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

X(2316)
(X(2)-ISOCONJUGATE OF X(1319))


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(1319)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)

X(2316) lies on these lines:
6,101    9,644    19,1743    36,909    41,2364    44,517    57,88    284,2347    294,1024    329,1751    333,645    527,666    573,2164    579,1436    672,901    1318,2323

X(2316) = X(I)-Ceva conjugate of X(J) for these I,J: 88,106    1318,55
X(2316) = cevapoint of X(I) and X(J) for these I,J: 6,2183    41,2361
X(2316) = X(I)-cross conjugate of X(J) for these I,J: 55,1318    654,101    2323,284    2342,102
X(2316) = crosssum of X(I) and X(J) for these I,J: 44,1319    1149,2183    1635,1647

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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