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) = cos2B + cos2C - cos2A
Barycentrics g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = f(A,B,C) sin A
X(920) lies on these lines:
1,21 4,46 4,78 9,498 19,91 57,499 158,921 201,601 243,1075X(920) = isogonal conjugate of X(921)
X(920) = X(158)-Ceva conjugate of X(1)