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

X(3216)
(X(58)-CEVA CONJUGATE OF X(1))


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(58) and u : v : w = X(1)
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(3216) lies on these lines:
1,2    3,1724    6,474    35,238    39,2238    58,404    100,595    171,1203    213,1575    216,1713    267,2640    411,1780    475,3192    500,549    579,610    581,631    662,849    970,1764    979,2163    992,2092    1018,2176    1046,1054    1498,1754    1574,2295    1740,2228    2077,3073    2915,2916    2940,2959

X(3216) = midpoint of X(1201) and X(3214)
X(3216) = reflection of X(1) in X(1201)
X(3216) = X(I)-Ceva conjugate of X(J) for these I,J: 58,1    404,3
X(3216) = X(3159)-cross conjugate of X(1)
X(3216) = X(I)-alpha conjugate of X(J) for these I,J: 21,20    81,2

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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