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

X(3146)
(X(253)-CEVA CONJUGATE OF X(2))


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(253) and u : v : w = X(2)
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(3146) lies on these lines:
2,3    7,950    8,144    34,3100    78,1750    145,515    148,2794    149,2829    193,1503    385,2996    388,390    489,1271    490,1270    1105,1629    1131,3068    1132,3069    1151,2671    1152,2672    1181,1994    1498,1993

X(3146) = reflection of X(I) in X(J) for these I,J: 4,382    20,4    145,962    1657,5
X(3146) = anticomplement of X(20)
X(3146) = X(253)-Ceva conjugate of X(2)
X(3146) = crosspoint of X(1131) and X(1132)
X(3146) = crosssum of X(1151) and X(1152)

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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