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

X(3157)
(X(1)-CEVA CONJUGATE OF X(3))


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(1) and u : v : w = X(3)
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(3157) lies on these lines:
1,90    3,73    6,169    12,68    31,1066    40,1419    46,1079    55,500    56,215    65,921    72,394    221,517    495,611    602,1458    916,2293    971,1498    999,1201    1062,1071    1064,1496    1092,1425    1339,1616    1433,1807    1480,3057    1745,1936    1854,2771    1870,1993

X(3157) = X(I)-Ceva conjugate of X(J) for these I,J: 1,3    3173,3211    3193,46
X(3157) = crosspoint of X(I) and X(J) for these I,J: 1,46    1800,3193
X(3157) = crosssum of X(1) and X(90)

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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