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

X(1698)
(INSIMILICENTER(BEVAN CIRCLE, NINE-POINT CIRCLE))


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) = 2 cos(B - C) + cos A - cos B - cos C + 1
Trilinears           bc(a + 2b + 2c) : ca(b + 2c + 2a) : ab(c + 2a + 2b)       (M. Iliev, 5/13/07)

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

X(1698) lies on these lines:
1,2    4,165    5,40    9,46    11,1697    12,57    21,600    33,451    35,405    36,474    58,750    75,1089    115,1571    116,1282    119,1768    121,1054    140,355    171,1724    210,942    226,1788    281,1838    318,1784    320,1757    404,993    406,1861    443,1478    485,1703    486,1702    515,631    517,1656    595,748    632,952    966,1743    986,1739    1348,1705    1349,1704    1506,1572    1676,1701    1677,1700    2009,2018    2010,2017

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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