## X(2588) (X(3)-ISOCONJUGATE OF X(1113))

 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            (sec A)/f(a,b,c) : (sec B)/f(b,c,a) : (sec C)/f(c,a,b), where f(a,b,c) is as at X(1113)
Barycentrics    (tan A)/f(a,b,c) : (tan B)/f(b,c,a) : (tan C)/f(c,a,b)

X(2588) lies on these lines:
1,2582    10,2592    11,1313    19,2578    65,2574    162,1822    240,522    759,1114    897,2581    1910,2577

X(2588) = isogonal conjugate of X(1822)
X(2588) = X(2586)-Ceva conjugate of X(1)
X(2588) = cevapoint of X(1) and X(2588)

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