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(278)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1435) lies on these lines:
1,951 19,57 25,34 27,1088 33,354 48,223 48,223 108,1477 154,1456 244,1096 269,1396 608,1407 913,1461 1395,1416X(1435) = X(I)-Ceva conjugate of X(J) for these (I,J): (1119,34), (1396,1407)
X(1435) = X(I)-cross conjugate of X(J) for these (I,J): (608,34), (1106,269), (1426,1119)
X(1435) = cevapoint of X(608) and X(1398)