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           f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = - (cos A)/x + (cos B)/y + (cos C)/z,    x : y : z = X(1295)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1785) lies on these lines:
1,4    2,1074    9,393    10,158    20,1076    25,1324    36,108    37,53    40,1118    46,208    65,1872    106,1309    240,522    406,498    407,1844    475,499    517,1361    519,1897    942,1887    942,1887    1210,1895    1249,1743    1465,1532    1712,1714    1770,1771    1783,1886    1824,1894    1830,1835    1867,1904

X(1785) = reflection of X(1845) in X(1875)
X(1785) = isogonal conjugate of X(1795)
X(1785) = inverse-in-incircle of X(946)
X(1785) = X(4)-Ceva conjugate of X(1845)

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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