## X(3009) ((LEMOINE AXIS)∩(NAGEL LINE))

 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) = a[a(b2 + c2) - bc(b + c)]
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(3009) lies on these lines:
1,2    31,172    37,1964    101,2210    187,237    192,1740    213,2308    238,660    292,672    536,2234    694,2054    741,1931    872,1100    1914,2109    2111,2116    2113,2114

X(3009) = isogonal conjugate of X(3226)
X(3009) = X(I)-Ceva conjugate of X(J) for these I,J: 238,672    660,649    727,6    1911,42
X(3009) = crosspoint of X(I) and X(J) for these I,J: 1,292    6,727    1463,1575
X(3009) = crosssum of X(I) and X(J) for these I,J: 1,239    2,726

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