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) = b2 + c2 - a2 - 3bc + ab + ac (M. Iliev, 5/13/07)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)See the description at X(1281).
X(1054) lies on the Bevan circle and these lines:
1,88 2,846 43,57 46,978 81,1051 105,165 474,986 513,1052 905,1053X(1054) = reflection of X(1) in X(106)
X(1054) = inverse-in-circumcircle of X(1283) X(1054) = X(1)-Hirst inverse of X(244)