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

X(1468)
(X(958)-BETH CONJUGATE OF X(958))


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) = (1 - cos A)u(a,b,c), where u : v : w = X(958)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1468) lies on these lines:
1,21    3,42    4,1430    6,41    8,171    10,750    36,386    43,404    57,961    65,603    75,757    222,1042    294,1416    330,985    354,1104    474,899    517,601    518,976    602,1385    614,1453    748,1125    756,975    940,958    995,1203    999,1201    1149,1191

X(1468) = crosssum of X(9) and X(612)
X(1468) = crossdifference of any two points on line X(522)X(661)

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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