## X(3036) (COMPLEMENT OF X(1317))

 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[(a - 2b + c)2/(a - b + c) + (a + b - 2c)2/(a + b - c)]
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(3036) lies on the Spieker circle and these lines:
2,1217    8,11    9,80    10,140    104,1376    153,2550    355,1158    519,1387    960,2802    1706,1768

X(3036) = midpoint of X(I) and X(J) for these I,J: 8,11    80,1145
X(3036) = reflection of X(3035) in X(10)
X(3036) = complement of X(1317)

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