INSTITUTO DE MATEMÁTICA
HJB --- GMA --- UFF

X(3008)
((GERGONNE LINE)∩(NAGEL LINE))


Click here to access the list of all triangle centers.

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 Run Macro Tool, select the center name from the list and, then, click on the vertices A, B and C successively.

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Download all construction files and macros: tc.zip (10.1 Mb).
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 + 2a2 - ab - ac]
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(3008) lies on these lines:
1,2    44,527    57,169    101,1429    190,1266    218,226    238,516    241,514    379,1724    443,1453    536,2325    1445,1723

X(3008) = midpoint of X(I) and X(J) for these I,J: 44,1086    190,1266    238,1738
X(3008) = X(I)-Ceva conjugate of X(J) for these I,J: 7,3021    666,514
X(3008) = cevapoint of X(1279) and X(2348)
X(3008) = X(3021)-cross conugate of X(7)
X(3008) = crosssum of X(6) and X(672)

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

If you have questions or suggestions, please, contact us using the e-mail presented here.

Departamento de Matemática Aplicada -- Instituto de Matemática -- Universidade Federal Fluminense



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