X1808

INVERSE MIMOSA TRANSFORM OF X511

X1808 = isogonal conjugate of X1874
< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 41, 60 }: Central Line L(41, 60) { 42, 81 }: Central Line L(42, 81) { 228, 295 }: Central Line L(228, 295) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1874 = ZOSMA TRANSFORM OF X(511) (0.6888, 0.6619) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_60 = ISOGONAL CONJUGATE OF X(12) (0.5790, 0.2258) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_228 = -CEVA CONJUGATE OF X(71) (0.5231, 0.1126) X_295 = ISOGONAL CONJUGATE OF X(242) (1.0582, 0.0142) X_1808 = INVERSE MIMOSA TRANSFORM OF X(511) (1.0779, 0.0105) A B C X1874 X41 X60 X42 X81 X228 X295 X1808 (a, b, c) = (5, 6, 7) | AB = 1

X1808 (INVERSE MIMOSA TRANSFORM OF X511) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = (\cos A)/(y + z)\),\(x : y : z\) = X511
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-0.324252341191\)
▸ Incident Central Lines3 lines

{41, 60}, {42, 81}, {228, 295}

▸ Functional Relations3 relations