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/(b3 + c3 - a2b - a2c - 2b2c - 2bc2 + 4abc) (M. Iliev, 5/13/07)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(2718) lies on the circumcircle and these lines:
1,901 3,2743 36,100 44,101 56,2222 106,513 108,1877 109,1319 214,765 244,1168 517,1293 609,919 898,993 999,1308 1420,2720X(2718) = reflection of X(2743) in X(3)
X(2718) = isogonal conjugate of X(2802)
X(2718) = X(2265-cross conjugate of X(57)