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 f(A,B,C) : f(B,C,A) : f(C,A,B), where
f(A,B,C) = (sec A)[2T - S(sec 2B + sec 2C)](T - S sec 2A),
S = sin 2A + sin 2B + sin 2C, T = tan 2A + tan 2B + tan 2CBarycentrics g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = (sin A) f(A,B,C)
X(131) lies on the nine-point circle
X(131) = X(102)-of-orthic triangle
X(131) lies on these lines: 3,125 4,135 5,136 115,216
X(131) = reflection of X(136) in X(5)