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

X(2183)
(X(2)-ISOCONJUGATE OF X(104))


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(104)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)

X(2183) lies on these lines:
1,957    3,2267    4,9    25,212    31,197    36,909    37,1953    44,513    45,1334    51,228    101,953    201,1829    213,2288    219,945    226,1730    294,1937    374,1212    478,2199    511,1818    515,2250    579,610    674,2340    937,2215    1018,2325    1167,1474    1195,2180    1253,1486    1696,2256    1708,1763    1738,1756

X(2183) = X(I)-Ceva conjugate of X(J) for these I,J: 36,902    80,42    102,55    1465,1457    2222,663    2316,6
X(2183) = crosspoint of X(I) and X(J) for these I,J: 6,2161    19,913    57,106    517,1465    901,1262    908,1785
X(2183) = crosssum of X(I) and X(J) for these I,J: 1,2183    9,519    63,914    649,1647    900,1146    909,1795

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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