## X(971) (INTERSECTION OF LINES X(3)X(9) AND X(4)X(7))

 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) = a4(b + c) - 2a3(b2 + c2 - bc) + 2a(b - c)2(b2 + c2 + bc) - (b - c)2(b + c)3
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(971) lies on the line at infinity.

X(971) lies on these lines:
3,9    4,7    5,142    6,990    20,72    30,511    33,222    37,991    103,910    165,210    390,944    954,1012

X(971) = isogonal conjugate of X(972)
X(971) = crosssum of X(55) and X(910)

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