HJB --- GMA --- UFF


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           bc(3a - b - c) : ca(3b - c - a) : ab(3c - a - b)
Barycentrics    3a - b - c : 3b - c -a : 3c - a - b

X(145) = X(8)-of-anticomplementary triangle

X(145) lies on these lines: 1,2    4,149    6,346    20,517    21,956    37,391    56,100    72,452    81,1043    144,192    218,644    279,664    329,950    330,1002    377,1056    404,999    515,962

X(145) is the {X(1),X(8)}-harmonic conjugate of X(2).

X(145) = reflection of X(I) in X(J) for these (I,J): (3,1483), (4,1482), (8,1), (20,944), (100,1317), (144,390), (149,1320)
X(145) = anticomplement of X(8)
X(145) = X(7)-Ceva conjugate of X(2)
X(145) = crosssum of X(663) and X(1015)
X(145) = X(643)-beth conjugate of X(56)

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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