## X(690) (CROSSDIFFERENCE OF LINE X(6) AND X(110))

 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            f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = bc(b2 - c2)(2a2 - b2 - c2)
Barycentrics    g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)

As the isogonal conjugate of a point on the circumcircle, X(690) lies on the line at infinity.

X(690) lies on these lines:
30,511    74,98    99,110    113,114    115,125    146,147

X(690) = orthopoint of X(542)
X(690) = isogonal conjugate of X(691)
X(690) = isotomic conjugate of X(892)
X(690) = X(67)-Ceva conjugate of X(125)
X(690) = crosssum of X(I) and X(J) for these (I,J): (6,351), (187,512), (523,858)
X(690) = crossdifference of any two points on line X(6)X(110)

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