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

X(2951)
(EXCENTRAL ISOGONAL CONJUGATE OF X(57))


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(2951) lies on these lines:
1,7    9,165    40,971    63,2942    142,1699    144,200    166,167    191,2938    518,2136    610,1633    1050,1740    1158,2949    1292,2371

X(2951) = X(I)-Ceva conjugate of X(J) for these I,J: 144,9    200,1
X(2951) = X(I)-aleph conjugate of X(J) for these I,J: 2,1445    9,1    55,1740    100,651    188,57    200,2951    259,978    281,920    312,1760    318,1748    643,662    644,100    650,1052    664,658    1897,653    2287,411    2322,412


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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