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 1/(b + c - 2a) : 1/(c + a - 2b) : 1/(a + b - 2c)
Barycentrics a/(b + c - 2a) : b/(c + a - 2b) : c/(a + b - 2c)
X(88) lies on these lines: 1,100 2,45 6,89 28,162 44,679 57,651 81,662 105,901 274,799 278,653 279,658 291,660
X(88) = isogonal conjugate of X(44)
X(88) = cevapoint of X(I) and X(J) for these (I,J): (1,44), (6,36)
X(88) = X(I)-cross conjugate of X(J) for these (I,J): (44,1), (517,7)
X(88) = X(I)-aleph conjugate of X(J) for these (I,J): (88,1), (679,88), (903,63), (1022,1052)
X(88) = X(333)-beth conjugate of X(190)