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

X(1420)
(X(145)-BETH CONJUGATE OF X(145))


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(145)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1420) lies on these lines:
1,3    9,604    21,1412    34,106    73,995    84,104    109,1106    222,1191    223,1104    226,452    269,1279    386,1450    388,1125    595,603    610,1108    738,934    936,956    944,1210    1042,1149    1201,1419    1394,1457    1400,1449

X(1420) = X(I)-Ceva conjugate of X(J) for these (I,J): (269,57), (765,109)

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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