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

X(2720)
(SR(X(100), X(108)))


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) is as given just before X(2677) using P = X(100), U = X(108)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(2720) lies on the circumcircle and these lines:
1,2716    3,2745    7,2861    36,102    56,953    57,2717    59,100    65,2687    101,652    103,2078    104,1319    106,1457    108,513    109,1459    497,2723    517,1395    840,1617    883,2865    909,2272    915,1870    919,2423    929,2401    944,2734    972,1155    1214,2747    1397,2726    1402,2699    1420,2718    2283,2742

X(2720) = reflection of X(2745) in X(3)
X(2720) = isogonal conjugate of X(2804)
X(2720) = cevapoint of X(663) and X(1404)
X(2720) = X(I)-cross conjugate of X(J) for these I,J: 654,57    1319,59

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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