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) = bc[3a2bc cos B cos C - 4(area of ABC)2 - 2K],
where K = (1/2)[a8 + b8 + c8 - S26 + a2b2c2(a2 + b2 + c2]1/2,
S26 = a2(b6 + c6) + b2(c6 + a6) + c2(a6 + b6)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
Of the two points of intersection, X(2454) is the closer to X(3).
X(2454) lies on the Steiner inscribed ellipse and this line: 2,3
X(2454) = midpoint of X(2) and X(2479)
X(2454) = reflection of X(2455) in X(2)
X(2454) = complement of X(2480)