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

X(2222)
(X(2)-ISOCONJUGATE OF X(654))


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            a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b), where f(a,b,c) is as in X(654)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)

X(2222) lies on the circumcircle and these lines:
1,953    36,80    57,840    59,110    74,484    100,522    101,650    102,517    103,1155    105,2006    106,1168    109,513    162,933    243,917    661,2149    675,1447    759,859    910,2161    915,1785    919,1024    1141,2166    1295,2077    1298,1956    1308,2283    2249,2341

X(2222) = cevapoint of X(I) and X(J) for these I,J: 518,1319    663,2183
X(2222) = X(I)-cross conjugate of X(J) for these I,J: 513,1168    1635,57    1769,1

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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