HJB --- GMA --- UFF

(INTERSECTION X(31)X(42)X(32)X(220))

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: (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) = a(3a - b - c)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(3052) lies on these lines:
3,595    31,42    32,220    40,1104    44,200    45,612    56,1149    57,1279    101,1384    109,1407    154,2352    171,1001    221,1464    222,2078    238,1376    518,1707    614,1155    692,1397    1260,2220    1333,2256    1460,1486    1836,3011    2176,2223    2192,2342

X(3052) = X(56)-Ceva conjugate of X(6)
X(3052) = crosspoint of X(I) and X(J) for these I,J: 109,1252    1420,1743
X(3052) = crosssum of X(522) and X(1086)

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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