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

X(2170)
(X(2)-ISOCONJUGATE OF X(59))


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(59)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)

X(2170) lies on these lines:
1,41    6,1411    9,644    11,1146    19,604    31,1572    37,374    57,934    65,1475    115,661    163,759    218,1482    220,2098    239,1959    244,665    354,1200    514,1111    517,672    664,673    756,1573    910,1055    926,2310    1086,1358    1100,2264    1107,2292    1108,1400    1195,2260    1212,1334    1404,2182    1731,2323    1870,2202    1914,1951

X(2170) = X(I)-Ceva conjugate of X(J) for these I,J: 1,663    6,661    9,650    11,2310    19,649    57,513    312,522    673,2254    1086,244    1751,656    2006,1769    2161,1635    2217,667

X(2170) = cevapoint of X(1) and X(1053)
X(2170) = crosspoint of X(I) and X(J) for these I,J: 1,514    9,650    11,1086    57,513    312,522    1022,1168    2590,2591

X(2170) = crosssum of X(I) and X(J) for these I,J: 1,101    9,100    57,651    59,1252    63,1813    78,644    109,604    214,1023    1331,2289

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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