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

X(2178)
(X(2)-ISOCONJUGATE OF X(90))


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(90)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)

X(2178) lies on these lines:
3,37    6,41    9,36    19,1609    25,1841    45,1696    55,199    101,579    108,393    197,1402    218,583    219,2245    230,444    404,2345    571,608    594,1376    859,1333    910,1108    958,1213    999,1100    1182,1630    1319,2262    1420,2270    1436,2161    1457,2199    1470,2285    1486,2223    2092,2242    2176,2305

X(2178) = isogonal conjugate of X(2994)
X(2178) = X(19)-Ceva conjugate of X(6)
X(2178) = crosspoint of X(108) and X(1262)
X(2178) = crosssum of X(I) and X(J) for these I,J: 521,1146    1069,2164

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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