## X(216) (X(5)-CEVA CONJUGATE OF X(51))

 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 2A cos(B - C) : sin 2B cos(C - A) : sin 2C cos(A - B)
Barycentrics    (sin A)(sin 2A)cos(B - C) : sin B sin 2B cos(C - A) : sin C sin 2C cos(A - B)

X(216) lies on these lines:
2,232    3,6    5,53    51,418    95,648    97,288    115,131    157,206    395,465    373,852    395,465    396,466    631,1075    1015,1060

X(216) = isogonal conjugate of X(275)
X(216) = isotomic conjugate of X(276)
X(216) = inverse-in-Brocard-circle of X(577)
X(216) = complement of X(264)
X(216) = X(I)-Ceva conjugate of X(J) for these (I,J): (2,5), (3,418), (5,51), (324,52)
X(216) = cevapoint of X(217) and X(418)
X(216) = X(217)-cross conjugate of X(51)
X(216) = crosspoint of X(I) and X(J) for these (I,J): (2,3), (5,343)
X(216) = crosssum of X(4) and X(6)
X(216) = crossdifference of any two points on line X(186)X(523)

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