## X(318) (ISOTOMIC CONJUGATE OF X(77))

 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           (1 + sec A)/a2 : (1 + sec B)/b2 : (1 + sec C)/c2
= sec A csc2A/2 : sec B csc2B/2 : sec C csc2C/2

Barycentrics    (1 + sec A)/a : (1 + sec B)/b : (1 + sec C)/c

X(318) lies on these lines:
2,280    4,8    10,158    29,33    53,594    63,412    75,225    77,309    108,404    200,1089    208,653    239,458    243,958    253,342    281,346    317,319    475,1068

X(318) = isogonal conjugate of X(603)
X(318) = isotomic conjugate of X(77)
X(318) = X(264)-Ceva conjugate of X(92)
X(318) = cevapoint of X(9) and X(33)
X(318) = X(I)-cross conjugate of X(J) for these (I,J): (9,312), (10,8), (281,92)

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