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)[2a2 - a(b + c) + (b - c)2]2
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(3021) lies on the incircle and these lines:
1,1358 11,55 56,1292 354,1357 1317,2826 1361,2814 1362,2820 1364,2835 1682,3034 2775,3028 2788,3027 2795,3023 2809,3022 2836,3024X(3021) = reflection of X(I) in X(J) for these I,J: 8,3039 1358,1
X(3021) = X(7)-Ceva conjugate of X(3008)
X(3021) = crosspoint of X(7) and X(3008)