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

X(2245)
(X(2)-ISOCONJUGATE OF X(759))


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(759)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)

X(2245) lies on these lines:
3,6    9,46    19,407    36,2323    37,65    40,1834    44,513    63,1211    199,2194    209,228    219,2178    377,966    429,1452    440,1708    484,2161    674,2223    1100,2260    1195,2264    1405,2267    1454,2285    1631,2175    1732,2082

X(2245) = inverse-in-Brocard-circle of X(2278)
X(2245) = X(I)-Ceva conjugate conjugate of X(J) for these I,J: 54,215    901,512    1983,654    2250,37
X(2245) = cevapoint of X(2088) and X(2624)
X(2245) = X(I)-cross conjugate conjugate of X(J) for these I,J: 2088,2610    2624,1983
X(2245) = crosspoint of X(59) and X(655)
X(2245) = crosssum of X(I) and X(J) for these I,J: 1,2245    6,859    11,654    80,2161    759,2341    2610,2611

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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