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

X(2979)
(CENTROID OF DUAL TRIANGLE OF X(4))


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) = a(b4 + c4 + b2c2 - a2b2 - a2c2)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(2979) lies on these lines: 2,51    3,54    4,1216    6,1627    22,110    52,631    66,69    182,1994    184,323    343,858    476,2706    549,568    805,2857    930,1298    991,1779    1160,1584    1161,1583    1501,2076    2888,2889

X(2979) = reflection of X(568) in X(549)
X(2979) = isogonal conjugate of X(2980)
X(2979) = anticomplement of X(51)
X(2979) = crosspoint of X(249) and X(670)
X(2979) = crosssum of X(115) and X(669)

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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