X1747

MIMOSA TRANSFORM OF X262

< 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) { 1, 82 }: Central Line L(1, 82) { 19, 91 }: Central Line L(19, 91) { 47, 240 }: Central Line L(47, 240) { 162, 1096 }: Central Line L(162, 1096) { 1737, 1890 }: Central Line L(1737, 1890) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_82 = ISOGONAL CONJUGATE OF X(38) (0.5943, 0.2703) X_19 = CLAWSON POINT (0.6246, 0.4244) X_91 = ISOGONAL CONJUGATE OF X(47) (-0.0865, -0.0205) X_47 = -BETH CONJUGATE OF X(34) (0.7279, 0.4389) X_240 = -LINE CONJUGATE OF X(48) (0.7457, 0.8594) X_162 = CEVAPOINT OF X(108) AND X(109) (0.4897, 0.6018) X_1096 = TRILINEAR SQUARE OF X(19) (0.6263, 0.5385) X_1737 = MIMOSA TRANSFORM OF X(104) (1.1156, 0.7665) X_1890 = ZOSMA TRANSFORM OF X(984) (0.6186, 0.4105) X_1747 = MIMOSA TRANSFORM OF X(262) (0.7301, 0.4903) A B C X1 X82 X19 X91 X47 X240 X162 X1096 X1737 X1890 X1747 (a, b, c) = (5, 6, 7) | AB = 1

X1747 (MIMOSA TRANSFORM OF X262) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X262
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-0.151836947045\)
▸ Incident Central Lines5 lines

{1, 82}, {19, 91}, {47, 240}, {162, 1096}, {1737, 1890}