X2356

X2-ISOCONJUGATE OF X1814

X2356 = crossdifference of every pair of points on line X63X652
< 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, 4 }: Incenter–Orthocenter Line { 25, 41 }: Central Line L(25, 41) { 43, 459 }: Central Line L(43, 459) { 77, 1041 }: Central Line L(77, 1041) { 661, 663 }: Central Line L(661, 663) { 468, 899 }: Central Line L(468, 899) 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_4 = ORTHOCENTER (0.6122, 0.3958) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_459 = -CEVA CONJUGATE OF X(4) (0.5934, 0.8103) X_77 = ISOGONAL CONJUGATE OF X(33) (0.5270, 0.1305) X_1041 = ISOGONAL CONJUGATE OF X(1040) (0.6147, 0.4401) X_661 = CROSSDIFFERENCE OF X(1) AND X(21) (48.4286, -23.0952) X_663 = CROSSDIFFERENCE OF X(2) AND X(7) (8.6667, -3.2660) X_468 = -LINE CONJUGATE OF X(3) (0.7498, 0.7558) X_899 = INTERSECTION OF LINES X(1)X(2) AND X(6)X(750) (2.3571, 1.9829) X_2356 = -ISOCONJUGATE OF X(1814) (0.6915, 0.7112) A B C X1 X4 X25 X41 X43 X459 X77 X1041 X661 X663 X468 X899 X2356 (a, b, c) = (5, 6, 7) | AB = 1

X2356 (X2-ISOCONJUGATE OF X1814) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X1814
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(0.529782517795\)
▸ Incident Central Lines16 lines

{1, 4}, {6, 2212}, {25, 41}, {43, 459}, {55, 1395}, {77, 1041}, {108, 1429}, {468, 899}, {608, 2293}, {661, 663}, {1174, 2299}, {1458, 1876}, {1818, 1861}, {1827, 1880}, {1843, 2354}, {1974, 2273}

▸ Functional Relations4 relations