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 B/2 + sin C/2 - sin A/2 : sin C/2 + sin A/2 - sin B/2 : sin A/2 + sin B/2 - sin C/2
Barycentrics a(sin B/2 + sin C/2 - sin A/2) : b(sin C/2 + sin A/2 - sin B/2) : c(sin A/2 + sin B/2 - sin C/2)X(164) = X(1)-of-excentral triangle
X(164) lies on these lines: 1,258 9,168 40,188 57,177 165,167 173,504 361,503 362,845
X(164) = isogonal conjugate of X(505)
X(164) = X(188)-Ceva conjugate of X(1)
X(164) = X(I)-aleph conjugate of X(J) for these (I,J): (1,361), (2,362), (9,844), (188,164), (366,173)