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

X(2331)
(X(2)-ISOCONJUGATE OF X(1433))


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            a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b), where f(a,b,c) is as in X(1433)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)

X(2331) lies on these lines:
1,281    6,19    9,1783    33,42    55,204    73,207    77,653    196,223    198,208    222,1767    614,1108    1103,2324    1436,1455    1735,1741    1854,1903

X(2331) = X(I)-Ceva conjugate of X(J) for these I,J: 1,33    196,208    281,9
X(2331) = X(2187)-cross conjugate of X(40)
X(2331) = crosspoint of X(1) and X(223)
X(2331) = crosssum of X(I) and X(J) for these I,J: 1,282    268,1433

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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