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

X(317)
(ISOTOMIC CONJUGATE OF X(68))


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) = sec A cos 2A csc2A
Barycentrics    g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = tan A cos 2A csc2A

X(317) lies on these lines:
2,95    4,69    6,297    25,325    53,524    66,290    141,458    183,427    193,393    261,406    273,320    298,473    299,472    302,470    303,471    318,319    459,1007

X(317) = isogonal conjugate of X(2351)
X(317) = isotomic conjugate of X(68)
X(317) = anticomplement of X(577)
X(317) = cevapoint of X(52) and X(467)

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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