X2681

RS(X98, X101)

X2681 = reflection of X2684 in X118
< 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) { 2684, 118 }: Central Line L(2684, 118) { 115, 512 }: Central Line L(115, 512) { 118, 516 }: Central Line L(118, 516) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2684 = RS(X(99), X(101)) (0.4723, 0.5968) X_118 = MIDPOINT OF X(4) AND X(101) (0.4133, 0.4603) X_115 = CENTER OF KIEPERT HYPERBOLA (0.7507, 0.0838) X_512 = ISOGONAL CONJUGATE OF X(99) (1.0394, -0.1040) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_2681 = RS(X(98), X(101)) (0.3543, 0.3238) A B C X2684 X118 X115 X512 X516 X2681 (a, b, c) = (5, 6, 7) | AB = 1

X2681 (RS(X98, X101)) 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 = X101
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(3.172675525314\)
▸ Incident Central Lines2 lines

{115, 512}, {118, 516}

▸ Functional Relations1 relation