## X(50) (X(74)-CEVA CONJUGATE OF X(184))

 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           sin 3A : sin 3B : sin 3C
Barycentrics    sin A sin 3A : sin B sin 3B : sin C sin 3C

X(50) lies on these lines: 3,6    67,248    112,477    115,231    230,858    338,401    647,654

X(50) is the {X(3),X(6)}-harmonic conjugate of X(566).

X(50) = isogonal conjugate of X(94)
X(50) = inverse-in-Brocard-circle of X(566)
X(50) = X(I)-Ceva conjugate of X(J) for these (I,J): (1,215), (74,184), (94,49)
X(50) = crosspoint of X(I) and X(J) for these (I,J): (93,94), (186,323)
X(50) = crosssum of X(49) and X(50)
X(50) = crossdifference of any two points on line X(5)X(523)
X(50) = barycentric product of X(15) and X(16)

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