## X(3027) (INCIRCLE-ANTIPODE OF X(3023))

 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) = bc(b + c)2(a2 - bc)2/(b + c - a)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(3027) lies on the incircle and these lines:
1,2782    11,114    12,115    56,99    65,1356    147,497    148,388    192,1916    226,1365    350,1281    553,1357    690,3028    950,2784    1359,2798    2023,2276    2788,3021

X(3027) = reflection of X(3023) in X(1)
X(3027) = crosssum of X(55) and X(2311)

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