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 - a)(b - c)2(a2 + bc)2
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(3023) lies on the incircle and these lines:
1,2782 11,115 12,114 56,98 65,1355 147,388 148,497 330,1916 690,3024 1317,2783 1359,2791 1361,2792 1500,1569 1682,3029 2023,2275 2786,3022 2795,3021X(3023) = reflection of X(3027) in X(1)