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

X(2328)
(X(2)-ISOCONJUGATE OF X(1427))


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(1427)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)

X(2328) lies on these lines:
1,21    2,1754    3,64    9,33    10,29    25,573    27,516    28,40    35,1819    55,219    71,1474    101,228    103,110    109,1214    165,1817    184,572    199,1495    200,1253    210,2341    220,1260    268,2192    333,643    387,452    394,991    405,580    440,1503    461,966    501,1800    902,2206    963,1437    1043,1098    1167,1785    1333,2256    1412,1617    1778,2257

X(2328) = X(I)-Ceva conjugate of X(J) for these I,J: 21,284    643,1021    1043,2327    1098,2287    2322,2332
X(2328) = X(220)-cross conjugate of X(2287)
X(2328) = crosspoint of X(I) and X(J) for these I,J: 21,2287    1043,2322
X(2328) = crosssum of X(65) and X(1427)

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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