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) = bc/[b3 + c3 - a(b2 + c2)]
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)
X(675) lies on the circumcircle.
X(675) lies on these lines:
2,101 7,109 27,112 75,100 86,110 99,310 108,273 335,813 673,919 789,871 901,903 934,1088X(675) = isogonal conjugate of X(674)
X(675) = isotomic conjugate of X(675)