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 B sin3 C - sec C sin3 B
Barycentrics g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = sin A f(A,B,C)
X(684) lies on these lines: 110,351 114,132 122,125 147,804 325,523 520,647 669,924
X(684) = isogonal conjugate of X(685)
X(684) = crosspoint of X(99) and X(287)
X(684) = crosssum of X(I) and X(J) for these (I,J): (98,879), (232,512)
X(684) = crossdifference of any two points on line X(4)X(32)