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

X(1813)
(INVERSE MIMOSA TRANSFORM OF X(650))


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(650)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1813) lies on these lines:
48,77    59,677    65,1800    73,895    101,651    109,110    219,1804    222,1797    224,1420    283,296    284,1442    287,307    347,1630    604,1445    648,653    1214,1790

X(1813) = isogonal conjugate of X(3064)
X(1813) = X(I)-Ceva conjugate of X(J) for these (I,J): (662,651), (664,109)
X(1813) = cevapoint of X(I) and X(J) for these (I,J): (3,652), (48,1459), (905,1214)
X(1813) = X(219)-cross conjugate of X(59)

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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