HJB --- GMA --- UFF

(INTERSECTION X(3)X(6)X(4)X(230))

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(3a2 - b2 - c2)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(3053) lies on these lines:
3,6    4,230    22,1184    24,112    25,1611    35,609    56,1914    64,248    76,1003    115,382    140,2548    154,237    218,2251    550,2549    988,1100    999,2241    1385,1572    1498,1971    2176,2223

X(3053) = isogonal conjugate of X(2996)
X(3053) = inverse-in-circumscirlce of X(1692)
X(3053) = X(25)-Ceva conjugate of X(6)
X(3053) = crosspoint of X(I) and X(J) for these I,J: 112,249    193,459
X(3053) = crosssum of X(115) and X(525)

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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