## X(313) (ISOTOMIC CONJUGATE OF X(58))

 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)b3c3 : (c + a)c3a3 : (a + b)a3b3
= (b + c)csc(A - ω) : (c + a)csc(B - ω) : (a + b)csc(C - ω)

Barycentrics    (b + c)b2c2 : (c + a)c2a2 : (a + b)a2b2

X(313) lies on these lines: 10,75    12,349    42,308    71,190    80,314    92,264    321,594    561,696

X(313) = isogonal conjugate of X(2206)
X(313) = isotomic conjugate of X(58)
X(313) = X(76)-Ceva conjugate of X(321)
X(313) = cevapoint of X(10) and X(306)
X(313) = X(321)-cross conjugate of X(349)
X(313) = crosssum of X(32) and X(560)

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