X2682

RS(X98, X110)

X2682 = orthopole of line X2X98
< 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) { 30, 113 }: Central Line L(30, 113) { 115, 512 }: Central Line L(115, 512) { 125, 1499 }: Central Line L(125, 1499) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_113 = JERABEK ANTIPODE (0.4319, 0.4718) X_115 = CENTER OF KIEPERT HYPERBOLA (0.7507, 0.0838) X_512 = ISOGONAL CONJUGATE OF X(99) (1.0394, -0.1040) X_125 = CENTER OF JERABEK HYPERBOLA (0.6803, 0.0260) X_1499 = POINT BIHAM (0.1078, 0.5997) X_2682 = RS(X(98), X(110)) (0.3714, 0.3135) A B C X30 X113 X115 X512 X125 X1499 X2682 (a, b, c) = (5, 6, 7) | AB = 1

X2682 (RS(X98, X110)) 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) is as given just before X2677 using P = X98, U = X110
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(2.992570427614\)
▸ Incident Central Lines3 lines

{30, 113}, {115, 512}, {125, 1499}

▸ Functional Relations1 relation