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(b + c)2(1 - 2 cos A)2/(b + c - a)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(3028) lies on the incircle and these lines:
1,3024 11,113 12,125 34,1112 36,1464 6,110 57,2948 65,1365 146,497 690,3027 1359,2850 1367,1439 1469,2854 1870,1986 2646,2779 2772,3022 2775,3021X(3028) = reflection of X(3024) in X(1)
X(3028) = crosssum of X(55) and X(2341)