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

X(2182)
(X(2)-ISOCONJUGATE OF X(102))


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(102)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)

X(2182) lies on these lines:
3,9    6,19    25,1864    33,154    37,48    44,513    46,1743    51,2355    169,374    184,1824    197,210    219,1766    407,1901    517,2323    572,1630    578,1871    604,1108    909,1319    960,1610    1100,1953    1212,2267    1214,1726    1404,2170    1498,1753    1503,1861

X(2182) = X(I)-Ceva conjugate of X(J) for these I,J: 1295,55    1465,1319
X(2182) = crosspoint of X(I) and X(J) for these I,J: 4,2006    57,104
X(2182) = crosssum of X(I) and X(J) for these I,J: 1,2182    3,2323    9,517

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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