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/(1 - 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(1037) lies on these lines:
1,1041 3,1066 4,1067 29,388 48,949 55,77 56,78 73,1036 219,604 332,1014 916,1069 1056,1065 1057,1064X(1037) = isogonal conjugate of X(497)
X(1037) = cevapoint of X(55) and X(56)