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 - 2(1 + cos B/2)(1 + cos C/2)/(1 + cos A/2) (M. Iliev, 5/13/07)
Trilinears g(A,B,C) : g(B,C,A) : g(C,A,B),
where g(A,B,C) = 1 - 4 sec2(A/4)cos2(B/4)cos2(C/4) (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 respective centers of the three Malfatti circles of ABC. Let A" be the point of intersection of lines BC' and CB', and define B" and C" cyclically. Then triangle A"B"C" is perspective to ABC, and the perspector is X(1142). (Stanley Rabinowitz, #4610, 12/29/01; coordinates by Paul Yiu, #4614, 12/30/01)
X(1142) lies on this line: 1,179