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

X(2291)
(X(2)-ISOCONJUGATE OF X(1155))


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(1155)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)

X(2291) lies on the circumcircle and these lines:
6,109    9,100    19,108    55,101    57,934    99,333    103,654    105,1024    106,665    110,284    112,2299    165,1292    573,1293    649,840    672,901    673,927    902,919    909,2272    910,2161    932,2319    1055,2078    1108,2160    1155,1308    1174,1200    1305,1751    1310,2339    1630,2164    2280,2364

X(2291) = isogonal conjugate of X(527)
X(2291) = cevapoint of X(6) and X(1055)
X(2291) = X(2078)-cross conjugate of X(1174)

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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