X1773

MIMOSA TRANSFORM OF X1038

< 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, 25 }: Central Line L(1, 25) { 10, 46 }: Central Line L(10, 46) { 40, 984 }: Central Line L(40, 984) { 169, 1400 }: Central Line L(169, 1400) { 244, 1468 }: Central Line L(244, 1468) { 57, 1722 }: Central Line L(57, 1722) 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_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_40 = BEVAN POINT (0.4286, -0.0292) X_984 = MIDPOINT OF X(8) AND X(192) (0.5421, 0.1984) X_169 = -CEVA CONJUGATE OF X(1) (0.5497, 0.2510) X_1400 = -BETH CONJUGATE OF X(37) (0.6246, 0.3268) X_244 = -LINE CONJUGATE OF X(100) (0.7857, 0.1166) X_1468 = -BETH CONJUGATE OF X(958) (0.6033, 0.2751) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_1722 = MIMOSA TRANSFORM OF X(56) (0.8571, 0.5132) X_1773 = MIMOSA TRANSFORM OF X(1038) (0.5873, 0.2890) A B C X1 X25 X10 X46 X40 X984 X169 X1400 X244 X1468 X57 X1722 X1773 (a, b, c) = (5, 6, 7) | AB = 1

X1773 (MIMOSA TRANSFORM OF X1038) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X1038
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(0.785366717108\)
▸ Incident Central Lines7 lines

{1, 25}, {10, 46}, {40, 984}, {57, 1722}, {169, 1400}, {244, 1468}, {388, 1452}

▸ Functional Relations1 relation