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 - 2b + c)2/(a - b + c) + (a + b - 2c)2/(a + b - c)]
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(3036) lies on the Spieker circle and these lines:
2,1217 8,11 9,80 10,140 104,1376 153,2550 355,1158 519,1387 960,2802 1706,1768X(3036) = midpoint of X(I) and X(J) for these I,J: 8,11 80,1145
X(3036) = reflection of X(3035) in X(10)
X(3036) = complement of X(1317)