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) = ea cot A - (2r' - es csc ω) cos(A + ω),
where r' = (r2 + s2)/(4r) = radius of Apollonius circle (where r = inradius)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
Of the two points of intersection of the Brocard axis and Apollonius circle, X(2037) is the one nearer to X(3) and also nearer to X(6).
X(2037) = reflection of X(2038) in X(970)
X(2037) lies on these lines: 3,6 10,2039 2040,2051