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)2
= sin4A/2 : sin4B/2 : sin4C/2Barycentrics g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = (sin A) f(A,B,C)
X(1106) lies on these lines:
3,1037 7,987 31,56 32,604 34,244 36,255 38,1038 57,961 58,269 77,988 279,985 388,750 601,999 651,978 727,934X(1106) = isogonal conjugate of X(341)