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/[(b - c)(b2 + c2 - a2)]       (M. Iliev, 5/13/07)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1783) lies on these lines:
4,218    6,281    19,1743    28,291    80,1172    100,112    101,108    150,1814    200,204    219,1249    240,1757    644,648    650,1415    651,653    899,1430    905,934    1103,1712    1718,1723    1785,1886

X(1783) = isogonal conjugate of X(905)
X(1783) = X(I)-Ceva conjugate of X(J) for these (I,J): (648,1897), (653,108)
X(1783) = cevapoint of X(I) and X(J) for these (I,J): (1,1734), (6,650), (513,614)
X(1783) = crosspoint of X(I) and X(J) for these (I,J): (162,648), (653,1897)
X(1783) = crosssum of X(I) and X(J) for these (I,J): (647,656), (652,1459), (513,614)
X(1783) = X(I)-aleph conjugate of X(J) for these (I,J): (108,1707), (651,610), (653,19)

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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