## X(1895) (ZOSMA TRANSFORM OF X(1044))

 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 , 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(1044)
Barycentrics    (y + z) tan A : (z + x) tan B : (x + y) tan C,    x : y : z = X(1044)

X(1895) lies on these lines:
1,29    2,280    4,7    8,1054    40,653    40,653    48,821    56,243    57,412    63,1712    78,1897    108,411    162,255    196,962    204,1097    240,774    304,811    388,1857    497,1118    517,1148    1210,1785    1445,1753

X(1895) = X(75)-Ceva conjugate of X(92)
X(1895) = cevapoint of X(I) and X(J) for these (I,J): (1,1712), (204,610)

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