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 + cos B + cos C)(csc A)
Barycentrics g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = -1 - cos A + cos B + cos C
X(329) lies on these lines:
1,452 2,7 4,8 20,78 55,1005 69,189 100,972 190,345 191,498 196,342 200,516 219,278 220,948 223,347 253,306 388,960 392,1056 394,651 405,999 497,518X(329) = isogonal conjugate of X(1436)
X(329) = isotomic conjugate of X(189)
X(329) = cyclocevian conjugate of X(1034)
X(329) = anticomplement of X(57)
X(329) = anticomplementary conjugate of X(7)
X(329) = X(I)-Ceva conjugate of X(J) for (I,J) = (69,8), (312,2)
X(329) = X(I)-cross conjugate of X(J) for these (I,J): (40,347), (223,2)