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

X(1901)
(ZOSMA TRANSFORM OF X(1172))


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(1172)
Barycentrics    (y + z) tan A : (z + x) tan B : (x + y) tan C,    x : y : z = X(1172)

X(1901) lies on these lines:
4,6    5,579    7,857    9,46    12,71    19,1836    30,284    37,226    65,1826    72,594    115,117    198,851    208,429    219,1478    329,1211    377,965    430,1827    583,1713    946,1108    950,1100    1146,1845

X(1901) = X(653)-Ceva conjugate of X(523)
X(1901) = crosspoint of X(4) and X(226)
X(1901) = crosssum of X(3) and X(284)

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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