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(105)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1416) lies on these lines:
6,1362 31,57 32,56 58,1414 294,1468 727,927 738,1106 919,1458 951,1193 1357,1397 1395,1435X(1416) = X(1462)-Ceva conjugate of X(1438)
X(1416) = cevapoint of X(56) and X(1428)
X(1416) = X(56)-Hirst inverse of X(1438)