## X(244) (X(1)-LINE CONJUGATE OF X(100))

 Interactive Applet

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This applet was built with the free and multiplatform dynamic geometry software C.a.R..

 Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears           (b - c)2 : (c - a)2 : (a - b)2
= f(A,B,C) : f(B,C,A) : f(C,A,B), where f(A,B,C) = [1 - cos(B - C)]sin2(A/2)
Barycentrics    a(b - c)2 : b(c - a)2 : c(a - b)2

X(244) lies on these lines: 1,88    2,38    11,867    31,57    34,1106    42,354    58,229    63,748    238,896    474,976    518,899    596,1089    665,866

X(244) = isogonal conjugate of X(765)
X(244) = X(I)-Ceva conjugate of X(J) for these (I,J): (1,513), (75,514)
X(244) = crosspoint of X(1) and X(513)
X(244) = crosssum of X(I) and X(J) for these (I,J): (1,100), (31,101), (78,1331), (109,1420), (200,644), (651,1445), (678,1023), (756,1018)

X(244) = crossdifference of any two points on line X(100)X(101)
X(244) = X(1)-Hirst inverse of X(1054)
X(244) = X(1)-line conjugate of X(100)

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