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) = a(b2 + c2 - 5a2)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
Let Ga be the circumcenter of triangle BCG, where G - centroid(ABC). Define Gb and Gc cyclically. Triangle GaGbGc is homothetic to the pedal triangle of X(6), and X(1384) is the center of the homothety.
X(1384) lies on these lines: 3,6 25,111 55,609 230,381 385,1003
X(1384) = X(1383)-Ceva conjugate of X(6)