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(238)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1428) lies on these lines:
1,182 3,613 6,41 31,1403 36,511 57,985 58,1178 59,518 60,757 65,82 184,614 238,1284 499,1352 611,999 651,1463 692,1279 961,1258 1456,1462X(1428) = X(1416)-Ceva conjugate of X(56)
X(1428) = crosspoint of X(1014) and X(1462)
X(1428) = X(I)-Hirst inverse of X(J) for these (I,J): (31,1403), (56,604)