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) = (sin((π - A)/4))/sin((π + 3A)/4)
Trilinears gA,B,C) : g(B,C,A) : g(C,A,B),
where g(A,B,C) = [1 - 2 sin(A/2)]/(1 - 2 cos A) (M. Iliev, 5/13/07)
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)
Let A",B",C" be the excenters of ABC, and let A', B', C' be the respective incenters of triangles A"BC, B"CA, C"AB, respectively. The triangle A'B'C' is perspective to ABC, and the perspector is X(1128). (Darij Grinberg, 8/22/02). See references at X(1127).
X(1128) lies on these lines:
164,173 188,519 258,505
X(1128) = isogonal conjugate of X(1130)