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) = e cos A + 2e cos B cos C + cos(A + ω)
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)
Of the points other than X(115) in which the nine-point circle meets the asymptotes of the Kiepert hyperbola, X(2039) is the one nearer to X(3).
The points X(2039) and X(2040) are endpoints of the diameter of the nine-point circle that is parallel to the line X(25)X(394). (M. Iliev, 5/13/07)
X(2039) = midpoint of X(4) and X(1380)
X(2039) = reflection of X(2040) in X(5)
X(2039) = complement of X(1379)