INSTITUTO DE MATEMÁTICA
HJB --- GMA --- UFF

X(2968)
(2ND MACBEATH POINT)


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: tc.zip (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) = [bc(b - c)(b + c - a)]2cos A
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(2968) lies on these lines:
2,1897    3,8    4,280    5,318    11,123    78,1062    116,122    124,522    189,972    200,1040    216,594    239,441    253,1119    345,1260    521,1364    525,2632    867,2969    1465,1861

X(2968) = complement of X(1897)
X(2968) = X(I)-Ceva conjugate of X(J) for these I,J: 8,521    75,525    253,514    280,522    2370,900
X(2968) = crosspoint of X(189) and X(693)
X(2968) = crosssum of X(I) and X(J) for these I,J: 184,1415    198,692

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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