## X(2046) (6th EULER-VECTEN-GIBERT POINT)

 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[- 2(b2 - c2)2 + a2(3b2 + 3c2 - a2) - 31/2[(b2 - c2)2 - a2(b2 + c2)]]
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(2046) lies on these lines:
2,3    17,486    18,485    302,638    303,637    397,615    398,590    491,633    492,634

X(2046) = inverse-in-orthocentroidal-circle of X(2045)

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