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

X(1826)
(ZOSMA TRANSFORM OF X(6))


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(6)
Barycentrics    (y + z) tan A : (z + x) tan B : (x + y) tan C,    x : y : z = X(6)

X(1826) lies on these lines:
4,9    6,1837    11,1108    12,37    25,1631    27,1268    28,1224    29,1220    33,42    48,515    53,1904    65,1868    80,1172    92,264    101,1300    209,1859    210,430    219,355    286,334    407,1213    427,1841    579,1737    608,1877    857,1441    1744,1770    1836,1853

X(1826) = isogonal conjugate of X(1790)
X(1826) = X(I)-Ceva conjugate of X(J) for these (I,J): (4,1824), (281,37)
X(1826) = cevapoint of X(1) and X(1719)
X(1826) = X(42)-cross conjugate of X(10)
X(1826) = crosspoint of X(4) and X(92)
X(1826) = crosssum of X(3) and X(48)

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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