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/[a3(b4 - c4)]
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)X(689) = isotomic conjugate of X(3005)
X(689) lies on the circumcircle and these lines:
1,719 2,733 6,703 75,745 76,755 82,715 83,729 110,670 111,308 251,699 662,787 741,873 799,813X(689) = isogonal conjugate of X(688)