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

X(1905)
(ZOSMA TRANSFORM OF X(1478))


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(1478)
Barycentrics    (y + z) tan A : (z + x) tan B : (x + y) tan C,    x : y : z = X(1478)

X(1905) lies on these lines:
1,25    3,1452    4,65    33,517    34,222    46,1593    52,1866    169,607    225,1831    354,1870    378,1155    406,960    427,1737    1426,1838    1478,1892    1730,1735    1770,1885    1785,1824    1825,1872    1827,1845    1828,1844

X(1905) = reflection of X(222) in X(942)
X(1905) = crosspoint of X(4) and X(1061)
X(1905) = crosssum of X(3) and X(1060)

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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