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

X(2310)
(X(2)-ISOCONJUGATE OF X(1262))


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            a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b), where f(a,b,c) is as in X(1262)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)

X(2310) lies on these lines:
1,651    4,774    9,294    11,244    31,33    37,2293    38,497    42,1864    45,55    73,1898    84,1106    90,255    390,984    516,1736    522,1090    692,2265    748,1040    896,1776    926,2170    950,2292    971,1458    990,1471    1400,1827    1445,1721    1857,2181    2112,2268    2201,2312

X(2310) = X(I)-Ceva conjugate of X(J) for these I,J: 1,650    4,661    11,2170    33,663    84,649    90,652    104,1635    1088,514    1098,1021

X(2310) = crosspoint of X(I) and X(J) for these I,J: 1,650    9,522    11,1146    19,513    514,1088    1021,1098
X(2310) = crosssum of X(I) and X(J) for these I,J: 1,651    57,109    59,1262    63,100    101,1253    255,1813    269,934    412,653    1020,1254    1106,1461


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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