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

X(2197)
(X(2)-ISOCONJUGATE OF X(270))


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(270)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)

X(2197) lies on these lines:
3,2286    6,2259    9,1937    12,37    35,1950    39,604    41,800    42,181    48,216    55,608    71,73    198,607    222,1796    278,2335    306,307    1030,1415    1253,2199    1254,1500    2276,2285

X(2197) = X(I)-Ceva conjugate of X(J) for these I,J: 12,181    37,2171    1214,201
X(2197) = crosspoint of X(I) and X(J) for these I,J: 37,71    73,1214
X(2197 = crosssum of X(I) and X(J) for these I,J: 27,81    29,1172    20,2189    270,2326

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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