## X(3011) ((NAGEL LINE)∩(ORTHIC AXIS))

 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[2a3 + (b + c)(b - c + a)(b - c - a)]
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(3011) lies on these lines:
1,2    3,1072    11,1279    12,1104    25,225    31,226    100,1738    105,2006    111,2690    142,750    230,231    238,908    459,1068    851,2223    1447,1758    1612,1838    1836,3049

X(3011) = complement of X(3006)
X(3011) = crosspoint of X(2) and X(675)
X(3011) = crosssum of X(6) and X(674)

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