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

X(2194)
(X(2)-ISOCONJUGATE OF X(226))


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(226)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)

X(2194) lies on these lines:
1,1762    3,1779    6,25    19,2219    21,60    27,1836    28,65    29,1837    31,48    41,212    42,692    55,219    56,58    81,105    199,2245    210,2287    228,2174    283,1036    904,2210    1011,2278    1155,1817    1172,1859    1185,1501    1396,1456    1415,1949    1834,1884    2150,2193    2192,2332    2260,2308

X(2194) = isogonal conjugate of X(1441)
X(2194) = X(I)-Ceva conjugate of X(J) for these I,J: 21,2193    1169,32    1172,2204    1175,6
X(2194) = cevapoint of X(I) and X(J) for these I,J: 31,184    41,2175   
X(2194) = X(I)-cross conjugate of X(J) for these I,J: 31,2299    41,284    663,692
X(2194) = crosspoint of X(I) and X(J) for these I,J: 21,1172    58,284    60,2150
X(2194) = crosssum of X(I) and X(J) for these I,J: 1,1762    2,2475    10,226    65,1214

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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