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 - b + c)(a - c)2cos2B + (a + b - c)(a - b)2cos2C]
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(3042) lies on the Spieker circle and these lines:
2,1364 8,1361 10,2818 72,1845 102,958 109,1376 117,1329 118,124 151,2551 474,1795 960,2817 2814,3039 2815,3039X(3042) = midpoint of X(I) and X(J) for these I,J: 8,1361 72,1845
X(3042) = reflection of X(3040) in X(10)
X(3042) = complement of X(1364)