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) = a(b - c)2(b + c - a)3
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(3022) lies on the incircle and these lines:
1,1362 11,116 12,118 33,181 56,103 65,1360 101,2291 150,497 152,388 926,2170 928,1364 950,2784 1282,1697 1317,2801 1359,2823 1361,2099 1397,2192 1682,3033 2772,3028 2774,3024 2786,3023 2809,3021X(3022) = reflection of X(I) in X(J) for these I,J: 8,3041 1362,1
X(3022) = X(I)-Ceva conjugate of X(J) for these I,J: 7,650 55,657
X(3022) = crosspoint of X(I) and X(J) for these I,J: 7,650 55,657 607,663
X(3022) = crosssum of X(I) and X(J) for these I,J: 7,658 55,651 100,144 279,934 348,664