## X(44) (X(6)-LINE CONJUGATE OF X(1))

 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 - 2a : c + a - 2b : a + b - 2c
Barycentrics    a(b + c - 2a) : b(c + a - 2b) : c(a + b - 2c)

X(44) lies on these lines: 1,6    2,89    10,752    31,210    51,209    65,374    88,679    181,375    190,239    193,344    214,1017    241,651    292,660    354,748    513,649    527,1086    583,992    678,902

X(44) is the {X(1),X(9)}-harmonic conjugate of X(45).

X(44) = midpoint of X(190) and X(239)
X(44) = reflection of X(1279) in X(238)
X(44) = isogonal conjugate of X(88)
X(44) = complement of X(320)
X(44) = X(I)-Ceva conjugate of X(J) for these (I,J): (2,214), (88,1), (104,55)
X(44) = crosspoint of X(I) and X(J) for these (I,J): (1,88), (2,80)
X(44) = crosssum of X(I) and X(J) for these (I,J): (1,44), (6,36), (57,1465)
X(44) = crossdifference of any two points on line X(1)X(513)
X(44) = X(6)-line conjugate of X(1)
X(44) = X(88)-cross conjugate of X(44)
X(44) = X(I)-beth conjugate of X(J) for these (I,J): (9,44), (644,44), (645,239), (44,44)

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