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(a2 - bc)2/(b + c - a)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(3027) lies on the incircle and these lines:
1,2782 11,114 12,115 56,99 65,1356 147,497 148,388 192,1916 226,1365 350,1281 553,1357 690,3028 950,2784 1359,2798 2023,2276 2788,3021X(3027) = reflection of X(3023) in X(1)
X(3027) = crosssum of X(55) and X(2311)