## X(1107) (CROSSPOINT OF X(1) AND X(274))

 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(b2 + c2) + bc(b + c)
Barycentrics    g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)

X(1107) = midpoint of the bicentric pair y : z : x and z : x : y, where x : y : z = X(213)
X(1107) = insimilicenter of the Spieker and (1/2)-Moses circle. [The (1/2)-Moses circle is described at X(1575).]

X(1107) lies on these lines: 1,6    2,330    10,39    32,993    75,194    210,869    239,257

X(1107) = isogonal conjugate of X(1258)
X(1107) = isotomic conjugate of X(1221)
X(1107) = complement of X(1909)
X(1107) = crosspoint of X(I) and X(J) for these (I,J): (1,274), (2,256), (81,87)
X(1107) = crosssum of X(I) and X(J) for these (I,J): (1,213), (6,171), (37,43)

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