Interactive Applet |
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) = [2SBSC + 3SAa2 - 2(b2 + c2) area]/a
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)Erect squares inwards on the sides of triangle ABC; the circumcenter of the centers of the squares is X(642). (Peter Moses, 7/16,2003)
X(642) lies on these lines: 2,371 3,640 140,141 372,491
X(642) = midpoint of X(486) and X(487)
X(642) = complement of X(486)
X(642) = complementary conjugate of X(640)
X(642) = crosspoint of X(2) and X(491)