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[2(b + c) - a(cos A - cos B - cos C + 1)]
Trilinears g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = a3 + a2(b + c) - a(b + c)2 - (b + c)(b2 - 6bc + c2)Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
The insimilicenter of the Bevan and Spieker circles is X(9).
X(1706) lies on these lines:
1,474 2,1697 4,9 8,57 46,529 65,200 84,355 165,958 404,1420 517,936 1329,1699 1377,1702 1378,1703 1571,1573 1572,1574 1678,1704 1679,1705 1680,1700 1681,1701