X(1951) (CROSSDIFFERENCE OF PU(20))

 Interactive Applet

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 Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears           f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = a(cos2A - cos B cos C)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1951) lies on these lines:
1,1729    3,607    6,41    19,577    21,270    104,294    517,906    652,663    851,1430    910,1415    1262,1465    1409,1630

X(1951) = isogonal conjugate of X(1952)
X(1951) = X(1949)-Ceva conjugate of X(1950)
X(1951) = crosspoint of X(243) and X(1944)
X(1951) = crosssum of X(I) and X(J) for these (I,J): (296,1945), (1947,1948)

This is a joint work of
Humberto José Bortolossi, Lis Ingrid Roque Lopes Custódio and Suely Machado Meireles Dias.