## X(1935) (CROSSSUM OF PU(15))

 Interactive Applet

You can move the points A, B and C (click on the point and drag it).
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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           f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = cos2A + cos B cos C
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1935) lies on these lines:
1,90    2,603    3,1745    4,255    7,1451    9,478    10,109    12,171    20,212    21,73    31,388    34,63    40,1777    47,1478    56,87    57,1724    58,226    65,1046    84,1040    221,958    222,405    225,283    415,1098    497,1496    748,1106    774,1776    896,1254    940,1806    960,1455    978,1470    1056,1497    1400,1778    1448,1708    1761,1880

X(1935) = X(296)-Ceva conjugate of X(1936)
X(1935) = cevapoint of X(1046) and X(1745)

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