X2685

RS(X101, X110)

X2685 = reflection of X2678 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) { 2678, 118 }: Central Line L(2678, 118) { 30, 113 }: Central Line L(30, 113) { 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_2678 = RS(X(74), X(101)) (0.2900, 0.1752) X_118 = MIDPOINT OF X(4) AND X(101) (0.4133, 0.4603) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_113 = JERABEK ANTIPODE (0.4319, 0.4718) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_2685 = RS(X(101), X(110)) (0.5365, 0.7455) A B C X2678 X118 X30 X113 X516 X2685 (a, b, c) = (5, 6, 7) | AB = 1

X2685 (RS(X101, 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 = X101, U = X110
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-8.634122655980\)
▸ Incident Central Lines2 lines

{30, 113}, {118, 516}

▸ Functional Relations1 relation