X1782

MIMOSA TRANSFORM OF X1257

< 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) { 8, 20 }: Central Line L(8, 20) { 19, 46 }: Central Line L(19, 46) { 58, 65 }: Central Line L(58, 65) { 71, 191 }: Central Line L(71, 191) { 4, 1726 }: Central Line L(4, 1726) { 10, 1762 }: Central Line L(10, 1762) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_8 = NAGEL POINT (0.4694, 0.1333) X_20 = DE LONGCHAMPS POINT (0.3878, -0.1916) X_19 = CLAWSON POINT (0.6246, 0.4244) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_191 = -CEVA CONJUGATE OF X(1) (0.4859, 0.1209) X_4 = ORTHOCENTER (0.6122, 0.3958) X_1726 = MIMOSA TRANSFORM OF X(75) (0.5578, 0.3872) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_1762 = MIMOSA TRANSFORM OF X(307) (0.5223, 0.2162) X_1782 = MIMOSA TRANSFORM OF X(1257) (0.5322, 0.3832) A B C X8 X20 X19 X46 X58 X65 X71 X191 X4 X1726 X10 X1762 X1782 (a, b, c) = (5, 6, 7) | AB = 1

X1782 (MIMOSA TRANSFORM OF X1257) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X1257
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-1.714708602724\)
▸ Incident Central Lines9 lines

{4, 1726}, {8, 20}, {10, 1762}, {19, 46}, {58, 65}, {71, 191}, {580, 1829}, {1710, 1770}, {1737, 1842}