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

X(1795)
(INVERSE MIMOSA TRANSFORM OF X(36))


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 A)/(y + z),    x : y : z = X(36)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1795) lies on these lines:
1,104    3,1364    29,58    35,947    36,102    56,945    57,1845    78,255    117,1478    124,499    163,284    171,1065    219,577    282,1743    912,1807    999,1361

X(1795) = isogonal conjugate of X(1785)

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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