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

X(1386)
(MIDPOINT OF INCENTER AND SYMMEDIAN POINT)


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(a + b + c) + (a2 + b2 + c2)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1386) lies on these lines:
1,6    7,1456    56,77    65,82    81,105    141,1125    171,1054    182,517    206,942    241,1471    511,1385    519,597    524,551    614,940    751,1319

X(1386) = midpoint of X(1) and X(6)
X(1386) = reflection of X(141) in X(1125)
X(1386) = isogonal conjugate of X(1390)
X(1386) = crosspoint of X(1) and X(985)
X(1386) = crosssum of X(1) and X(984)

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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