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) = cos B cos C (cos2C cos2A + cos2A cos2B - cos2B cos2C)
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(1075) lies on these lines: 155,450 216,631 243,920 648,1092
X(1075) = eigencenter of cevian triangle of X(3)
X(1075) = eigencenter of anticevian triangle of X(4)
X(1075) = X(3)-Ceva conjugate of X(4)
X(1075) = X(155)-Hirst inverse of X(450)