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

X(1617)
(TCC-PERSPECTOR OF X(57))


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)    (see note above X(1601))

X(1617) lies on these lines:
1,3    6,1174    7,1621    22,347    25,105    31,222    41,1202    42,1471    109,1407    219,604    221,595    226,1001    388,405    479,934    518,1260    602,1066    614,1465    910,1108    1006,1056    1055,1200    1279,1427    1362,1397    1384,1415

X(1617) = X(I)-Ceva conjugate of X(J) for these (I,J): (279,6), (1252,109), (1445,218)
X(1617) = crosspoint of X(59) and X(934)

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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