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

X(2948)
(EXCENTRAL ISOGONAL CONJUGATE OF X(30))


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            f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) is as described just before X(2883)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(2948) lies on the Bevan circle and these lines:
1,60    3,191    6,1718    40,2940    74,165    80,2607    113,1699    125,1698    146,516    399,517    518,2930    758,1325    912,2931    1046,1054    1282,2774    1498,2778    2100,2574    2101,2575    2772,2938    2779,2939

X(2948) = reflection of X(1) in X(110)
X(2948) = X(I)-Ceva conjugate of X(J) for these I,J: 758,1    1325,3
X(2948) = X(I)-alpha conjugate of X(J) for these I,J: 366,2245    758,2948

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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