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 a3 + abc : b3 + abc : c3 + abc
Barycentrics a4 + bca2 : b4 + cab2 : c4 + abc2
X(172) lies on these lines:
1,32 6,41 12,230 21,37 35,187 36,39 42,199 58,101 65,248 350,384 577,1038 694,904 699,932X(172) = isogonal conjugate of X(257)
X(172) = crossdifference of any two points on line X(522)X(1491)
X(172) = X(101)-beth conjugate of X(172)