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) = (1 - cos A)u(a,b,c), where u : v : w = X(256)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1431) lies on these lines:
1,256 6,893 7,870 56,904 57,87 58,1178 65,257 86,1447 292,694 518,1222 758,996 979,1046X(1431) = X(904)-cross conjugate of X(893)