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(1 - cos A - cos C)2/(a - b + c) + c2(1 - cos A - cos B)2/(a + b - c)]
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(3040) lies on the Spieker circle and these lines:
2,1361 8,1364 10,2818 102,1376 109,958 117,2886 124,1329 151,2550 928,3041 956,1795 960,2800 2835,3039X(3040) = midpoint of X(8) and X(1364)
X(3040) = reflection of X(3042) in X(10)
X(3040) = complement of X(1361)