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(38)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1401) lies on these lines:
7,310 43,57 51,244 56,58 65,519 226,1463 354,1122 511,982 1106,1425 1355,1365 1356,1366 1402,1458 1407,1460X(1401) = crosspoint of X(7) and X(56)
X(1401) = crosssum of X(8) and X(55)