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) = (2 cos A + sin A)/(cos2A + cos A sin A)
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)
Let BBaCa be the external square on side BC, and define CCbAbA and AAcBcB cyclically. Let X = BCb∩CBc and X' = BAb∩CAc, and define Y, Z and Y', Z' cyclically. The lines AX, BY, CZ concur in X(4), and the lines AX', BY', CZ' concur in X(485). The lines XX', YY', ZZ' concur in X(1321), as shown in
Paul Yiu, On the Squares Erected Externally on the Sides of a Triangle.
X(1321) lies on this line: 4,371