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

X(1836)
(ZOSMA TRANSFORM OF X(33))


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(33)
Barycentrics    (y + z) tan A : (z + x) tan B : (x + y) tan C,    x : y : z = X(33)

X(1836) lies on these lines:
1,30    2,1155    3,1770    4,65    5,46    6,1839    7,354    11,57    12,40    19,1901    33,1892    34,1852    55,226    56,946    210,329    221,225    235,1452    278,1456    377,960    381,1737    388,962    517,1478    614,1086    908,1376    942,1479    1040,1721    1158,1454    1399,1777    1470,1519    1826,1853

X(1836) = reflection of X(I) in X(J) for these (I,J): (55,226), (1012,946)
X(1836) = crosspoint of X(4) and X(7)
X(1836) = crosssum of X(3) and X(55)

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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