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) = 2 + 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(1056) lies on these lines:
1,4 2,495 7,517 8,443 29,1059 30,390 55,376 56,631 145,377 329,392 355,938 529,1001 1037,1065X(1056) = isogonal conjugate of X(1057)
X(1056) is the {X(1),X(4)}-harmonic conjugate of X(1058).