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

X(2099)
(REFLECTION OF X(55) IN X(1))


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 + b - c)(a - b + c)(a - 2b - 2c)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(2099) lies on these lines:
1,3    4,1389    6,1411    7,528    8,12    33,1875    34,1824    42,1457    45,1405    80,381    145,388    226,519    515,1836    674,1469    758,956    946,1837    952,1478    959,1255    1149,1450    1392,1476    1399,1468

X(2099) = reflection of X(56) in X(1)
X(2099) = isogonal conjugate of X(2320)

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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