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

X(2292)
(X(2)-ISOCONJUGATE OF X(1169))


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(1169)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)

X(2292) lies on these lines:
1,21    2,986    8,192    10,321    29,240    37,65    40,612    42,72    46,750    55,976    190,1220    221,2256    226,1254    244,1125    392,1201    690,2254    950,2310    960,1193    1042,1214    1107,2170    1717,1773    1761,2303    1829,2269    1868,1880

X(2292) = isogonal conjugate of X(2363)

X(2292) = reflection of X(2650) in X(1)
X(2292) = X(I)-Ceva conjugate of X(J) for these I,J: 1,1193    109,656    190,661
X(2292) = crosspoint of X(I) and X(J) for these I,J: 1,10    75,226
X(2292) = crosssum of X(I) and X(J) for these I,J: 1,58    31,284

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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