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) = [s cos(A/2) - r sin(A/2)]2
Trilinears g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = a(b + c - a)(b2 + c2 + ab + ac)2 (M. Iliev, 5/13/07)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
The exsimilicenter of the incircle and Apollonius circle is X(181). Also, the triangle A'B'C' formed (as at X(2092) by the intersections of the Apollonius circle and the excircles is perspective to the cevian triangle of X(1), and the perspector is X(1682). (Paul Yiu, Hyacinthos #8076, 10/01/03)
X(1682) lies on these lines: 1,181 3,1397 10,11 43,1697 55,386 56,573 57,1695 73,1362 212,1472 215,501 988,1401 1124,1686 1335,1685 1672,1684 1673,1683 1674,1694 1675,1693 2007,2020 2008,2019