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[b2(a2 - ab - bc + c2)2/(a - b + c) + c2(a2 - ac - bc + b2)2/(a + b - c)]
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(3041) lies on the Spieker circle and these lines:
2,1362 8,3022 9,1282 10,2808 101,958 103,1376 118,124 150,2551 152,2550 928,3040 960,2809 2801,3035X(3041) = midpoint of X(8) and X(3022)
X(3041) = complement of X(1362)