HJB --- GMA --- UFF


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: (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(85)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)

X(2175) lies on these lines:
6,692    9,2330    25,181    31,184    32,560    41,1253    42,2273    48,2223    55,219    154,1460    182,238    213,1973    344,1083    601,1092    760,1760    1036,1682    1037,1362    1401,1473    1631,2245    1691,2176    2056,2162    2209,2210

X(2175) = X(I)-Ceva conjugate of X(J) for these I,J: 31,6    31,32    2194,41
X(2175) = X(1918)-cross conjugate of X(2212)
X(2175) = crosspoint of X(I) and X(J) for these I,J: 31,41    55,607
X(2175) = crosssum of X(I) and X(J) for these I,J: 7,348    8,344    74,85    349,1441

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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