## X(2542) (INSIMILICENTER(BROCARD CIRCLE, (X(4),2R)))

 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.

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This applet was built with the free and multiplatform dynamic geometry software C.a.R..

 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) = e cos B cos C + cos(A - ω),      e = (1 - 4 sin2 ω)1/2
Barycentrics    (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)

The circle (X(4),2R) is identified at X(2474).

X(2542) lies on these lines:
2,1341    4,83    10,1705    20,1340    388,1675    497,1674    516,1704    1587,1668    1588,1669    1678,2551    1679,2550    2011,2545    2012,2544    2033,2549    2034,2548    2469,2553    2470,2552

This is a joint work of
Humberto José Bortolossi, Lis Ingrid Roque Lopes Custódio and Suely Machado Meireles Dias.