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 - ω) - sin A

Trilinears           g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = cos A - (sec ω - tan ω) sin A

Barycentrics    (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)

X(1688) lies on these lines:
3,6    83,2009    98,2010    485,1676    486,1677    1124,1672    1335,1673    1377,1680    1378,1681    1700,1702    1701,1703

X(1688) = reflection of X(1687) in X(1691)
X(1688) = isogonal conjugate of X(2010)
X(1688) = inverse-in-circumcircle of X(1687)
X(1688) = inverse-in-Brocard-circle of X(1689)
X(1688) = inverse-in-1st-Lemoine-circle of X(1687)
X(1688) = X(98)-Ceva conjugate of X(1687)

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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