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(344)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1445) lies on these lines:
1,1170 2,7 6,77 19,273 40,390 44,1418 46,516 56,78 65,1001 169,1446 269,651 942,954 1038,1451 1419,1443 1442,1449X(1445) = X(I)-Ceva conjugate of X(J) for these (I,J): (765,651), (1088,1)