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 - a)(b - c)2(b2 + c2 - a2 + bc)2
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(3024) lies on the incircle and these lines:
1,3028 11,125 12,113 33,1112 35,1511 56,74 65,1354 146,388 690,3023 1317,2771 1359,2778 1361,2779 1469,2781 1682,3031 2774,3022 2836,3021X(3024) = reflection of X(3028) in X(1)
X(3024) = X(1029)-Ceva conjugate of X(650)