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

X(2268)
(X(2)-ISOCONJUGATE OF X(959))


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(959)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)

X(2268) lies on these lines:
1,572    2,1958    3,1400    6,31    9,21    19,1831    33,1474    35,573    37,48    44,584    45,2174    73,478    219,1334    281,2202    312,2185    346,2329    380,2082    608,1593    748,992    750,851    941,987    950,964    968,2187    1212,2264    1438,2297    1449,1697    1903,2188    1950,2199    2112,2310    2261,2302

X(2268) = X(I)-Ceva conjugate of X(J) for these I,J: 940,1468    987,31
X(2268) = crosspoint of X(I) and X(J) for these I,J: 1,2339    940,958
X(2268) = crosssum of X(I) and X(J) for these I,J: 1,2285    941,959

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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