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 - sec A (cos B + cos C)
Barycentrics g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = (sin A) f(A,B,C)
X(1068) lies on these lines:
1,4 8,860 24,108 92,406 155,651 281,451 318,475 377,1060 429,495 1038,1074 1040,1076X(1068) = isogonal conjugate of X(1069)
X(1068) = X(158)-Ceva conjugate of X(4)
X(1068) = X(46)-cross conjugate of X(4)