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

X(1697)
(INSIMILICENTER(BEVAN CIRCLE, INCIRCLE))


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) = 3 + cos A - cos B - cos C
Barycentrics    (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)

The exsimilicenter of the Bevan circle and incircle is X(57).

X(1697) lies on these lines:
1,3    2,1706    8,9    10,497    11,1698    12,1699    33,1831    43,1682    63,145    71,1732    84,944    109,1496    181,1695    200,960    212,595    219,380    221,1419    226,962    388,516    392,936    519,1776    580,1497    1015,1571    1058,1210    1124,1703    1317,1768    1335,1702    1500,1572    1672,1701    1673,1700    1674,1705    1675,1704    2007,2018    2008,2017

X(1697) = X(2339)-Ceva conjugate of X(9)

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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