X1796

INVERSE MIMOSA TRANSFORM OF X37

X1796 = X1268-Ceva conjugate of X1126
< 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) { 35, 42 }: Central Line L(35, 42) { 27, 1268 }: Central Line L(27, 1268) { 57, 1255 }: Central Line L(57, 1255) { 71, 1790 }: Central Line L(71, 1790) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1268 = ISOTOMIC CONJUGATE OF X(1125) (0.5286, 0.1917) X_1126 = ISOGONAL CONJUGATE OF X(1125) (0.5938, 0.2586) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_1255 = ISOGONAL CONJUGATE OF X(1100) (0.5639, 0.2247) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_1790 = INVERSE MIMOSA TRANSFORM OF X(6) (0.5188, 0.1134) X_1796 = INVERSE MIMOSA TRANSFORM OF X(37) (0.4899, 0.0968) A B C X1268 X1126 X35 X42 X27 X57 X1255 X71 X1790 X1796 (a, b, c) = (5, 6, 7) | AB = 1

X1796 (INVERSE MIMOSA TRANSFORM OF X37) 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 \(f(a,b,c) = (\cos A)/(y + z)\),\(x : y : z\) = X37
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(6.300010033079\)
▸ Incident Central Lines4 lines

{27, 1268}, {35, 42}, {57, 1255}, {71, 1790}

▸ Functional Relations4 relations