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

X(3185)
(X(21)-CEVA CONJUGATE OF X(6))


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(21) and u : v : w = X(6)
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(3185) lies on these lines:
1,859    3,960    12,1894    19,25    21,1610    31,48    35,2933    47,1437    100,312    184,2361    212,692    227,1875    674,3190    851,1836    1011,2182    1460,2178    1630,2328    1953,1962    2176,2223    2179,2304    2308,2317

X(3185) = isogonal conjugate of X(2995)
X(3185) = X(21)-Ceva conjugate of X(6)
X(3185) = crosspoint of X(100) and X(2149)
X(3185) = crosssum of X(123) and X(525)
X(3185) = crossdifference of every pair of points on the line X(905)X(1577)

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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