X(111) = inverse-in-Brocard-circle of X(353)
X(111) = anticomplement of X(126)
X(111) = cevapoint of X(6) and X(187)
X(111) = X(I)-cross conjugate of X(J) for these (I,J): (23,251), (187,6), (351,110)
X(111) = crossdifference of any two points on line X(351)X(690)