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

X(1676)
(INSIMILICENTER(1ST LEMOINE 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) = cos(B - C) + cos(A - ω)
Barycentrics    (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)

X(1676) lies on these lines:
2,1343    4,1342    5,182    10,1684    11,1672    12,1673    76,1671    115,2035    262,1670    371,2010    372,2009    485,1688    486,1687    1329,1680    1506,2036    1662,2040    1663,2039    1698,1701    1699,1700

X(1676) = X(32)-Ceva conjugate of X(1677)

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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