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X(1), X(4), X(28), X(46), X(79), X(442), X(942), X(1838), X(1844), X(2906), X(14054), X(39267)

vertices of the orthic triangle

points of pK(X6, X72) on the line at infinity

points of pK(X6, X14054) on the circumcircle

Geometric properties :

K1184 is a member of CL019 and the isogonal transform of pK(X3 x X943, X943), a member of CL074.

K1184 is the isogonal pK having for pivot X(942) with respect to the orthic triangle.

Other centers on the curve :

P1 = (a^2 b-b^3+a^2 c+2 a b c+b^2 c+b c^2-c^3) (2 a^4+a^3 b-a^2 b^2-a b^3-b^4+a^3 c+a b^2 c-a^2 c^2+a b c^2+2 b^2 c^2-a c^3-c^4) : : , SEARCH =-0.8362419577738927, on the line {1,79}.

P2 = (b+c) (-a^3-a^2 b+a b^2+b^3-a^2 c-a b c+b^2 c-a c^2-b c^2-c^3) (a^3+a^2 b+a b^2+b^3+a^2 c+a b c+b^2 c-a c^2-b c^2-c^3) (-a^2 b+b^3-a^2 c-2 a b c-b^2 c-b c^2+c^3) : : , SEARCH = -0.7907166810647118, on the line {4,2906}.

P3 = a (a^2+b^2-c^2) (a^2-b^2+c^2) (a^2 b-b^3+a^2 c+2 a b c+b^2 c+b c^2-c^3) (a^3-a^2 b-a b^2+b^3-a^2 c-a b c-a c^2+c^3) (a^4-2 a^2 b^2+b^4-a^2 b c-a b^2 c-a b c^2-c^4) (a^4-b^4-a^2 b c-a b^2 c-2 a^2 c^2-a b c^2+c^4): : , SEARCH = 0.258405070612504, on the lines {1,2906}, {442,1844}.

P4 = (a^3-a^2 b-a b^2+b^3-a b c-b^2 c-b c^2+c^3) (a^3+b^3-a^2 c-a b c-b^2 c-a c^2-b c^2+c^3) (a^4-b^4+a^2 b c+a b^2 c+a b c^2+2 b^2 c^2-c^4): : , SEARCH = 13.63598358852374, on the line {28,1838}.

These points are X(41492), X(41493), X(41494), X(41495) in ETC.