X1756

MIMOSA TRANSFORM OF X293

X1756 = reflection of X1 in X1284
< 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, 1284 }: Central Line L(1, 1284) { 9, 46 }: Central Line L(9, 46) { 1, 256 }: Central Line L(1, 256) { 36, 238 }: Central Line L(36, 238) { 1716, 1745 }: Central Line L(1716, 1745) 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_1284 = 8th SHARYGIN POINT (0.9846, 0.9156) X_9 = MITTENPUNKT (0.5110, 0.1615) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_256 = 1st SHARYGIN POINT (0.5601, 0.2146) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_1716 = MIMOSA TRANSFORM OF X(31) (0.8201, 0.4954) X_1745 = MIMOSA TRANSFORM OF X(255) (0.4689, -0.1747) X_1756 = MIMOSA TRANSFORM OF X(293) (1.3977, 1.5979) A B C X1 X1284 X9 X46 X256 X36 X238 X1716 X1745 X1756 (a, b, c) = (5, 6, 7) | AB = 1

X1756 (MIMOSA TRANSFORM OF X293) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X293
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-2.685297365485\)
▸ Incident Central Lines5 lines

{1, 256}, {9, 46}, {36, 238}, {1711, 1763}, {1716, 1745}

▸ Functional Relations6 relations