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

X(2323)
(X(2)-ISOCONJUGATE OF X(1411))


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(1411)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)

X(2323) lies on these lines:
1,6    35,2278    36,2245    40,1181    48,573    54,71    55,2364    57,394    59,672    60,283    63,1993    101,953    155,610    239,1944    282,1069    323,1443    517,2182    521,650    527,651    579,604    644,2325    648,1948    674,692    677,2338    758,1870    908,2006    909,2077    1318,2316    1731,2170    1766,2261

X(2323) = isogonal conjugate of X(2006)
X(2323) = X(I)-Ceva conjugate of X(J) for these I,J: 908,2077    1320,55
X(2323) = X(2361)-cross conjugate of X(36)
X(2323) = crosspoint of X(284) and X(2316)
X(2323) = crosssum of X(I) and X(J) for these I,J: 73,2252    1400,1457    1411,2161    1769,2170

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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