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

X(1838)
(ZOSMA TRANSFORM OF X(35))


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(35)
Barycentrics    (y + z) tan A : (z + x) tan B : (x + y) tan C,    x : y : z = X(35)

X(1838) lies on these lines:
1,4    2,1076    5,1214    10,92    11,133    19,46    20,1074    27,58    28,36    29,1125    30,1852    47,1754    53,1108    57,1118    65,1243    79,1172    158,273    235,1893    281,1698    403,1873    407,1829    412,516    427,1867    442,1841    517,1888    942,1844    1426,1905    1598,1617    1828,1894    1831,1835

X(1838) = isogonal conjugate of X(1794)
X(1838) = X(4)-Ceva conjugate of X(1844)
X(1838) = cevapoint of X(1841) and X(1859)
X(1838) = crosspoint of X(27) and X(273)
X(1838) = crosssum of X(71) and X(212)

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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