X(45) (X(9)-BETH 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           2b + 2c - a : 2c + 2a - b : 2a + 2b - c
Barycentrics    a(2b + 2c - a) : b(2c + 2a - b) : c(2a + 2b - c)

X(45) lies on these lines: 1,6    2,88    53,281    55,678    141,344    198,1030    210,968    346,594

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

X(45) = isogonal conjugate of X(89)
X(45) = crosssum of X(6) and X(999)
X(45) = X(I)-beth conjugate of X(J) for these (I,J): (9,1), (644,45)

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