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

X(3190)
(X(29)-CEVA CONJUGATE OF X(9))


Click here to access the list of all triangle centers.

Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears            u(-u/x + v/y + w/z) : v(u/x - v/y + w/z) : w(u/x + v/y - w/z), where x : y : z = X(29) and u : v : w = X(9)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b), where f(a,b,c) = u(-u/x + v/y + w/z)

X(3190) lies on these lines:
1,2    6,1260    9,2318    25,101    33,2900    57,1818    58,1259    63,991    72,581    100,1754    109,3173    197,1630    209,579    212,2323    219,284    228,573    318,2901    516,2947    517,3198    518,1214    674,3185    1331,1993    1612,1724    1897,2052    2172,2187

X(3190) = X(29)-Ceva conjugate of X(9)
X(3190) = crosspoint of X(1252) and X(1897)
X(3190) = crosssum of X(1086) and X(1459)
X(3190) = crossdifference of every pair of points on the line X(649)X(2504)

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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