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) = 1/[(1 + 2 cos 2A) sin(B - C)]
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)
The reflection of X(110) in the Euler line; X(476) is on the circumcircle. (Michel Tixier, 5/9/98). Also, X(476) is the center of the polar conic of X(30) with respect to the Neuberg cubic; this conic is a rectangular hyperbola passing through the incenter, the excenters, and X(30). (Peter Yff, 5/23/99)
X(476) lies on these lines: 2,842 3,477 23,94 30,74 99,850 110,523 111,230 250,933 376,841
X(476) = reflection of X(I) in X(J) for these (I,J): (146,1553), (477,3)
X(476) = isogonal conjugate of X(526)
X(476) = cevapoint of X(30) and X(523)