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) = r(r2 + s2) + 4Rs(r sin A - s cos A)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)The exsimilicenter of the Bevan and Apollonius circles is X(43).
X(1695) lies on these lines: 1,573 10,962 40,43 57,1682 165,386 181,1697 978,1764 1683,1701 1684,1700 1685,1703 1686,1702 1693,1705 1694,1704 2017,2020 2018,2019
X(1695) = X(939)-Ceva conjugate of X(55)