X2684

RS(X99, X101)

X2684 = reflection of X2681 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) { 2681, 118 }: Central Line L(2681, 118) { 114, 325 }: Central Line L(114, 325) { 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_2681 = RS(X(98), X(101)) (0.3543, 0.3238) X_118 = MIDPOINT OF X(4) AND X(101) (0.4133, 0.4603) X_114 = KIEPERT ANTIPODE (0.3616, 0.4140) X_325 = -HIRST INVERSE OF X(69) (-0.3370, -0.7398) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_2684 = RS(X(99), X(101)) (0.4723, 0.5968) A B C X2681 X118 X114 X325 X516 X2684 (a, b, c) = (5, 6, 7) | AB = 1

X2684 (RS(X99, 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 = X99, U = X101
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-7.528788199888\)
▸ Incident Central Lines2 lines

{114, 325}, {118, 516}

▸ Functional Relations1 relation