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) = (1 - cos A)u(a,b,c), where u : v : w = X(101)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1415) lies on these lines:
6,909    32,56    41,609    57,609    65,172    101,109    108,112    198,478    213,1399    571,608    604,1417    651,662    910,1455    919,934    923,1402    1055,1457    1333,1400

X(1415) = X(I)-Ceva conjugate of X(J) for these (I,J): (59,1397), (109,692), (1262,56)
X(1415) = X(I)-cross conjugate of X(J) for these (I,J): (649,1333), (667,56), (1397,59)
X(1415) = cevapoint of X(I) and X(J) for these (I,J): (32,667), (649,1400)
X(1415) = crosspoint of X(I) and X(J) for these (I,J): (108,651), (109,1461), (112,163)
X(1415) = crosssum of X(521) and X(650)
X(1415) = crossdifference of any two points on line X(11)X(123)
X(1415) = barycentric product of X(1381) and X(1382)

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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