## X(284) (X(55)-CROSS CONJUGATE OF X(21))

 Interactive Applet

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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           (sin A)/(cos B + cos C) : (sin B)/(cos C + cos A) : (sin C)/(cos A + cos B)
Barycentrics    a2/(cos B + cos C) : b2/(cos C + cos A) : c2/(cos A + cos B)

X(284) lies on these lines:
1,19    2,272    3,6    9,21    27,226    29,950    35,71    37,101    55,219    57,77    60,283    73,951    86,142    102,112    109,296    163,909    198,859    261,332    405,965    515,1065    942,1100

X(284) = isogonal conjugate of X(226)
X(284) = isotomic conjugate of X(349)
X(284) = inverse-in-Brocard-circle of X(579)
X(284) = X(I)-Ceva conjugate of X(J) for these (I,J): (81,58), (333,283)
X(284) = cevapoint of X(I) and X(J) for these (I,J): (6,48), (41,55)
X(284) = X(55)-cross conjugate of X(21)
X(284) = crosspoint of X(I) and X(J) for these (I,J): (21,81), (29,333)
X(284) = crosssum of X(I) and X(J) for these (I,J): (37,65), (73,1400)
X(284) = crossdifference of any two points on line X(523)X(656)

This is a joint work of
Humberto José Bortolossi, Lis Ingrid Roque Lopes Custódio and Suely Machado Meireles Dias.

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Departamento de Matemática Aplicada -- Instituto de Matemática -- Universidade Federal Fluminense