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[(a - c)2/(a - b + c) + (a - b)2/(a + b - c)]
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(3039) lies on the Spieker circle and these lines:
2,1358 8,3021 9,80 960,2809 1292,1376 2814,3042 2826,3035 2832,3038 2835,3040X(3039) = midpoint of X(8) and X(3021)
X(3039) = complement of X(1358)
X(3039) = crosssum of X(6) and X(1357)