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 bc(v + w) : ca(w + u) : ab(u + v), where
u : v : w = X(284); e.g., u(A,B,C) = (sin A)/(cos B + cos C)
Barycentrics v + w : w + u : u + v
Let Ia, Ib, Ic be the excenters, let Ab, Ac be the projections of A onto IaIb and IaIc, respectively, and define Bc, Ba and Ca, Cb cyclically. The Euler lines of the four triangles ABC, AAbAc, BBcBa, CCaCb concur in X(442). (Jean-Pierre Ehrmann, 11/24/01)
X(442) lies on these lines: 2,3 8,495 9,46 10,12 11,214 100,943 115,120 119,125 274,325 388,956 392,946
X(442) = midpoint of X(79) and X(191)
X(442) = isogonal conjugate of X(1175)
X(442) = inverse-in-orthocentroidal-circle of X(405)
X(442) = complement of X(21)
X(442) = complementary conjugate of X(960)
X(442) = X(100)-Ceva conjugate of X(523)
X(442) = crosspoint of X(264) and X(321)
X(442) = crosssum of X(184) and X(1333)