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

X(2176)
(X(2)-ISOCONJUGATE OF X(87))


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(87)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)

X(2176) lies on these lines:
1,6    2,1258    8,2238    31,172    32,101    39,995    41,1914    55,869    56,292    58,2242    71,2277    169,1572    190,194    239,312    304,742    386,1500    672,1201    978,1575    992,2345    1149,1475    1185,1621    1193,1334    1397,2056    1691,2175    2174,2304    2178,2305

X(2176) = isogonal conjugate of X(330)
X(2176) = X(I)-Ceva conjugate of X(J) for these I,J: 31,6    983,55    1423,1403
X(2176) = X(I)-cross conjugate of X(J) for these I,J: 43,6    2209,1403
X(2176) = crosspoint of X(I) and X(J) for these I,J: 31,2209    43,1423    101,1016
X(2176) = crosssum of X(I) and X(J) for these I,J: 2,1278    87,2319    514,1015

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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