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 (sin 2A)/(sin 2B - sin 2C) : (sin 2B)/(sin 2C - sin 2A) : (sin 2C)/(sin 2A - sin 2B)
= a2/(b2 - c2) : b2/(c2 - a2) : c2/(a2 - b2)Barycentrics a3/(b2 - c2) : b3/(c2 - a2) : c3/(a2 - b2)
X(163) lies on these lines: 1,293 19,563 31,923 32,849 48,1094 99,825 101,110 109,112 284,909 643,1018 692,906 798,1101 813,827
X(163) = crosssum of X(656) and X(661)
X(163) = X(I)-aleph conjugate of X(J) for these (I,J): (648,19), (662,610)