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 sin 3A csc3ABarycentrics g(A,B,C) : g(B,C,A) : g(C,A,B), where
g(A,B,C) = sec A sin 3A csc2A
X(340) lies on these lines: 4,69 67,290 95,140 250,325 297,524 298,470 299,471 447,540 458,599 520,850
X(340) = reflection of X(648) in X(297)
X(340) = isotomic conjugate of X(265)
X(340) = cevapoint of X(186) and X(323)