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

X(1412)
(X(81)-BETH CONJUGATE OF X(81))


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) = (1 - cos A)u(a,b,c), where u : v : w = X(81)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1412) lies on these lines:
21,1420    28,1422    56,58    57,77    86,226    109,741    110,1477    269,1396    283,951    394,579    552,553    572,940    580,1092    1171,1400    1326,1402    1333,1407    1427,1461

X(1412) = isogonal conjugate of X(2321)
X(1412) = X(1014)-Ceva conjugate of X(58)
X(1412) = X(I)-cross conjugate of X(J) for these (I,J): (56,1014), (604,1408), (1333,58), (1407,1396)
X(1412) = cevapoint of X(I) and X(J) for these (I,J): (56,604), (1333,1408)

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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