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

X(1872)
(ZOSMA TRANSFORM OF X(499))


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           (y + z) sec A : (z + x) sec B : (x + y) sec C,    x : y : z = X(499)
Barycentrics    (y + z) tan A : (z + x) tan B : (x + y) tan C,    x : y : z = X(499)

X(1872) lies on these lines:
1,1887    3,33    4,8    5,1861    19,1598    34,1482    40,1859    65,1785    225,1830    389,1864    1068,1876    1595,1848    1715,1736    1825,1905

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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