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

X(2646)
(SUM OF PU(80))


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) = 2 cos A + cos B + cos C
Barycentrics    (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)

X(2646) lies on these lines: 1,3    2,1837    6,1732    8,2320    11,214    12,515    20,1836    21,60    24,1905    28,1859    29,243    33,1900    37,48    41,1212    58,2361    72,993    73,820    78,210    104,943    140,1737    154,968    212,1468    224,1001    284,1731    355,498    377,497    405,997    409,662    501,2360    518,2330    550,1770    650,2649    851,2654    991,1456    1100,2245    1104,1193    1152,2362    1201,1279    1476,2346    1831,2355    1848,1852    2638,2658

X(2646) = midpoint of X(1) and X(35)
X(2646) = X(1)-Ceva conjugate of X(2650)
X(2646) = crosspoint of X(1) and X(21)
X(2646) = crosssum of X(1) and X(65)

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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